File: metaUp2.expected

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maude 3.5.1-1
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==========================================
reduce in META-LEVEL : upSorts('META-LEVEL, true) .
rewrites: 1
result NeSortSet: 'Assignment ; 'Attr ; 'AttrSet ; 'Bool ; 'Bound ;
    'CallStrategy ; 'Char ; 'Condition ; 'Constant ; 'Context ; 'EmptyCommaList
    ; 'EmptyQidSet ; 'EqCondition ; 'Equation ; 'EquationSet ; 'Expression ;
    'FModule ; 'FTheory ; 'FindResult ; 'GTermList ; 'GroundTerm ;
    'GroundTermList ; 'Header ; 'Hook ; 'HookList ; 'Import ; 'ImportList ;
    'Kind ; 'KindSet ; 'MatchOrUnificationPair ; 'MatchPair ; 'MatchPair? ;
    'MatchingProblem ; 'MembAx ; 'MembAxSet ; 'Module ; 'ModuleExpression ;
    'NarrowingApplyResult ; 'NarrowingApplyResult? ; 'NarrowingSearchPathResult
    ; 'NarrowingSearchPathResult? ; 'NarrowingSearchResult ;
    'NarrowingSearchResult? ; 'NarrowingStep ; 'NarrowingTrace ; 'Nat ;
    'NatList ; 'NeCTermList ; 'NeGroundTermList ; 'NeHookList ; 'NeKindSet ;
    'NeNatList ; 'NeParameterDeclList ; 'NeParameterList ; 'NeQidList ;
    'NeQidSet ; 'NeSortSet ; 'NeTermList ; 'NeTypeList ; 'NeTypeSet ;
    'NeVariableSet ; 'NzNat ; 'OpDecl ; 'OpDeclSet ; 'OpMapping ; 'OpMappingSet
    ; 'ParameterDecl ; 'ParameterDeclList ; 'ParameterList ; 'Parent ;
    'PatternSubjectPair ; 'PrintOption ; 'PrintOptionSet ; 'Qid ; 'QidList ;
    'QidSet ; 'Renaming ; 'RenamingSet ; 'Result4Tuple ; 'Result4Tuple? ;
    'ResultPair ; 'ResultPair? ; 'ResultTriple ; 'ResultTriple? ; 'Rule ;
    'RuleApplication ; 'RuleSet ; 'SModule ; 'STheory ; 'SmtResult ;
    'SmtResult? ; 'Sort ; 'SortMapping ; 'SortMappingSet ; 'SortSet ;
    'SrewriteOption ; 'StratDecl ; 'StratDeclSet ; 'StratDefSet ;
    'StratDefinition ; 'StratMapping ; 'StratMappingSet ; 'StratModule ;
    'StratTheory ; 'Strategy ; 'Strategy? ; 'StrategyList ; 'String ;
    'SubsortDecl ; 'SubsortDeclSet ; 'Substitution ; 'Substitution? ; 'Term ;
    'TermList ; 'TermQid ; 'Trace ; 'Trace? ; 'TraceStep ; 'Type ; 'Type? ;
    'TypeList ; 'TypeListSet ; 'TypeSet ; 'UnificandPair ; 'UnificationPair ;
    'UnificationPair? ; 'UnificationProblem ; 'UnificationTriple ;
    'UnificationTriple? ; 'UsingPair ; 'UsingPairSet ; 'Variable ; 'VariableSet
    ; 'Variant ; 'Variant? ; 'VariantOption ; 'VariantOptionSet ; 'View ;
    'ViewExpression ; 'Zero
==========================================
reduce in META-LEVEL : upSorts('META-LEVEL, false) .
rewrites: 1
result NeSortSet: 'MatchOrUnificationPair ; 'MatchPair ; 'MatchPair? ;
    'MatchingProblem ; 'NarrowingApplyResult ; 'NarrowingApplyResult? ;
    'NarrowingSearchPathResult ; 'NarrowingSearchPathResult? ;
    'NarrowingSearchResult ; 'NarrowingSearchResult? ; 'NarrowingStep ;
    'NarrowingTrace ; 'NeVariableSet ; 'Parent ; 'PatternSubjectPair ;
    'PrintOption ; 'PrintOptionSet ; 'Result4Tuple ; 'Result4Tuple? ;
    'ResultPair ; 'ResultPair? ; 'ResultTriple ; 'ResultTriple? ; 'SmtResult ;
    'SmtResult? ; 'SrewriteOption ; 'Strategy? ; 'Substitution? ; 'Trace ;
    'Trace? ; 'TraceStep ; 'Type? ; 'UnificandPair ; 'UnificationPair ;
    'UnificationPair? ; 'UnificationProblem ; 'UnificationTriple ;
    'UnificationTriple? ; 'VariableSet ; 'Variant ; 'Variant? ; 'VariantOption
    ; 'VariantOptionSet
==========================================
reduce in META-LEVEL : upSubsortDecls('META-LEVEL, true) .
rewrites: 2
result SubsortDeclSet: subsort 'Assignment < 'Substitution .
subsort 'Attr < 'AttrSet .
subsort 'CallStrategy < 'Strategy .
subsort 'Char < 'String .
subsort 'Constant < 'GroundTerm .
subsort 'Constant < 'TermQid .
subsort 'Context < 'NeCTermList .
subsort 'EmptyCommaList < 'GroundTermList .
subsort 'EmptyCommaList < 'ParameterList .
subsort 'EmptyQidSet < 'KindSet .
subsort 'EmptyQidSet < 'SortSet .
subsort 'EmptyQidSet < 'VariableSet .
subsort 'EqCondition < 'Condition .
subsort 'Equation < 'EquationSet .
subsort 'Expression < 'ModuleExpression .
subsort 'Expression < 'ViewExpression .
subsort 'FModule < 'SModule .
subsort 'FTheory < 'STheory .
subsort 'GroundTerm < 'NeGroundTermList .
subsort 'GroundTerm < 'Term .
subsort 'GroundTermList < 'TermList .
subsort 'Hook < 'NeHookList .
subsort 'Import < 'ImportList .
subsort 'Kind < 'NeKindSet .
subsort 'Kind < 'Type .
subsort 'KindSet < 'TypeSet .
subsort 'MatchPair < 'MatchOrUnificationPair .
subsort 'MatchPair < 'MatchPair? .
subsort 'MembAx < 'MembAxSet .
subsort 'NarrowingApplyResult < 'NarrowingApplyResult? .
subsort 'NarrowingSearchPathResult < 'NarrowingSearchPathResult? .
subsort 'NarrowingSearchResult < 'NarrowingSearchResult? .
subsort 'NarrowingStep < 'NarrowingTrace .
subsort 'Nat < 'Bound .
subsort 'Nat < 'FindResult .
subsort 'Nat < 'NeNatList .
subsort 'Nat < 'Parent .
subsort 'NeCTermList < 'GTermList .
subsort 'NeGroundTermList < 'GroundTermList .
subsort 'NeGroundTermList < 'NeTermList .
subsort 'NeHookList < 'HookList .
subsort 'NeKindSet < 'KindSet .
subsort 'NeKindSet < 'NeTypeSet .
subsort 'NeNatList < 'NatList .
subsort 'NeParameterDeclList < 'ParameterDeclList .
subsort 'NeParameterList < 'ParameterList .
subsort 'NeQidList < 'QidList .
subsort 'NeQidSet < 'QidSet .
subsort 'NeSortSet < 'NeTypeSet .
subsort 'NeSortSet < 'SortSet .
subsort 'NeTermList < 'TermList .
subsort 'NeTypeList < 'NeQidList .
subsort 'NeTypeList < 'TypeList .
subsort 'NeTypeSet < 'NeQidSet .
subsort 'NeTypeSet < 'TypeSet .
subsort 'NeVariableSet < 'NeQidSet .
subsort 'NeVariableSet < 'VariableSet .
subsort 'NzNat < 'Nat .
subsort 'OpDecl < 'OpDeclSet .
subsort 'OpMapping < 'OpMappingSet .
subsort 'ParameterDecl < 'NeParameterDeclList .
subsort 'PatternSubjectPair < 'MatchingProblem .
subsort 'PrintOption < 'PrintOptionSet .
subsort 'Qid < 'Header .
subsort 'Qid < 'NeQidList .
subsort 'Qid < 'NeQidSet .
subsort 'Renaming < 'RenamingSet .
subsort 'Result4Tuple < 'Result4Tuple? .
subsort 'ResultPair < 'ResultPair? .
subsort 'ResultTriple < 'ResultTriple? .
subsort 'Rule < 'RuleSet .
subsort 'RuleApplication < 'Strategy .
subsort 'SModule < 'Module .
subsort 'SModule < 'StratModule .
subsort 'STheory < 'Module .
subsort 'STheory < 'StratTheory .
subsort 'SmtResult < 'SmtResult? .
subsort 'Sort < 'Expression .
subsort 'Sort < 'NeSortSet .
subsort 'Sort < 'Type .
subsort 'SortMapping < 'SortMappingSet .
subsort 'SortSet < 'TypeSet .
subsort 'StratDecl < 'StratDeclSet .
subsort 'StratDefinition < 'StratDefSet .
subsort 'StratMapping < 'StratMappingSet .
subsort 'StratModule < 'Module .
subsort 'StratTheory < 'Module .
subsort 'Strategy < 'Strategy? .
subsort 'Strategy < 'StrategyList .
subsort 'SubsortDecl < 'SubsortDeclSet .
subsort 'Substitution < 'Substitution? .
subsort 'Term < 'NeTermList .
subsort 'TermList < 'GTermList .
subsort 'TermQid < 'Qid .
subsort 'TermQid < 'Term .
subsort 'Trace < 'Trace? .
subsort 'TraceStep < 'Trace .
subsort 'Type < 'NeTypeList .
subsort 'Type < 'NeTypeSet .
subsort 'Type < 'Qid .
subsort 'Type < 'Type? .
subsort 'TypeList < 'QidList .
subsort 'TypeList < 'TypeListSet .
subsort 'TypeSet < 'QidSet .
subsort 'TypeSet < 'TypeListSet .
subsort 'UnificandPair < 'UnificationProblem .
subsort 'UnificationPair < 'MatchOrUnificationPair .
subsort 'UnificationPair < 'UnificationPair? .
subsort 'UnificationTriple < 'UnificationTriple? .
subsort 'UsingPair < 'UsingPairSet .
subsort 'Variable < 'NeVariableSet .
subsort 'Variable < 'TermQid .
subsort 'VariableSet < 'QidSet .
subsort 'Variant < 'Variant? .
subsort 'VariantOption < 'VariantOptionSet .
subsort 'ViewExpression < 'NeParameterList .
subsort 'Zero < 'Nat .
==========================================
reduce in META-LEVEL : upSubsortDecls('META-LEVEL, false) .
rewrites: 1
result SubsortDeclSet: subsort 'EmptyQidSet < 'VariableSet .
subsort 'MatchPair < 'MatchOrUnificationPair .
subsort 'MatchPair < 'MatchPair? .
subsort 'NarrowingApplyResult < 'NarrowingApplyResult? .
subsort 'NarrowingSearchPathResult < 'NarrowingSearchPathResult? .
subsort 'NarrowingSearchResult < 'NarrowingSearchResult? .
subsort 'NarrowingStep < 'NarrowingTrace .
subsort 'Nat < 'Parent .
subsort 'NeVariableSet < 'NeQidSet .
subsort 'NeVariableSet < 'VariableSet .
subsort 'PatternSubjectPair < 'MatchingProblem .
subsort 'PrintOption < 'PrintOptionSet .
subsort 'Result4Tuple < 'Result4Tuple? .
subsort 'ResultPair < 'ResultPair? .
subsort 'ResultTriple < 'ResultTriple? .
subsort 'SmtResult < 'SmtResult? .
subsort 'Strategy < 'Strategy? .
subsort 'Substitution < 'Substitution? .
subsort 'Trace < 'Trace? .
subsort 'TraceStep < 'Trace .
subsort 'Type < 'Type? .
subsort 'UnificandPair < 'UnificationProblem .
subsort 'UnificationPair < 'MatchOrUnificationPair .
subsort 'UnificationPair < 'UnificationPair? .
subsort 'UnificationTriple < 'UnificationTriple? .
subsort 'Variable < 'NeVariableSet .
subsort 'VariableSet < 'QidSet .
subsort 'Variant < 'Variant? .
subsort 'VariantOption < 'VariantOptionSet .
==========================================
reduce in META-LEVEL : upImports('META-LEVEL) .
rewrites: 1
result ImportList: protecting 'META-VIEW .
protecting 'BOUND .
==========================================
reduce in META-LEVEL : upImports('NAT) .
rewrites: 1
result Import: protecting 'BOOL .
==========================================
reduce in META-LEVEL : upImports('TRUTH-VALUE) .
rewrites: 1
result ImportList: (nil).ImportList
==========================================
reduce in META-LEVEL : upOpDecls('TRUTH-VALUE, true) .
*********** equation
(built-in equation for symbol upOpDecls)
upOpDecls('TRUTH-VALUE, true)
--->
op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
rewrites: 1
result OpDeclSet: op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
==========================================
reduce in META-LEVEL : upOpDecls('META-LEVEL, true) .
rewrites: 1
result OpDeclSet: op '$applySubstitution : 'NeTermList 'Substitution -> 'Term [
    none] .
op '$card : 'QidSet 'Nat -> 'Nat [none] .
op '$diff : 'QidSet 'QidSet 'QidSet -> 'QidSet [none] .
op '$intersect : 'QidSet 'QidSet 'QidSet -> 'QidSet [none] .
op '$reverse : 'NatList 'NatList -> 'NatList [none] .
op '$reverse : 'QidList 'QidList -> 'QidList [none] .
op '$size : 'NatList 'Nat -> 'Nat [none] .
op '$size : 'QidList 'Nat -> 'Nat [none] .
op '0 : nil -> 'Zero [ctor] .
op '<Qids> : nil -> 'Constant [special(
    id-hook('QuotedIdentifierSymbol, 'constantQid))] .
op '<Qids> : nil -> 'Kind [special(
    id-hook('QuotedIdentifierSymbol, 'kindQid))] .
op '<Qids> : nil -> 'Qid [special(
    id-hook('QuotedIdentifierSymbol, nil))] .
op '<Qids> : nil -> 'Sort [special(
    id-hook('QuotedIdentifierSymbol, 'sortQid))] .
op '<Qids> : nil -> 'Variable [special(
    id-hook('QuotedIdentifierSymbol, 'variableQid))] .
op '<Strings> : nil -> 'Char [special(
    id-hook('StringSymbol, nil))] .
op '<Strings> : nil -> 'String [special(
    id-hook('StringSymbol, nil))] .
op '_! : 'Strategy -> 'Strategy [ctor] .
op '_&_ : 'Nat 'Nat -> 'Nat [assoc comm prec(53) special(
    id-hook('ACU_NumberOpSymbol, '&) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_* : 'Strategy -> 'Strategy [ctor] .
op '_*_ : 'Nat 'Nat -> 'Nat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_*_ : 'NzNat 'NzNat -> 'NzNat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_*`(_`) : 'ModuleExpression 'RenamingSet -> 'ModuleExpression [ctor prec(
    39) format('d 'd 's 'n++i 'n--i 'd)] .
op '_+ : 'Strategy -> 'Strategy [ctor] .
op '_+_ : 'ModuleExpression 'ModuleExpression -> 'ModuleExpression [assoc comm
    ctor] .
op '_+_ : 'Nat 'Nat -> 'Nat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_+_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_+_ : 'String 'String -> 'String [prec(33) gather('E 'e) special(
    id-hook('StringOpSymbol, '+) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
op '_/\_ : 'Condition 'Condition -> 'Condition [assoc ctor id('nil.EqCondition)
    prec(73)] .
op '_/\_ : 'EqCondition 'EqCondition -> 'EqCondition [assoc ctor id(
    'nil.EqCondition) prec(73)] .
op '_/\_ : 'MatchingProblem 'MatchingProblem -> 'MatchingProblem [assoc comm
    ctor prec(73)] .
op '_/\_ : 'UnificationProblem 'UnificationProblem -> 'UnificationProblem [
    assoc comm ctor prec(73)] .
op '_::_ : 'Sort 'ModuleExpression -> 'ParameterDecl [none] .
op '_:=_ : 'Term 'Term -> 'EqCondition [ctor prec(71)] .
op '_:_ : 'Term 'Sort -> 'EqCondition [ctor prec(71)] .
op '_;_ : 'EmptyQidSet 'EmptyQidSet -> 'EmptyQidSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'KindSet 'KindSet -> 'KindSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
op '_;_ : 'NeKindSet 'KindSet -> 'NeKindSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'NeQidSet 'QidSet -> 'NeQidSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
op '_;_ : 'NeSortSet 'SortSet -> 'NeSortSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'NeTypeSet 'TypeSet -> 'NeTypeSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'NeVariableSet 'VariableSet -> 'NeVariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'QidSet 'QidSet -> 'QidSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
op '_;_ : 'SortSet 'SortSet -> 'SortSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
op '_;_ : 'Strategy 'Strategy -> 'Strategy [assoc ctor id('idle.Strategy) prec(
    39) gather('e 'E)] .
op '_;_ : 'Substitution 'Substitution -> 'Substitution [assoc comm ctor id(
    'none.Substitution) prec(65)] .
op '_;_ : 'TypeListSet 'TypeListSet -> 'TypeListSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'TypeSet 'TypeSet -> 'TypeSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
op '_;_ : 'VariableSet 'VariableSet -> 'VariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_<-_ : 'Variable 'Term -> 'Assignment [ctor prec(63) format('n++i 'd 'd
    '--)] .
op '_<<_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '<<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_<=?_ : 'Term 'Term -> 'PatternSubjectPair [ctor prec(71)] .
op '_<=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_<=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_<_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_<_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
op '_=>_ : 'Term 'Term -> 'Condition [ctor prec(71)] .
op '_=?_ : 'Term 'Term -> 'UnificandPair [ctor prec(71)] .
op '_=_ : 'Term 'Term -> 'EqCondition [ctor prec(71)] .
op '_>=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_>=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_>>_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '>>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_>_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_>_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_?_:_ : 'Strategy 'Strategy 'Strategy -> 'Strategy [ctor prec(55)] .
op '_\_ : 'QidSet 'QidSet -> 'QidSet [gather('E 'e)] .
op '_^_ : 'Nat 'Nat -> 'Nat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_^_ : 'NzNat 'Nat -> 'NzNat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '__ : 'AttrSet 'AttrSet -> 'AttrSet [assoc comm ctor id('none.AttrSet)] .
op '__ : 'EquationSet 'EquationSet -> 'EquationSet [assoc comm ctor id(
    'none.EquationSet) format('d 'ni 'd)] .
op '__ : 'HookList 'HookList -> 'HookList [assoc ctor id('nil.HookList)] .
op '__ : 'HookList 'NeHookList -> 'NeHookList [assoc ctor id('nil.HookList)] .
op '__ : 'ImportList 'ImportList -> 'ImportList [assoc ctor id('nil.ImportList)
    format('d 'ni 'd)] .
op '__ : 'MembAxSet 'MembAxSet -> 'MembAxSet [assoc comm ctor id(
    'none.MembAxSet) format('d 'ni 'd)] .
op '__ : 'NarrowingTrace 'NarrowingTrace -> 'NarrowingTrace [assoc ctor id(
    'nil.NarrowingTrace)] .
op '__ : 'NatList 'NatList -> 'NatList [assoc ctor id('nil.NatList) prec(25)] .
op '__ : 'NatList 'NeNatList -> 'NeNatList [assoc ctor id('nil.NatList) prec(
    25)] .
op '__ : 'NeHookList 'HookList -> 'NeHookList [assoc ctor id('nil.HookList)] .
op '__ : 'NeNatList 'NatList -> 'NeNatList [assoc ctor id('nil.NatList) prec(
    25)] .
op '__ : 'NeQidList 'QidList -> 'NeQidList [assoc ctor id('nil.TypeList) prec(
    25)] .
op '__ : 'NeTypeList 'TypeList -> 'NeTypeList [assoc ctor id('nil.TypeList)
    prec(25)] .
op '__ : 'OpDeclSet 'OpDeclSet -> 'OpDeclSet [assoc comm ctor id(
    'none.OpDeclSet) format('d 'ni 'd)] .
op '__ : 'OpMappingSet 'OpMappingSet -> 'OpMappingSet [assoc comm ctor id(
    'none.OpMappingSet) format('d 'ni 'd)] .
op '__ : 'PrintOptionSet 'PrintOptionSet -> 'PrintOptionSet [assoc comm ctor
    id('none.PrintOptionSet)] .
op '__ : 'QidList 'NeQidList -> 'NeQidList [assoc ctor id('nil.TypeList) prec(
    25)] .
op '__ : 'QidList 'QidList -> 'QidList [assoc ctor id('nil.TypeList) prec(25)]
    .
op '__ : 'RuleSet 'RuleSet -> 'RuleSet [assoc comm ctor id('none.RuleSet)
    format('d 'ni 'd)] .
op '__ : 'SortMappingSet 'SortMappingSet -> 'SortMappingSet [assoc comm ctor
    id('none.SortMappingSet) format('d 'ni 'd)] .
op '__ : 'StratDeclSet 'StratDeclSet -> 'StratDeclSet [assoc comm ctor id(
    'none.StratDeclSet) format('d 'ni 'd)] .
op '__ : 'StratDefSet 'StratDefSet -> 'StratDefSet [assoc comm ctor id(
    'none.StratDefSet) format('d 'ni 'd)] .
op '__ : 'StratMappingSet 'StratMappingSet -> 'StratMappingSet [assoc comm ctor
    id('none.StratMappingSet) format('d 'ni 'd)] .
op '__ : 'SubsortDeclSet 'SubsortDeclSet -> 'SubsortDeclSet [assoc comm ctor
    id('none.SubsortDeclSet) format('d 'ni 'd)] .
op '__ : 'Trace 'Trace -> 'Trace [assoc ctor id('nil.Trace) format('d 'n 'd)] .
op '__ : 'TypeList 'NeTypeList -> 'NeTypeList [assoc ctor id('nil.TypeList)
    prec(25)] .
op '__ : 'TypeList 'TypeList -> 'TypeList [assoc ctor id('nil.TypeList) prec(
    25)] .
op '__ : 'VariantOptionSet 'VariantOptionSet -> 'VariantOptionSet [assoc comm
    ctor id('none.VariantOptionSet)] .
op '_`,_ : 'EmptyCommaList 'EmptyCommaList -> 'EmptyCommaList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'GTermList 'GTermList -> 'GTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'GroundTermList 'GroundTermList -> 'GroundTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'GroundTermList 'NeGroundTermList -> 'NeGroundTermList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'NeCTermList 'TermList -> 'NeCTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'NeGroundTermList 'GroundTermList -> 'NeGroundTermList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'NeParameterDeclList 'ParameterDeclList -> 'NeParameterDeclList [
    assoc ctor id('nil.ParameterDeclList) prec(121)] .
op '_`,_ : 'NeParameterList 'ParameterList -> 'NeParameterList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'NeTermList 'TermList -> 'NeTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'ParameterDeclList 'NeParameterDeclList -> 'NeParameterDeclList [
    assoc ctor id('nil.ParameterDeclList) prec(121)] .
op '_`,_ : 'ParameterDeclList 'ParameterDeclList -> 'ParameterDeclList [assoc
    ctor id('nil.ParameterDeclList) prec(121)] .
op '_`,_ : 'ParameterList 'NeParameterList -> 'NeParameterList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'ParameterList 'ParameterList -> 'ParameterList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'RenamingSet 'RenamingSet -> 'RenamingSet [assoc comm ctor prec(43)
    format('d 'd 'ni 'd)] .
op '_`,_ : 'StrategyList 'StrategyList -> 'StrategyList [assoc ctor id(
    'empty.StrategyList)] .
op '_`,_ : 'TermList 'NeCTermList -> 'NeCTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'TermList 'NeTermList -> 'NeTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'TermList 'TermList -> 'TermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
op '_`,_ : 'UsingPairSet 'UsingPairSet -> 'UsingPairSet [assoc comm ctor prec(
    61)] .
op '_`[_`] : 'Qid 'NeCTermList -> 'Context [ctor] .
op '_`[_`] : 'Qid 'NeGroundTermList -> 'GroundTerm [ctor] .
op '_`[_`] : 'Qid 'NeTermList -> 'Term [ctor] .
op '_`[_`]`{_`} : 'Qid 'Substitution 'StrategyList -> 'RuleApplication [ctor
    prec(21)] .
op '_`[`[_`]`] : 'Qid 'TermList -> 'CallStrategy [ctor prec(21)] .
op '_`{_`} : 'Expression 'NeParameterList -> 'Expression [ctor prec(37)] .
op '_`{_`} : 'ModuleExpression 'NeParameterList -> 'ModuleExpression [ctor
    prec(37)] .
op '_`{_`} : 'Qid 'ParameterDeclList -> 'Header [ctor] .
op '_`{_`} : 'ViewExpression 'NeParameterList -> 'ViewExpression [ctor prec(
    37)] .
op '_and-then_ : 'Bool 'Bool -> 'Bool [strat(1 0) prec(55) gather('e 'E)] .
op '_and_ : 'Bool 'Bool -> 'Bool [assoc comm prec(55)] .
op '_divides_ : 'NzNat 'Nat -> 'Bool [prec(51) special(
    id-hook('NumberOpSymbol, 'divides) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op '_implies_ : 'Bool 'Bool -> 'Bool [prec(61) gather('e 'E)] .
op '_in_ : 'Qid 'QidSet -> 'Bool [none] .
op '_or-else_ : 'Bool 'Bool -> 'Bool [strat(1 0) prec(59) gather('e 'E)] .
op '_or-else_ : 'Strategy 'Strategy -> 'Strategy [assoc ctor prec(43) gather('e
    'E)] .
op '_or_ : 'Bool 'Bool -> 'Bool [assoc comm prec(59)] .
op '_psubset_ : 'QidSet 'QidSet -> 'Bool [none] .
op '_quo_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'quo) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_rem_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'rem) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_subset_ : 'QidSet 'QidSet -> 'Bool [none] .
op '_using_ : 'Variable 'Strategy -> 'UsingPair [ctor prec(21)] .
op '_xor_ : 'Bool 'Bool -> 'Bool [assoc comm prec(57)] .
op '_xor_ : 'Nat 'Nat -> 'Nat [assoc comm prec(55) special(
    id-hook('ACU_NumberOpSymbol, 'xor) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_|_ : 'Nat 'Nat -> 'Nat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_|_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op '_|_ : 'Strategy 'Strategy -> 'Strategy [assoc comm ctor id('fail.Strategy)
    prec(41) gather('e 'E)] .
op '`[_`] : 'Qid -> 'Module [none] .
op '`[`] : nil -> 'Context [ctor] .
op '`{_`,_`,_`,_`,_`,_`,_`} : 'Context 'Qid 'Substitution 'Qid 'Term 'Type
    'Substitution -> 'NarrowingStep [ctor format('ni 'n++i 'd 'ni 'd 's 'd 'ni
    'd 'ni 'd 's 'd 's 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Context 'Qid 'Substitution
    'Substitution 'Qid -> 'NarrowingApplyResult [ctor format('d 'n++i 'd 's 'd
    'ni 'd 'ni 'd 's 'd 's 'd 'ni 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'NarrowingTrace
    'Substitution 'Qid -> 'NarrowingSearchPathResult [ctor format('d 'n++i 'd
    's 'd 's 'd 's 'd 's 'd 'ni 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Qid 'Substitution 'Qid ->
    'NarrowingSearchResult [ctor format('d 'n++i 'd 's 'd 's 'd 'ni 'd 's 'd
    'ni 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Nat 'Parent 'Bool -> 'Variant [
    ctor] .
op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Qid 'Parent 'Bool -> 'Variant [
    ctor] .
op '`{_`,_`,_`,_`} : 'Term 'Substitution 'Term 'Nat -> 'SmtResult [ctor] .
op '`{_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Context -> 'Result4Tuple [ctor]
    .
op '`{_`,_`,_`} : 'Substitution 'Substitution 'Nat -> 'UnificationTriple [ctor]
    .
op '`{_`,_`,_`} : 'Substitution 'Substitution 'Qid -> 'UnificationTriple [ctor]
    .
op '`{_`,_`,_`} : 'Term 'Type 'Rule -> 'TraceStep [ctor] .
op '`{_`,_`,_`} : 'Term 'Type 'Substitution -> 'ResultTriple [ctor] .
op '`{_`,_`} : 'Substitution 'Context -> 'MatchPair [ctor] .
op '`{_`,_`} : 'Substitution 'Nat -> 'UnificationPair [ctor] .
op '`{_`,_`} : 'Substitution 'Qid -> 'UnificationPair [ctor] .
op '`{_`,_`} : 'Term 'Type -> 'ResultPair [ctor] .
op 'all : nil -> 'RuleApplication [ctor] .
op 'amatch_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
op 'amatchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor] .
op 'ambiguity : 'ResultPair 'ResultPair -> 'ResultPair? [ctor] .
op 'ambiguity : 'Strategy 'Strategy -> 'Strategy? [ctor] .
op 'anyType : nil -> 'Type? [ctor] .
op 'append : 'NatList 'NatList -> 'NatList [none] .
op 'append : 'NatList 'NeNatList -> 'NeNatList [none] .
op 'append : 'NeNatList 'NatList -> 'NeNatList [none] .
op 'append : 'NeQidList 'QidList -> 'NeQidList [none] .
op 'append : 'QidList 'NeQidList -> 'NeQidList [none] .
op 'append : 'QidList 'QidList -> 'QidList [none] .
op 'applySubstitution : 'Module 'Term 'Substitution -> 'Term [none] .
op 'ascii : 'Char -> 'Nat [special(
    id-hook('StringOpSymbol, 'ascii) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'assoc : nil -> 'Attr [ctor] .
op 'breadthFirst : nil -> 'SrewriteOption [ctor] .
op 'ceq_=_if_`[_`]. : 'Term 'Term 'EqCondition 'AttrSet -> 'Equation [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
op 'char : '`[FindResult`,NatList`,Bound`,Parent`] -> '`[String`] [special(
    id-hook('StringOpSymbol, 'char) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'cmb_:_if_`[_`]. : 'Term 'Sort 'EqCondition 'AttrSet -> 'MembAx [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
op 'comm : nil -> 'Attr [ctor] .
op 'completeName : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCompleteName) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'config : nil -> 'Attr [ctor] .
op 'crl_=>_if_`[_`]. : 'Term 'Term 'Condition 'AttrSet -> 'Rule [ctor format('d
    'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
op 'csd_:=_if_`[_`]. : 'CallStrategy 'Strategy 'EqCondition 'AttrSet ->
    'StratDefinition [ctor format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
op 'ctor : nil -> 'Attr [ctor] .
op 'delay : nil -> 'VariantOption [ctor] .
op 'delete : 'Qid 'QidSet -> 'QidSet [none] .
op 'depthFirst : nil -> 'SrewriteOption [ctor] .
op 'downTerm : 'Term 'Universal -> 'Universal [poly(2 0) special(
    id-hook('MetaLevelOpSymbol, 'metaDownTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'empty : nil -> 'EmptyCommaList [ctor] .
op 'empty : nil -> 'GroundTermList [ctor] .
op 'empty : nil -> 'StrategyList [ctor] .
op 'eq_=_`[_`]. : 'Term 'Term 'AttrSet -> 'Equation [ctor format('d 'd 'd 'd 's
    'd 'd 's 'd)] .
op 'extending_. : 'ModuleExpression -> 'Import [ctor] .
op 'fail : nil -> 'Strategy [ctor] .
op 'failure : nil -> 'NarrowingApplyResult? [ctor] .
op 'failure : nil -> 'NarrowingSearchPathResult? [ctor] .
op 'failure : nil -> 'NarrowingSearchResult? [ctor] .
op 'failure : nil -> 'Result4Tuple? [ctor] .
op 'failure : nil -> 'ResultPair? [ctor] .
op 'failure : nil -> 'ResultTriple? [ctor] .
op 'failure : nil -> 'SmtResult? [ctor] .
op 'failure : nil -> 'Trace? [ctor] .
op 'failureIncomplete : nil -> 'NarrowingApplyResult? [ctor] .
op 'failureIncomplete : nil -> 'NarrowingSearchPathResult? [ctor] .
op 'failureIncomplete : nil -> 'NarrowingSearchResult? [ctor] .
op 'failureIncomplete : nil -> 'ResultTriple? [ctor] .
op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
op 'filter : nil -> 'VariantOption [ctor] .
op 'find : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'find) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
op 'flat : nil -> 'PrintOption [ctor] .
op 'fmod_is_sorts_.____endfm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet -> 'FModule [ctor gather('& '& '& '& '&
    '& '&) format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'n--i 'd)] .
op 'format : 'QidList -> 'Attr [ctor] .
op 'format : nil -> 'PrintOption [ctor] .
op 'front : 'NeNatList -> 'NatList [none] .
op 'front : 'NeQidList -> 'QidList [none] .
op 'frozen : 'NeNatList -> 'Attr [ctor] .
op 'fth_is_sorts_.____endfth : 'Qid 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet -> 'FTheory [ctor gather('& '& '& '& '&
    '& '&) format('d 'd 'd 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'n--i 'd)] .
op 'gather : 'QidList -> 'Attr [ctor] .
op 'gcd : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'gcd : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'generated-by_. : 'ModuleExpression -> 'Import [ctor] .
op 'getAccumulatedSubstitution : 'NarrowingSearchResult -> 'Substitution [none]
    .
op 'getAccumulatedSubstitution : 'NarrowingStep -> 'Substitution [none] .
op 'getContext : 'MatchPair -> 'Context [none] .
op 'getContext : 'NarrowingApplyResult -> 'Context [none] .
op 'getContext : 'NarrowingStep -> 'Context [none] .
op 'getContext : 'Result4Tuple -> 'Context [none] .
op 'getEqs : 'Module -> 'EquationSet [none] .
op 'getFrom : 'View -> 'ModuleExpression [none] .
op 'getImports : 'Module -> 'ImportList [none] .
op 'getInitialSubstitution : 'NarrowingSearchPathResult -> 'Substitution [none]
    .
op 'getInitialTerm : 'NarrowingSearchPathResult -> 'Term [none] .
op 'getInitialType : 'NarrowingSearchPathResult -> 'Type [none] .
op 'getKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'getKinds : '`[Module`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKinds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'getLabel : 'NarrowingApplyResult -> 'Qid [none] .
op 'getLabel : 'NarrowingStep -> 'Qid [none] .
op 'getLhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
op 'getMbs : 'Module -> 'MembAxSet [none] .
op 'getMoreVariantsInLayerFlag : 'Variant -> 'Bool [none] .
op 'getName : 'Constant -> 'Qid [none] .
op 'getName : 'Module -> 'Qid [none] .
op 'getName : 'Variable -> 'Qid [none] .
op 'getName : 'View -> 'Qid [none] .
op 'getOpMappings : 'View -> 'OpMappingSet [none] .
op 'getOps : 'Module -> 'OpDeclSet [none] .
op 'getParent : 'Variant -> 'Parent [none] .
op 'getRhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
op 'getRls : 'Module -> 'RuleSet [none] .
op 'getRule : 'TraceStep -> 'Rule [none] .
op 'getRuleSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
op 'getSds : 'Module -> 'StratDefSet [none] .
op 'getSortMappings : 'View -> 'SortMappingSet [none] .
op 'getSorts : 'Module -> 'SortSet [none] .
op 'getStateVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
op 'getStratMappings : 'View -> 'StratMappingSet [none] .
op 'getStrats : 'Module -> 'StratDeclSet [none] .
op 'getSubsorts : 'Module -> 'SubsortDeclSet [none] .
op 'getSubstitution : 'MatchPair -> 'Substitution [none] .
op 'getSubstitution : 'Result4Tuple -> 'Substitution [none] .
op 'getSubstitution : 'ResultTriple -> 'Substitution [none] .
op 'getSubstitution : 'UnificationPair -> 'Substitution [none] .
op 'getSubstitution : 'Variant -> 'Substitution [none] .
op 'getTerm : 'NarrowingApplyResult -> 'Term [none] .
op 'getTerm : 'NarrowingSearchResult -> 'Term [none] .
op 'getTerm : 'NarrowingStep -> 'Term [none] .
op 'getTerm : 'Result4Tuple -> 'Term [none] .
op 'getTerm : 'ResultPair -> 'Term [none] .
op 'getTerm : 'ResultTriple -> 'Term [none] .
op 'getTerm : 'TraceStep -> 'Term [none] .
op 'getTerm : 'Variant -> 'Term [none] .
op 'getTermSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
op 'getTo : 'View -> 'ModuleExpression [none] .
op 'getTrace : 'NarrowingSearchPathResult -> 'NarrowingTrace [none] .
op 'getType : 'Constant -> 'Type [none] .
op 'getType : 'NarrowingApplyResult -> 'Type [none] .
op 'getType : 'NarrowingSearchResult -> 'Type [none] .
op 'getType : 'NarrowingStep -> 'Type [none] .
op 'getType : 'Result4Tuple -> 'Type [none] .
op 'getType : 'ResultPair -> 'Type [none] .
op 'getType : 'ResultTriple -> 'Type [none] .
op 'getType : 'TraceStep -> 'Type [none] .
op 'getType : 'Variable -> 'Type [none] .
op 'getUnifier : 'NarrowingSearchPathResult -> 'Substitution [none] .
op 'getUnifier : 'NarrowingSearchResult -> 'Substitution [none] .
op 'getUnifier : 'NarrowingStep -> 'Substitution [none] .
op 'getUnifierVariableFamily : 'NarrowingSearchPathResult -> 'Qid [none] .
op 'getUnifierVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
op 'getUnifierVariableFamily : 'NarrowingStep -> 'Qid [none] .
op 'getVariableFamily : 'NarrowingApplyResult -> 'Qid [none] .
op 'getVariableFamily : 'UnificationPair -> 'Qid [none] .
op 'getVariableFamily : 'UnificationTriple -> 'Qid [none] .
op 'getVariableFamily : 'Variant -> 'Qid [none] .
op 'glbSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGlbSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'head : 'NeNatList -> 'Nat [none] .
op 'head : 'NeQidList -> 'Qid [none] .
op 'id : 'Term -> 'Attr [ctor] .
op 'id-hook : 'Qid 'QidList -> 'Hook [ctor format('nssss 'd)] .
op 'idem : nil -> 'Attr [ctor] .
op 'idle : nil -> 'Strategy [ctor] .
op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
op 'including_. : 'ModuleExpression -> 'Import [ctor] .
op 'insert : 'Qid 'QidSet -> 'QidSet [none] .
op 'intersection : 'QidSet 'QidSet -> 'QidSet [none] .
op 'iter : nil -> 'Attr [ctor] .
op 'label : 'Qid -> 'Attr [ctor] .
op 'label_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
op 'last : 'NeNatList -> 'Nat [none] .
op 'last : 'NeQidList -> 'Qid [none] .
op 'latex : 'String -> 'Attr [ctor] .
op 'lcm : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'lcm : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'leastSort : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLeastSort) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'left-id : 'Term -> 'Attr [ctor] .
op 'length : 'String -> 'Nat [special(
    id-hook('StringOpSymbol, 'length) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'lesserSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLesserSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'lowerCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'lowerCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
op 'match_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
op 'matchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor] .
op 'max : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'max : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'maximalAritySet : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalAritySet) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'maximalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'mb_:_`[_`]. : 'Term 'Sort 'AttrSet -> 'MembAx [ctor format('d 'd 'd 'd 's
    'd 'd 's 'd)] .
op 'memo : nil -> 'Attr [ctor] .
op 'metaApply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaCheck : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCheck) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaFrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaFrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaIrredundantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaIrredundantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaMatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] '`[Bool`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow2) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'Nat ->
    'NarrowingApplyResult? [none] .
op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'VariantOptionSet 'Nat ->
    'NarrowingApplyResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchResult? [none] .
op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchPathResult? [none] .
op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchPathResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNormalize : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNormalize) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [
    none] .
op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParse) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaParseStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[StrategyList`,Strategy?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParseStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`]
    -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrint) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaPrettyPrintStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[StrategyList`,Strategy?`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrintStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaPrintToString : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[String`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrintToString) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaReduce : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaReduce) 
    op-hook('qidSymbol, '<Qids>, nil, 'Qid) 
    op-hook('metaTermSymbol, '_`[_`], 'Qid 'NeGroundTermList, 'GroundTerm) 
    op-hook('metaArgSymbol, '_`,_, 'NeGroundTermList 'GroundTermList,
    'NeGroundTermList) 
    op-hook('emptyTermListSymbol, 'empty, nil, 'GroundTermList) 
    op-hook('assignmentSymbol, '_<-_, 'Variable 'Term, 'Assignment) 
    op-hook('emptySubstitutionSymbol, 'none, nil, 'Substitution) 
    op-hook('substitutionSymbol, '_;_, 'Substitution 'Substitution,
    'Substitution) 
    op-hook('holeSymbol, '`[`], nil, 'Context) 
    op-hook('noConditionSymbol, 'nil, nil, 'EqCondition) 
    op-hook('equalityConditionSymbol, '_=_, 'Term 'Term, 'EqCondition) 
    op-hook('sortTestConditionSymbol, '_:_, 'Term 'Sort, 'EqCondition) 
    op-hook('matchConditionSymbol, '_:=_, 'Term 'Term, 'EqCondition) 
    op-hook('rewriteConditionSymbol, '_=>_, 'Term 'Term, 'Condition) 
    op-hook('conjunctionSymbol, '_/\_, 'EqCondition 'EqCondition, 'EqCondition)
    
    op-hook('failStratSymbol, 'fail, nil, 'Strategy) 
    op-hook('idleStratSymbol, 'idle, nil, 'Strategy) 
    op-hook('allStratSymbol, 'all, nil, 'RuleApplication) 
    op-hook('applicationStratSymbol, '_`[_`]`{_`}, 'Qid 'Substitution
    'StrategyList, 'RuleApplication) 
    op-hook('topStratSymbol, 'top, 'RuleApplication, 'Strategy) 
    op-hook('matchStratSymbol, 'match_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('xmatchStratSymbol, 'xmatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('amatchStratSymbol, 'amatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('unionStratSymbol, '_|_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('concatStratSymbol, '_;_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('orelseStratSymbol, '_or-else_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('plusStratSymbol, '_+, 'Strategy, 'Strategy) 
    op-hook('conditionalStratSymbol, '_?_:_, 'Strategy 'Strategy 'Strategy,
    'Strategy) 
    op-hook('matchrewStratSymbol, 'matchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('xmatchrewStratSymbol, 'xmatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('amatchrewStratSymbol, 'amatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('callStratSymbol, '_`[`[_`]`], 'Qid 'TermList, 'CallStrategy) 
    op-hook('oneStratSymbol, 'one, 'Strategy, 'Strategy) 
    op-hook('starStratSymbol, '_*, 'Strategy, 'Strategy) 
    op-hook('normalizationStratSymbol, '_!, 'Strategy, 'Strategy) 
    op-hook('notStratSymbol, 'not, 'Strategy, 'Strategy) 
    op-hook('testStratSymbol, 'test, 'Strategy, 'Strategy) 
    op-hook('tryStratSymbol, 'try, 'Strategy, 'Strategy) 
    op-hook('usingStratSymbol, '_using_, 'Variable 'Strategy, 'UsingPair) 
    op-hook('usingListStratSymbol, '_`,_, 'UsingPairSet 'UsingPairSet,
    'UsingPairSet) 
    op-hook('emptyStratListSymbol, 'empty, nil, 'StrategyList) 
    op-hook('stratListSymbol, '_`,_, 'StrategyList 'StrategyList,
    'StrategyList) 
    op-hook('headerSymbol, '_`{_`}, 'Qid 'ParameterDeclList, 'Header) 
    op-hook('parameterDeclSymbol, '_::_, 'Sort 'ModuleExpression,
    'ParameterDecl) 
    op-hook('parameterDeclListSymbol, '_`,_, 'ParameterDeclList
    'ParameterDeclList, 'ParameterDeclList) 
    op-hook('protectingSymbol, 'protecting_., 'ModuleExpression, 'Import) 
    op-hook('extendingSymbol, 'extending_., 'ModuleExpression, 'Import) 
    op-hook('includingSymbol, 'including_., 'ModuleExpression, 'Import) 
    op-hook('generatedBySymbol, 'generated-by_., 'ModuleExpression, 'Import) 
    op-hook('nilImportListSymbol, 'nil, nil, 'ImportList) 
    op-hook('importListSymbol, '__, 'ImportList 'ImportList, 'ImportList) 
    op-hook('emptySortSetSymbol, 'none, nil, 'QidSet) 
    op-hook('sortSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('subsortSymbol, 'subsort_<_., 'Sort 'Sort, 'SubsortDecl) 
    op-hook('emptySubsortDeclSetSymbol, 'none, nil, 'SubsortDeclSet) 
    op-hook('subsortDeclSetSymbol, '__, 'SubsortDeclSet 'SubsortDeclSet,
    'SubsortDeclSet) 
    op-hook('nilQidListSymbol, 'nil, nil, 'QidList) 
    op-hook('qidListSymbol, '__, 'QidList 'QidList, 'QidList) 
    op-hook('emptyQidSetSymbol, 'none, nil, 'QidSet) 
    op-hook('qidSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    op-hook('natListSymbol, '__, 'NatList 'NatList, 'NatList) 
    op-hook('unboundedSymbol, 'unbounded, nil, 'Bound) 
    op-hook('noParentSymbol, 'none, nil, 'Parent) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('sortRenamingSymbol, 'sort_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('opRenamingSymbol, 'op_to_`[_`], 'Qid 'Qid 'AttrSet, 'Renaming) 
    op-hook('opRenamingSymbol2, 'op_:_->_to_`[_`], 'Qid 'TypeList 'Type 'Qid
    'AttrSet, 'Renaming) 
    op-hook('labelRenamingSymbol, 'label_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol, 'strat_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol2, 'strat_:_@_to_, 'Qid 'TypeList 'Type 'Qid,
    'Renaming) 
    op-hook('renamingSetSymbol, '_`,_, 'RenamingSet 'RenamingSet, 'RenamingSet)
    
    op-hook('sumSymbol, '_+_, 'ModuleExpression 'ModuleExpression,
    'ModuleExpression) 
    op-hook('renamingSymbol, '_*`(_`), 'ModuleExpression 'RenamingSet,
    'ModuleExpression) 
    op-hook('instantiationSymbol, '_`{_`}, 'Expression 'NeParameterList,
    'Expression) 
    op-hook('termHookSymbol, 'term-hook, 'Qid 'Term, 'Hook) 
    op-hook('hookListSymbol, '__, 'HookList 'HookList, 'HookList) 
    op-hook('idHookSymbol, 'id-hook, 'Qid 'QidList, 'Hook) 
    op-hook('opHookSymbol, 'op-hook, 'Qid 'Qid 'QidList 'Qid, 'Hook) 
    op-hook('assocSymbol, 'assoc, nil, 'Attr) 
    op-hook('commSymbol, 'comm, nil, 'Attr) 
    op-hook('idemSymbol, 'idem, nil, 'Attr) 
    op-hook('iterSymbol, 'iter, nil, 'Attr) 
    op-hook('idSymbol, 'id, 'Term, 'Attr) 
    op-hook('leftIdSymbol, 'left-id, 'Term, 'Attr) 
    op-hook('rightIdSymbol, 'right-id, 'Term, 'Attr) 
    op-hook('stratSymbol, 'strat, 'NeNatList, 'Attr) 
    op-hook('memoSymbol, 'memo, nil, 'Attr) 
    op-hook('precSymbol, 'prec, 'Nat, 'Attr) 
    op-hook('gatherSymbol, 'gather, 'QidList, 'Attr) 
    op-hook('formatSymbol, 'format, 'QidList, 'Attr) 
    op-hook('latexSymbol, 'latex, 'String, 'Attr) 
    op-hook('ctorSymbol, 'ctor, nil, 'Attr) 
    op-hook('frozenSymbol, 'frozen, 'NeNatList, 'Attr) 
    op-hook('polySymbol, 'poly, 'NeNatList, 'Attr) 
    op-hook('configSymbol, 'config, nil, 'Attr) 
    op-hook('objectSymbol, 'object, nil, 'Attr) 
    op-hook('msgSymbol, 'msg, nil, 'Attr) 
    op-hook('portalSymbol, 'portal, nil, 'Attr) 
    op-hook('pconstSymbol, 'pconst, nil, 'Attr) 
    op-hook('specialSymbol, 'special, 'NeHookList, 'Attr) 
    op-hook('labelSymbol, 'label, 'Qid, 'Attr) 
    op-hook('metadataSymbol, 'metadata, 'String, 'Attr) 
    op-hook('owiseSymbol, 'owise, nil, 'Attr) 
    op-hook('variantAttrSymbol, 'variant, nil, 'Attr) 
    op-hook('narrowingSymbol, 'narrowing, nil, 'Attr) 
    op-hook('nonexecSymbol, 'nonexec, nil, 'Attr) 
    op-hook('printSymbol, 'print, 'QidList, 'Attr) 
    op-hook('emptyAttrSetSymbol, 'none, nil, 'AttrSet) 
    op-hook('attrSetSymbol, '__, 'AttrSet 'AttrSet, 'AttrSet) 
    op-hook('opDeclSymbol, 'op_:_->_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'OpDecl) 
    op-hook('opDeclSetSymbol, '__, 'OpDeclSet 'OpDeclSet, 'OpDeclSet) 
    op-hook('emptyOpDeclSetSymbol, 'none, nil, 'OpDeclSet) 
    op-hook('mbSymbol, 'mb_:_`[_`]., 'Term 'Sort 'AttrSet, 'MembAx) 
    op-hook('cmbSymbol, 'cmb_:_if_`[_`]., 'Term 'Sort 'EqCondition 'AttrSet,
    'MembAx) 
    op-hook('emptyMembAxSetSymbol, 'none, nil, 'MembAxSet) 
    op-hook('membAxSetSymbol, '__, 'MembAxSet 'MembAxSet, 'MembAxSet) 
    op-hook('eqSymbol, 'eq_=_`[_`]., 'Term 'Term 'AttrSet, 'Equation) 
    op-hook('ceqSymbol, 'ceq_=_if_`[_`]., 'Term 'Term 'EqCondition 'AttrSet,
    'Equation) 
    op-hook('emptyEquationSetSymbol, 'none, nil, 'EquationSet) 
    op-hook('equationSetSymbol, '__, 'EquationSet 'EquationSet, 'EquationSet) 
    op-hook('rlSymbol, 'rl_=>_`[_`]., 'Term 'Term 'AttrSet, 'Rule) 
    op-hook('crlSymbol, 'crl_=>_if_`[_`]., 'Term 'Term 'Condition 'AttrSet,
    'Rule) 
    op-hook('emptyRuleSetSymbol, 'none, nil, 'RuleSet) 
    op-hook('ruleSetSymbol, '__, 'RuleSet 'RuleSet, 'RuleSet) 
    op-hook('stratDeclSymbol, 'strat_:_@_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'StratDecl) 
    op-hook('emptyStratDeclSetSymbol, 'none, nil, 'StratDeclSet) 
    op-hook('stratDeclSetSymbol, '__, 'StratDeclSet 'StratDeclSet,
    'StratDeclSet) 
    op-hook('sdSymbol, 'sd_:=_`[_`]., 'CallStrategy 'Strategy 'AttrSet,
    'StratDefinition) 
    op-hook('csdSymbol, 'csd_:=_if_`[_`]., 'CallStrategy 'Strategy 'EqCondition
    'AttrSet, 'StratDefinition) 
    op-hook('emptyStratDefSetSymbol, 'none, nil, 'StratDefSet) 
    op-hook('stratDefSetSymbol, '__, 'StratDefSet 'StratDefSet, 'StratDefSet) 
    op-hook('fmodSymbol, 'fmod_is_sorts_.____endfm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FModule) 
    op-hook('fthSymbol, 'fth_is_sorts_.____endfth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FTheory) 
    op-hook('modSymbol, 'mod_is_sorts_._____endm, 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'SModule) 
    op-hook('thSymbol, 'th_is_sorts_._____endth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'STheory) 
    op-hook('smodSymbol, 'smod_is_sorts_._______endsm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratModule) 
    op-hook('sthSymbol, 'sth_is_sorts_._______endsth, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratTheory) 
    op-hook('sortMappingSymbol, 'sort_to_., 'Sort 'Sort, 'SortMapping) 
    op-hook('emptySortMappingSetSymbol, 'none, nil, 'SortMappingSet) 
    op-hook('sortMappingSetSymbol, '__, 'SortMappingSet 'SortMappingSet,
    'SortMappingSet) 
    op-hook('opMappingSymbol, 'op_to_., 'Qid 'Qid, 'OpMapping) 
    op-hook('opSpecificMappingSymbol, 'op_:_->_to_., 'Qid 'TypeList 'Type 'Qid,
    'OpMapping) 
    op-hook('opTermMappingSymbol, 'op_to`term_., 'Term 'Term, 'OpMapping) 
    op-hook('emptyOpMappingSetSymbol, 'none, nil, 'OpMappingSet) 
    op-hook('opMappingSetSymbol, '__, 'OpMappingSet 'OpMappingSet,
    'OpMappingSet) 
    op-hook('stratMappingSymbol, 'strat_to_., 'Qid 'Qid, 'StratMapping) 
    op-hook('stratSpecificMappingSymbol, 'strat_:_@_to_., 'Qid 'TypeList 'Type
    'Qid, 'StratMapping) 
    op-hook('stratExprMappingSymbol, 'strat_to`expr_., 'CallStrategy 'Strategy,
    'StratMapping) 
    op-hook('emptyStratMappingSetSymbol, 'none, nil, 'StratMappingSet) 
    op-hook('stratMappingSetSymbol, '__, 'StratMappingSet 'StratMappingSet,
    'StratMappingSet) 
    op-hook('viewSymbol, 'view_from_to_is___endv, 'Header 'ModuleExpression
    'ModuleExpression 'SortMappingSet 'OpMappingSet 'StratMappingSet, 'View) 
    op-hook('anyTypeSymbol, 'anyType, nil, 'Type?) 
    op-hook('unificandPairSymbol, '_=?_, 'Term 'Term, 'UnificandPair) 
    op-hook('unificationConjunctionSymbol, '_/\_, 'UnificationProblem
    'UnificationProblem, 'UnificationProblem) 
    op-hook('patternSubjectPairSymbol, '_<=?_, 'Term 'Term,
    'PatternSubjectPair) 
    op-hook('matchingConjunctionSymbol, '_/\_, 'MatchingProblem
    'MatchingProblem, 'MatchingProblem) 
    op-hook('resultPairSymbol, '`{_`,_`}, 'Term 'Type, 'ResultPair) 
    op-hook('resultTripleSymbol, '`{_`,_`,_`}, 'Term 'Type 'Substitution,
    'ResultTriple) 
    op-hook('result4TupleSymbol, '`{_`,_`,_`,_`}, 'Term 'Type 'Substitution
    'Context, 'Result4Tuple) 
    op-hook('matchPairSymbol, '`{_`,_`}, 'Substitution 'Context, 'MatchPair) 
    op-hook('unificationTripleSymbol, '`{_`,_`,_`}, 'Substitution 'Substitution
    'Qid, 'UnificationTriple) 
    op-hook('variantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Qid
    'Parent 'Bool, 'Variant) 
    op-hook('narrowingApplyResultSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Context 'Qid 'Substitution 'Substitution 'Qid, 'NarrowingApplyResult) 
    op-hook('narrowingSearchResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Substitution 'Qid 'Substitution 'Qid, 'NarrowingSearchResult) 
    op-hook('traceStepSymbol, '`{_`,_`,_`}, 'Term 'Type 'Rule, 'TraceStep) 
    op-hook('nilTraceSymbol, 'nil, nil, 'Trace) 
    op-hook('traceSymbol, '__, 'Trace 'Trace, 'Trace) 
    op-hook('narrowingStepSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Context 'Qid
    'Substitution 'Qid 'Term 'Type 'Substitution, 'NarrowingStep) 
    op-hook('nilNarrowingTraceSymbol, 'nil, nil, 'NarrowingTrace) 
    op-hook('narrowingTraceSymbol, '__, 'NarrowingTrace 'NarrowingTrace,
    'NarrowingTrace) 
    op-hook('narrowingSearchPathResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term
    'Type 'Substitution 'NarrowingTrace 'Substitution 'Qid,
    'NarrowingSearchPathResult) 
    op-hook('smtResultSymbol, '`{_`,_`,_`,_`}, 'Term 'Substitution 'Term 'Nat,
    'SmtResult) 
    op-hook('noParseSymbol, 'noParse, 'Nat, 'ResultPair?) 
    op-hook('ambiguitySymbol, 'ambiguity, 'ResultPair 'ResultPair,
    'ResultPair?) 
    op-hook('failure2Symbol, 'failure, nil, 'ResultPair?) 
    op-hook('failure3Symbol, 'failure, nil, 'ResultTriple?) 
    op-hook('failureIncomplete3Symbol, 'failureIncomplete, nil, 'ResultTriple?)
    
    op-hook('failure4Symbol, 'failure, nil, 'Result4Tuple?) 
    op-hook('noUnifierPairSymbol, 'noUnifier, nil, 'UnificationPair?) 
    op-hook('noUnifierTripleSymbol, 'noUnifier, nil, 'UnificationTriple?) 
    op-hook('noUnifierIncompletePairSymbol, 'noUnifierIncomplete, nil,
    'UnificationPair?) 
    op-hook('noUnifierIncompleteTripleSymbol, 'noUnifierIncomplete, nil,
    'UnificationTriple?) 
    op-hook('noVariantSymbol, 'noVariant, nil, 'Variant?) 
    op-hook('noVariantIncompleteSymbol, 'noVariantIncomplete, nil, 'Variant?) 
    op-hook('narrowingApplyFailureSymbol, 'failure, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingApplyFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingSearchFailureSymbol, 'failure, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchPathFailureSymbol, 'failure, nil,
    'NarrowingSearchPathResult?) 
    op-hook('narrowingSearchPathFailureIncompleteSymbol, 'failureIncomplete,
    nil, 'NarrowingSearchPathResult?) 
    op-hook('noMatchSubstSymbol, 'noMatch, nil, 'Substitution?) 
    op-hook('noMatchIncompleteSubstSymbol, 'noMatchIncomplete, nil,
    'Substitution?) 
    op-hook('noMatchPairSymbol, 'noMatch, nil, 'MatchPair?) 
    op-hook('failureTraceSymbol, 'failure, nil, 'Trace?) 
    op-hook('smtFailureSymbol, 'failure, nil, 'SmtResult?) 
    op-hook('noStratParseSymbol, 'noStratParse, 'Nat, 'Strategy?) 
    op-hook('stratAmbiguitySymbol, 'ambiguity, 'Strategy 'Strategy, 'Strategy?)
    
    op-hook('mixfixSymbol, 'mixfix, nil, 'PrintOption) 
    op-hook('withParensSymbol, 'with-parens, nil, 'PrintOption) 
    op-hook('withSortsSymbol, 'with-sorts, nil, 'PrintOption) 
    op-hook('flatSymbol, 'flat, nil, 'PrintOption) 
    op-hook('formatPrintOptionSymbol, 'format, nil, 'PrintOption) 
    op-hook('numberSymbol, 'number, nil, 'PrintOption) 
    op-hook('ratSymbol, 'rat, nil, 'PrintOption) 
    op-hook('emptyPrintOptionSetSymbol, 'none, nil, 'PrintOptionSet) 
    op-hook('printOptionSetSymbol, '__, 'PrintOptionSet 'PrintOptionSet,
    'PrintOptionSet) 
    op-hook('delaySymbol, 'delay, nil, 'VariantOption) 
    op-hook('filterSymbol, 'filter, nil, 'VariantOption) 
    op-hook('emptyVariantOptionSetSymbol, 'none, nil, 'VariantOptionSet) 
    op-hook('variantOptionSetSymbol, '__, 'VariantOptionSet 'VariantOptionSet,
    'VariantOptionSet) 
    op-hook('breadthFirstSymbol, 'breadthFirst, nil, 'SrewriteOption) 
    op-hook('depthFirstSymbol, 'depthFirst, nil, 'SrewriteOption) 
    op-hook('legacyUnificationPairSymbol, '`{_`,_`}, 'Substitution 'Nat,
    'UnificationPair) 
    op-hook('legacyUnificationTripleSymbol, '`{_`,_`,_`}, 'Substitution
    'Substitution 'Nat, 'UnificationTriple) 
    op-hook('legacyVariantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Nat
    'Parent 'Bool, 'Variant) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op 'metaRewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaRewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSearchPath : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Trace?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSmtSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[SmtResult?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSmtSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[StrategyList`,Strategy?`]
    '`[SrewriteOption`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`]
    [none] .
op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantMatch : '`[Module`] '`[MatchingProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [none] .
op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaXapply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Result4Tuple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXapply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaXmatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXmatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metadata : 'String -> 'Attr [ctor] .
op 'min : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'min : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'minimalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMinimalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'mixfix : nil -> 'PrintOption [ctor] .
op 'modExp : '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[FindResult`,NatList`,Bound`,Parent`] [special(
    id-hook('NumberOpSymbol, 'modExp) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'mod_is_sorts_._____endm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet -> 'SModule [ctor gather('& '&
    '& '& '& '& '& '&) format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni
    'n--i 'd)] .
op 'msg : nil -> 'Attr [ctor] .
op 'narrowing : nil -> 'Attr [ctor] .
op 'nil : nil -> 'EqCondition [ctor] .
op 'nil : nil -> 'HookList [ctor] .
op 'nil : nil -> 'ImportList [ctor] .
op 'nil : nil -> 'NarrowingTrace [ctor] .
op 'nil : nil -> 'NatList [ctor] .
op 'nil : nil -> 'ParameterDeclList [ctor] .
op 'nil : nil -> 'QidList [ctor] .
op 'nil : nil -> 'Trace [ctor] .
op 'nil : nil -> 'TypeList [ctor] .
op 'noMatch : nil -> 'MatchPair? [ctor] .
op 'noMatch : nil -> 'Substitution? [ctor] .
op 'noMatchIncomplete : nil -> 'Substitution? [ctor] .
op 'noParse : 'Nat -> 'ResultPair? [ctor] .
op 'noStratParse : 'Nat -> 'Strategy? [ctor] .
op 'noUnifier : nil -> 'UnificationPair? [ctor] .
op 'noUnifier : nil -> 'UnificationTriple? [ctor] .
op 'noUnifierIncomplete : nil -> 'UnificationPair? [ctor] .
op 'noUnifierIncomplete : nil -> 'UnificationTriple? [ctor] .
op 'noVariant : nil -> 'Variant? [ctor] .
op 'noVariantIncomplete : nil -> 'Variant? [ctor] .
op 'none : nil -> 'AttrSet [ctor] .
op 'none : nil -> 'EmptyQidSet [ctor] .
op 'none : nil -> 'EquationSet [ctor] .
op 'none : nil -> 'MembAxSet [ctor] .
op 'none : nil -> 'OpDeclSet [ctor] .
op 'none : nil -> 'OpMappingSet [ctor] .
op 'none : nil -> 'Parent [none] .
op 'none : nil -> 'PrintOptionSet [ctor] .
op 'none : nil -> 'QidSet [ctor] .
op 'none : nil -> 'RuleSet [ctor] .
op 'none : nil -> 'SortMappingSet [ctor] .
op 'none : nil -> 'StratDeclSet [ctor] .
op 'none : nil -> 'StratDefSet [ctor] .
op 'none : nil -> 'StratMappingSet [ctor] .
op 'none : nil -> 'SubsortDeclSet [ctor] .
op 'none : nil -> 'Substitution [ctor] .
op 'none : nil -> 'VariantOptionSet [ctor] .
op 'nonexec : nil -> 'Attr [ctor] .
op 'not : 'Strategy -> 'Strategy [ctor] .
op 'notFound : nil -> 'FindResult [ctor] .
op 'not_ : 'Bool -> 'Bool [prec(53)] .
op 'number : nil -> 'PrintOption [ctor] .
op 'object : nil -> 'Attr [ctor] .
op 'occurs : 'Nat 'NatList -> 'Bool [none] .
op 'occurs : 'Qid 'QidList -> 'Bool [none] .
op 'one : 'Strategy -> 'Strategy [ctor] .
op 'op-hook : 'Qid 'Qid 'QidList 'Qid -> 'Hook [ctor format('nssss 'd)] .
op 'op_:_->_`[_`]. : 'Qid 'TypeList 'Type 'AttrSet -> 'OpDecl [ctor format('d
    'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
op 'op_:_->_to_. : 'Qid 'TypeList 'Type 'Qid -> 'OpMapping [ctor] .
op 'op_:_->_to_`[_`] : 'Qid 'TypeList 'Type 'Qid 'AttrSet -> 'Renaming [ctor
    format('d 'd 'd 'd 'd 'd 'd 'd 's 'd 'd 'd)] .
op 'op_to_. : 'Qid 'Qid -> 'OpMapping [ctor] .
op 'op_to_`[_`] : 'Qid 'Qid 'AttrSet -> 'Renaming [ctor format('d 'd 'd 'd 's
    'd 'd 'd)] .
op 'op_to`term_. : 'Term 'Term -> 'OpMapping [ctor] .
op 'owise : nil -> 'Attr [ctor] .
op 'pconst : nil -> 'Attr [ctor] .
op 'poly : 'NeNatList -> 'Attr [ctor] .
op 'portal : nil -> 'Attr [ctor] .
op 'prec : 'Nat -> 'Attr [ctor] .
op 'print : 'QidList -> 'Attr [ctor] .
op 'protecting_. : 'ModuleExpression -> 'Import [ctor] .
op 'qid : '`[String`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('QuotedIdentifierOpSymbol, 'qid) 
    op-hook('quotedIdentifierSymbol, '<Qids>, nil, 'Qid) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
op 'rat : nil -> 'PrintOption [ctor] .
op 'reverse : 'NatList -> 'NatList [none] .
op 'reverse : 'NeNatList -> 'NeNatList [none] .
op 'reverse : 'NeQidList -> 'NeQidList [none] .
op 'reverse : 'QidList -> 'QidList [none] .
op 'rfind : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'rfind) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
op 'right-id : 'Term -> 'Attr [ctor] .
op 'rl_=>_`[_`]. : 'Term 'Term 'AttrSet -> 'Rule [ctor format('d 'd 'd 'd 's 'd
    'd 's 'd)] .
op 's_ : 'Nat -> 'NzNat [iter ctor special(
    id-hook('SuccSymbol, nil) 
    term-hook('zeroTerm, '0.Zero))] .
op 'sameKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSameKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'sd : 'Nat 'Nat -> 'Nat [comm special(
    id-hook('CUI_NumberOpSymbol, 'sd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'sd_:=_`[_`]. : 'CallStrategy 'Strategy 'AttrSet -> 'StratDefinition [ctor
    format('d 'd 'd 'd 's 'd 'd 's 'd)] .
op 'size : 'NatList -> 'Nat [none] .
op 'size : 'NeNatList -> 'NzNat [none] .
op 'size : 'NeQidList -> 'NzNat [none] .
op 'size : 'QidList -> 'Nat [none] .
op 'smod_is_sorts_._______endsm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet 'StratDeclSet 'StratDefSet ->
    'StratModule [ctor gather('& '& '& '& '& '& '& '& '& '&) format('d 'd 's
    'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni 'ni 'ni 'n--i 'd)] .
op 'sortLeq : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSortLeq) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'sort_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
op 'sort_to_. : 'Sort 'Sort -> 'SortMapping [ctor] .
op 'special : 'NeHookList -> 'Attr [ctor] .
op 'sth_is_sorts_._______endsth : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet 'StratDeclSet 'StratDefSet ->
    'StratTheory [ctor gather('& '& '& '& '& '& '& '& '& '&) format('d 'd 's
    'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni 'ni 'ni 'n--i 'd)] .
op 'strat : 'NeNatList -> 'Attr [ctor] .
op 'strat_:_@_`[_`]. : 'Qid 'TypeList 'Type 'AttrSet -> 'StratDecl [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
op 'strat_:_@_to_ : 'Qid 'TypeList 'Type 'Qid -> 'Renaming [ctor] .
op 'strat_:_@_to_. : 'Qid 'TypeList 'Type 'Qid -> 'StratMapping [ctor] .
op 'strat_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
op 'strat_to_. : 'Qid 'Qid -> 'StratMapping [ctor] .
op 'strat_to`expr_. : 'CallStrategy 'Strategy -> 'StratMapping [ctor] .
op 'string : 'Qid -> 'String [special(
    id-hook('QuotedIdentifierOpSymbol, 'string) 
    op-hook('quotedIdentifierSymbol, '<Qids>, nil, 'Qid) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
op 'subsort_<_. : 'Sort 'Sort -> 'SubsortDecl [ctor] .
op 'substr : 'String 'Nat 'Nat -> 'String [special(
    id-hook('StringOpSymbol, 'substr) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
op 'tail : 'NeNatList -> 'NatList [none] .
op 'tail : 'NeQidList -> 'QidList [none] .
op 'term-hook : 'Qid 'Term -> 'Hook [ctor format('nssss 'd)] .
op 'test : 'Strategy -> 'Strategy [ctor] .
op 'th_is_sorts_._____endth : 'Qid 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet -> 'STheory [ctor gather('& '&
    '& '& '& '& '& '&) format('d 'd 'd 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni
    'n--i 'd)] .
op 'top : 'RuleApplication -> 'Strategy [ctor] .
op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
op 'try : 'Strategy -> 'Strategy [ctor] .
op 'unbounded : nil -> 'Bound [ctor] .
op 'union : 'NeQidSet 'QidSet -> 'NeQidSet [none] .
op 'union : 'QidSet 'NeQidSet -> 'NeQidSet [none] .
op 'union : 'QidSet 'QidSet -> 'QidSet [none] .
op 'upEqs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[EquationSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpEqs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upImports : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ImportList`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpImports) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upMbs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[MembAxSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpMbs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upModule : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[Module`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upOpDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[OpDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpOpDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upRls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[RuleSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpRls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upSds : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDefSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upSorts : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upStratDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpStratDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upSubsortDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[SubsortDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSubsortDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upTerm : 'Universal -> 'Term [poly(1) special(
    id-hook('MetaLevelOpSymbol, 'metaUpTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upView : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[View`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpView) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upperCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'upperCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
op 'variant : nil -> 'Attr [ctor] .
op 'view_from_to_is___endv : 'Header 'ModuleExpression 'ModuleExpression
    'SortMappingSet 'OpMappingSet 'StratMappingSet -> 'View [ctor gather('& '&
    '& '& '& '&) format('d 'd 'd 'd 'd 'd 'd 'n++i 'ni 'ni 'n--i 'd)] .
op 'wellFormed : 'Module -> 'Bool [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'wellFormed : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'wellFormed : '`[Module`] '`[Substitution?`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedSubstitution) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'with-parens : nil -> 'PrintOption [ctor] .
op 'with-sorts : nil -> 'PrintOption [ctor] .
op 'xmatch_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
op 'xmatchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor] .
op '|_| : 'NeQidSet -> 'NzNat [none] .
op '|_| : 'QidSet -> 'Nat [none] .
==========================================
reduce in META-LEVEL : upOpDecls('META-LEVEL, false) .
rewrites: 1
result OpDeclSet: op '$applySubstitution : 'NeTermList 'Substitution -> 'Term [
    none] .
op '_/\_ : 'MatchingProblem 'MatchingProblem -> 'MatchingProblem [assoc comm
    ctor prec(73)] .
op '_/\_ : 'UnificationProblem 'UnificationProblem -> 'UnificationProblem [
    assoc comm ctor prec(73)] .
op '_;_ : 'NeVariableSet 'VariableSet -> 'NeVariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_;_ : 'VariableSet 'VariableSet -> 'VariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
op '_<=?_ : 'Term 'Term -> 'PatternSubjectPair [ctor prec(71)] .
op '_=?_ : 'Term 'Term -> 'UnificandPair [ctor prec(71)] .
op '__ : 'NarrowingTrace 'NarrowingTrace -> 'NarrowingTrace [assoc ctor id(
    'nil.NarrowingTrace)] .
op '__ : 'PrintOptionSet 'PrintOptionSet -> 'PrintOptionSet [assoc comm ctor
    id('none.PrintOptionSet)] .
op '__ : 'Trace 'Trace -> 'Trace [assoc ctor id('nil.Trace) format('d 'n 'd)] .
op '__ : 'VariantOptionSet 'VariantOptionSet -> 'VariantOptionSet [assoc comm
    ctor id('none.VariantOptionSet)] .
op '`{_`,_`,_`,_`,_`,_`,_`} : 'Context 'Qid 'Substitution 'Qid 'Term 'Type
    'Substitution -> 'NarrowingStep [ctor format('ni 'n++i 'd 'ni 'd 's 'd 'ni
    'd 'ni 'd 's 'd 's 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Context 'Qid 'Substitution
    'Substitution 'Qid -> 'NarrowingApplyResult [ctor format('d 'n++i 'd 's 'd
    'ni 'd 'ni 'd 's 'd 's 'd 'ni 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'NarrowingTrace
    'Substitution 'Qid -> 'NarrowingSearchPathResult [ctor format('d 'n++i 'd
    's 'd 's 'd 's 'd 's 'd 'ni 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Qid 'Substitution 'Qid ->
    'NarrowingSearchResult [ctor format('d 'n++i 'd 's 'd 's 'd 'ni 'd 's 'd
    'ni 'n--i 'd)] .
op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Nat 'Parent 'Bool -> 'Variant [
    ctor] .
op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Qid 'Parent 'Bool -> 'Variant [
    ctor] .
op '`{_`,_`,_`,_`} : 'Term 'Substitution 'Term 'Nat -> 'SmtResult [ctor] .
op '`{_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Context -> 'Result4Tuple [ctor]
    .
op '`{_`,_`,_`} : 'Substitution 'Substitution 'Nat -> 'UnificationTriple [ctor]
    .
op '`{_`,_`,_`} : 'Substitution 'Substitution 'Qid -> 'UnificationTriple [ctor]
    .
op '`{_`,_`,_`} : 'Term 'Type 'Rule -> 'TraceStep [ctor] .
op '`{_`,_`,_`} : 'Term 'Type 'Substitution -> 'ResultTriple [ctor] .
op '`{_`,_`} : 'Substitution 'Context -> 'MatchPair [ctor] .
op '`{_`,_`} : 'Substitution 'Nat -> 'UnificationPair [ctor] .
op '`{_`,_`} : 'Substitution 'Qid -> 'UnificationPair [ctor] .
op '`{_`,_`} : 'Term 'Type -> 'ResultPair [ctor] .
op 'ambiguity : 'ResultPair 'ResultPair -> 'ResultPair? [ctor] .
op 'ambiguity : 'Strategy 'Strategy -> 'Strategy? [ctor] .
op 'anyType : nil -> 'Type? [ctor] .
op 'applySubstitution : 'Module 'Term 'Substitution -> 'Term [none] .
op 'breadthFirst : nil -> 'SrewriteOption [ctor] .
op 'completeName : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCompleteName) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'delay : nil -> 'VariantOption [ctor] .
op 'depthFirst : nil -> 'SrewriteOption [ctor] .
op 'downTerm : 'Term 'Universal -> 'Universal [poly(2 0) special(
    id-hook('MetaLevelOpSymbol, 'metaDownTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'failure : nil -> 'NarrowingApplyResult? [ctor] .
op 'failure : nil -> 'NarrowingSearchPathResult? [ctor] .
op 'failure : nil -> 'NarrowingSearchResult? [ctor] .
op 'failure : nil -> 'Result4Tuple? [ctor] .
op 'failure : nil -> 'ResultPair? [ctor] .
op 'failure : nil -> 'ResultTriple? [ctor] .
op 'failure : nil -> 'SmtResult? [ctor] .
op 'failure : nil -> 'Trace? [ctor] .
op 'failureIncomplete : nil -> 'NarrowingApplyResult? [ctor] .
op 'failureIncomplete : nil -> 'NarrowingSearchPathResult? [ctor] .
op 'failureIncomplete : nil -> 'NarrowingSearchResult? [ctor] .
op 'failureIncomplete : nil -> 'ResultTriple? [ctor] .
op 'filter : nil -> 'VariantOption [ctor] .
op 'flat : nil -> 'PrintOption [ctor] .
op 'format : nil -> 'PrintOption [ctor] .
op 'getAccumulatedSubstitution : 'NarrowingSearchResult -> 'Substitution [none]
    .
op 'getAccumulatedSubstitution : 'NarrowingStep -> 'Substitution [none] .
op 'getContext : 'MatchPair -> 'Context [none] .
op 'getContext : 'NarrowingApplyResult -> 'Context [none] .
op 'getContext : 'NarrowingStep -> 'Context [none] .
op 'getContext : 'Result4Tuple -> 'Context [none] .
op 'getInitialSubstitution : 'NarrowingSearchPathResult -> 'Substitution [none]
    .
op 'getInitialTerm : 'NarrowingSearchPathResult -> 'Term [none] .
op 'getInitialType : 'NarrowingSearchPathResult -> 'Type [none] .
op 'getKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'getKinds : '`[Module`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKinds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'getLabel : 'NarrowingApplyResult -> 'Qid [none] .
op 'getLabel : 'NarrowingStep -> 'Qid [none] .
op 'getLhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
op 'getMoreVariantsInLayerFlag : 'Variant -> 'Bool [none] .
op 'getParent : 'Variant -> 'Parent [none] .
op 'getRhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
op 'getRule : 'TraceStep -> 'Rule [none] .
op 'getRuleSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
op 'getStateVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
op 'getSubstitution : 'MatchPair -> 'Substitution [none] .
op 'getSubstitution : 'Result4Tuple -> 'Substitution [none] .
op 'getSubstitution : 'ResultTriple -> 'Substitution [none] .
op 'getSubstitution : 'UnificationPair -> 'Substitution [none] .
op 'getSubstitution : 'Variant -> 'Substitution [none] .
op 'getTerm : 'NarrowingApplyResult -> 'Term [none] .
op 'getTerm : 'NarrowingSearchResult -> 'Term [none] .
op 'getTerm : 'NarrowingStep -> 'Term [none] .
op 'getTerm : 'Result4Tuple -> 'Term [none] .
op 'getTerm : 'ResultPair -> 'Term [none] .
op 'getTerm : 'ResultTriple -> 'Term [none] .
op 'getTerm : 'TraceStep -> 'Term [none] .
op 'getTerm : 'Variant -> 'Term [none] .
op 'getTermSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
op 'getTrace : 'NarrowingSearchPathResult -> 'NarrowingTrace [none] .
op 'getType : 'NarrowingApplyResult -> 'Type [none] .
op 'getType : 'NarrowingSearchResult -> 'Type [none] .
op 'getType : 'NarrowingStep -> 'Type [none] .
op 'getType : 'Result4Tuple -> 'Type [none] .
op 'getType : 'ResultPair -> 'Type [none] .
op 'getType : 'ResultTriple -> 'Type [none] .
op 'getType : 'TraceStep -> 'Type [none] .
op 'getUnifier : 'NarrowingSearchPathResult -> 'Substitution [none] .
op 'getUnifier : 'NarrowingSearchResult -> 'Substitution [none] .
op 'getUnifier : 'NarrowingStep -> 'Substitution [none] .
op 'getUnifierVariableFamily : 'NarrowingSearchPathResult -> 'Qid [none] .
op 'getUnifierVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
op 'getUnifierVariableFamily : 'NarrowingStep -> 'Qid [none] .
op 'getVariableFamily : 'NarrowingApplyResult -> 'Qid [none] .
op 'getVariableFamily : 'UnificationPair -> 'Qid [none] .
op 'getVariableFamily : 'UnificationTriple -> 'Qid [none] .
op 'getVariableFamily : 'Variant -> 'Qid [none] .
op 'glbSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGlbSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'leastSort : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLeastSort) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'lesserSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLesserSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'maximalAritySet : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalAritySet) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'maximalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaApply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaCheck : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCheck) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaFrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaFrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaIrredundantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaIrredundantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaMatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] '`[Bool`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow2) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'Nat ->
    'NarrowingApplyResult? [none] .
op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'VariantOptionSet 'Nat ->
    'NarrowingApplyResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchResult? [none] .
op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchPathResult? [none] .
op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchPathResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaNormalize : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNormalize) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [
    none] .
op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParse) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaParseStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[StrategyList`,Strategy?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParseStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`]
    -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrint) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaPrettyPrintStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[StrategyList`,Strategy?`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrintStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaPrintToString : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[String`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrintToString) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaReduce : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaReduce) 
    op-hook('qidSymbol, '<Qids>, nil, 'Qid) 
    op-hook('metaTermSymbol, '_`[_`], 'Qid 'NeGroundTermList, 'GroundTerm) 
    op-hook('metaArgSymbol, '_`,_, 'NeGroundTermList 'GroundTermList,
    'NeGroundTermList) 
    op-hook('emptyTermListSymbol, 'empty, nil, 'GroundTermList) 
    op-hook('assignmentSymbol, '_<-_, 'Variable 'Term, 'Assignment) 
    op-hook('emptySubstitutionSymbol, 'none, nil, 'Substitution) 
    op-hook('substitutionSymbol, '_;_, 'Substitution 'Substitution,
    'Substitution) 
    op-hook('holeSymbol, '`[`], nil, 'Context) 
    op-hook('noConditionSymbol, 'nil, nil, 'EqCondition) 
    op-hook('equalityConditionSymbol, '_=_, 'Term 'Term, 'EqCondition) 
    op-hook('sortTestConditionSymbol, '_:_, 'Term 'Sort, 'EqCondition) 
    op-hook('matchConditionSymbol, '_:=_, 'Term 'Term, 'EqCondition) 
    op-hook('rewriteConditionSymbol, '_=>_, 'Term 'Term, 'Condition) 
    op-hook('conjunctionSymbol, '_/\_, 'EqCondition 'EqCondition, 'EqCondition)
    
    op-hook('failStratSymbol, 'fail, nil, 'Strategy) 
    op-hook('idleStratSymbol, 'idle, nil, 'Strategy) 
    op-hook('allStratSymbol, 'all, nil, 'RuleApplication) 
    op-hook('applicationStratSymbol, '_`[_`]`{_`}, 'Qid 'Substitution
    'StrategyList, 'RuleApplication) 
    op-hook('topStratSymbol, 'top, 'RuleApplication, 'Strategy) 
    op-hook('matchStratSymbol, 'match_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('xmatchStratSymbol, 'xmatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('amatchStratSymbol, 'amatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('unionStratSymbol, '_|_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('concatStratSymbol, '_;_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('orelseStratSymbol, '_or-else_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('plusStratSymbol, '_+, 'Strategy, 'Strategy) 
    op-hook('conditionalStratSymbol, '_?_:_, 'Strategy 'Strategy 'Strategy,
    'Strategy) 
    op-hook('matchrewStratSymbol, 'matchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('xmatchrewStratSymbol, 'xmatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('amatchrewStratSymbol, 'amatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('callStratSymbol, '_`[`[_`]`], 'Qid 'TermList, 'CallStrategy) 
    op-hook('oneStratSymbol, 'one, 'Strategy, 'Strategy) 
    op-hook('starStratSymbol, '_*, 'Strategy, 'Strategy) 
    op-hook('normalizationStratSymbol, '_!, 'Strategy, 'Strategy) 
    op-hook('notStratSymbol, 'not, 'Strategy, 'Strategy) 
    op-hook('testStratSymbol, 'test, 'Strategy, 'Strategy) 
    op-hook('tryStratSymbol, 'try, 'Strategy, 'Strategy) 
    op-hook('usingStratSymbol, '_using_, 'Variable 'Strategy, 'UsingPair) 
    op-hook('usingListStratSymbol, '_`,_, 'UsingPairSet 'UsingPairSet,
    'UsingPairSet) 
    op-hook('emptyStratListSymbol, 'empty, nil, 'StrategyList) 
    op-hook('stratListSymbol, '_`,_, 'StrategyList 'StrategyList,
    'StrategyList) 
    op-hook('headerSymbol, '_`{_`}, 'Qid 'ParameterDeclList, 'Header) 
    op-hook('parameterDeclSymbol, '_::_, 'Sort 'ModuleExpression,
    'ParameterDecl) 
    op-hook('parameterDeclListSymbol, '_`,_, 'ParameterDeclList
    'ParameterDeclList, 'ParameterDeclList) 
    op-hook('protectingSymbol, 'protecting_., 'ModuleExpression, 'Import) 
    op-hook('extendingSymbol, 'extending_., 'ModuleExpression, 'Import) 
    op-hook('includingSymbol, 'including_., 'ModuleExpression, 'Import) 
    op-hook('generatedBySymbol, 'generated-by_., 'ModuleExpression, 'Import) 
    op-hook('nilImportListSymbol, 'nil, nil, 'ImportList) 
    op-hook('importListSymbol, '__, 'ImportList 'ImportList, 'ImportList) 
    op-hook('emptySortSetSymbol, 'none, nil, 'QidSet) 
    op-hook('sortSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('subsortSymbol, 'subsort_<_., 'Sort 'Sort, 'SubsortDecl) 
    op-hook('emptySubsortDeclSetSymbol, 'none, nil, 'SubsortDeclSet) 
    op-hook('subsortDeclSetSymbol, '__, 'SubsortDeclSet 'SubsortDeclSet,
    'SubsortDeclSet) 
    op-hook('nilQidListSymbol, 'nil, nil, 'QidList) 
    op-hook('qidListSymbol, '__, 'QidList 'QidList, 'QidList) 
    op-hook('emptyQidSetSymbol, 'none, nil, 'QidSet) 
    op-hook('qidSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    op-hook('natListSymbol, '__, 'NatList 'NatList, 'NatList) 
    op-hook('unboundedSymbol, 'unbounded, nil, 'Bound) 
    op-hook('noParentSymbol, 'none, nil, 'Parent) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('sortRenamingSymbol, 'sort_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('opRenamingSymbol, 'op_to_`[_`], 'Qid 'Qid 'AttrSet, 'Renaming) 
    op-hook('opRenamingSymbol2, 'op_:_->_to_`[_`], 'Qid 'TypeList 'Type 'Qid
    'AttrSet, 'Renaming) 
    op-hook('labelRenamingSymbol, 'label_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol, 'strat_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol2, 'strat_:_@_to_, 'Qid 'TypeList 'Type 'Qid,
    'Renaming) 
    op-hook('renamingSetSymbol, '_`,_, 'RenamingSet 'RenamingSet, 'RenamingSet)
    
    op-hook('sumSymbol, '_+_, 'ModuleExpression 'ModuleExpression,
    'ModuleExpression) 
    op-hook('renamingSymbol, '_*`(_`), 'ModuleExpression 'RenamingSet,
    'ModuleExpression) 
    op-hook('instantiationSymbol, '_`{_`}, 'Expression 'NeParameterList,
    'Expression) 
    op-hook('termHookSymbol, 'term-hook, 'Qid 'Term, 'Hook) 
    op-hook('hookListSymbol, '__, 'HookList 'HookList, 'HookList) 
    op-hook('idHookSymbol, 'id-hook, 'Qid 'QidList, 'Hook) 
    op-hook('opHookSymbol, 'op-hook, 'Qid 'Qid 'QidList 'Qid, 'Hook) 
    op-hook('assocSymbol, 'assoc, nil, 'Attr) 
    op-hook('commSymbol, 'comm, nil, 'Attr) 
    op-hook('idemSymbol, 'idem, nil, 'Attr) 
    op-hook('iterSymbol, 'iter, nil, 'Attr) 
    op-hook('idSymbol, 'id, 'Term, 'Attr) 
    op-hook('leftIdSymbol, 'left-id, 'Term, 'Attr) 
    op-hook('rightIdSymbol, 'right-id, 'Term, 'Attr) 
    op-hook('stratSymbol, 'strat, 'NeNatList, 'Attr) 
    op-hook('memoSymbol, 'memo, nil, 'Attr) 
    op-hook('precSymbol, 'prec, 'Nat, 'Attr) 
    op-hook('gatherSymbol, 'gather, 'QidList, 'Attr) 
    op-hook('formatSymbol, 'format, 'QidList, 'Attr) 
    op-hook('latexSymbol, 'latex, 'String, 'Attr) 
    op-hook('ctorSymbol, 'ctor, nil, 'Attr) 
    op-hook('frozenSymbol, 'frozen, 'NeNatList, 'Attr) 
    op-hook('polySymbol, 'poly, 'NeNatList, 'Attr) 
    op-hook('configSymbol, 'config, nil, 'Attr) 
    op-hook('objectSymbol, 'object, nil, 'Attr) 
    op-hook('msgSymbol, 'msg, nil, 'Attr) 
    op-hook('portalSymbol, 'portal, nil, 'Attr) 
    op-hook('pconstSymbol, 'pconst, nil, 'Attr) 
    op-hook('specialSymbol, 'special, 'NeHookList, 'Attr) 
    op-hook('labelSymbol, 'label, 'Qid, 'Attr) 
    op-hook('metadataSymbol, 'metadata, 'String, 'Attr) 
    op-hook('owiseSymbol, 'owise, nil, 'Attr) 
    op-hook('variantAttrSymbol, 'variant, nil, 'Attr) 
    op-hook('narrowingSymbol, 'narrowing, nil, 'Attr) 
    op-hook('nonexecSymbol, 'nonexec, nil, 'Attr) 
    op-hook('printSymbol, 'print, 'QidList, 'Attr) 
    op-hook('emptyAttrSetSymbol, 'none, nil, 'AttrSet) 
    op-hook('attrSetSymbol, '__, 'AttrSet 'AttrSet, 'AttrSet) 
    op-hook('opDeclSymbol, 'op_:_->_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'OpDecl) 
    op-hook('opDeclSetSymbol, '__, 'OpDeclSet 'OpDeclSet, 'OpDeclSet) 
    op-hook('emptyOpDeclSetSymbol, 'none, nil, 'OpDeclSet) 
    op-hook('mbSymbol, 'mb_:_`[_`]., 'Term 'Sort 'AttrSet, 'MembAx) 
    op-hook('cmbSymbol, 'cmb_:_if_`[_`]., 'Term 'Sort 'EqCondition 'AttrSet,
    'MembAx) 
    op-hook('emptyMembAxSetSymbol, 'none, nil, 'MembAxSet) 
    op-hook('membAxSetSymbol, '__, 'MembAxSet 'MembAxSet, 'MembAxSet) 
    op-hook('eqSymbol, 'eq_=_`[_`]., 'Term 'Term 'AttrSet, 'Equation) 
    op-hook('ceqSymbol, 'ceq_=_if_`[_`]., 'Term 'Term 'EqCondition 'AttrSet,
    'Equation) 
    op-hook('emptyEquationSetSymbol, 'none, nil, 'EquationSet) 
    op-hook('equationSetSymbol, '__, 'EquationSet 'EquationSet, 'EquationSet) 
    op-hook('rlSymbol, 'rl_=>_`[_`]., 'Term 'Term 'AttrSet, 'Rule) 
    op-hook('crlSymbol, 'crl_=>_if_`[_`]., 'Term 'Term 'Condition 'AttrSet,
    'Rule) 
    op-hook('emptyRuleSetSymbol, 'none, nil, 'RuleSet) 
    op-hook('ruleSetSymbol, '__, 'RuleSet 'RuleSet, 'RuleSet) 
    op-hook('stratDeclSymbol, 'strat_:_@_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'StratDecl) 
    op-hook('emptyStratDeclSetSymbol, 'none, nil, 'StratDeclSet) 
    op-hook('stratDeclSetSymbol, '__, 'StratDeclSet 'StratDeclSet,
    'StratDeclSet) 
    op-hook('sdSymbol, 'sd_:=_`[_`]., 'CallStrategy 'Strategy 'AttrSet,
    'StratDefinition) 
    op-hook('csdSymbol, 'csd_:=_if_`[_`]., 'CallStrategy 'Strategy 'EqCondition
    'AttrSet, 'StratDefinition) 
    op-hook('emptyStratDefSetSymbol, 'none, nil, 'StratDefSet) 
    op-hook('stratDefSetSymbol, '__, 'StratDefSet 'StratDefSet, 'StratDefSet) 
    op-hook('fmodSymbol, 'fmod_is_sorts_.____endfm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FModule) 
    op-hook('fthSymbol, 'fth_is_sorts_.____endfth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FTheory) 
    op-hook('modSymbol, 'mod_is_sorts_._____endm, 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'SModule) 
    op-hook('thSymbol, 'th_is_sorts_._____endth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'STheory) 
    op-hook('smodSymbol, 'smod_is_sorts_._______endsm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratModule) 
    op-hook('sthSymbol, 'sth_is_sorts_._______endsth, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratTheory) 
    op-hook('sortMappingSymbol, 'sort_to_., 'Sort 'Sort, 'SortMapping) 
    op-hook('emptySortMappingSetSymbol, 'none, nil, 'SortMappingSet) 
    op-hook('sortMappingSetSymbol, '__, 'SortMappingSet 'SortMappingSet,
    'SortMappingSet) 
    op-hook('opMappingSymbol, 'op_to_., 'Qid 'Qid, 'OpMapping) 
    op-hook('opSpecificMappingSymbol, 'op_:_->_to_., 'Qid 'TypeList 'Type 'Qid,
    'OpMapping) 
    op-hook('opTermMappingSymbol, 'op_to`term_., 'Term 'Term, 'OpMapping) 
    op-hook('emptyOpMappingSetSymbol, 'none, nil, 'OpMappingSet) 
    op-hook('opMappingSetSymbol, '__, 'OpMappingSet 'OpMappingSet,
    'OpMappingSet) 
    op-hook('stratMappingSymbol, 'strat_to_., 'Qid 'Qid, 'StratMapping) 
    op-hook('stratSpecificMappingSymbol, 'strat_:_@_to_., 'Qid 'TypeList 'Type
    'Qid, 'StratMapping) 
    op-hook('stratExprMappingSymbol, 'strat_to`expr_., 'CallStrategy 'Strategy,
    'StratMapping) 
    op-hook('emptyStratMappingSetSymbol, 'none, nil, 'StratMappingSet) 
    op-hook('stratMappingSetSymbol, '__, 'StratMappingSet 'StratMappingSet,
    'StratMappingSet) 
    op-hook('viewSymbol, 'view_from_to_is___endv, 'Header 'ModuleExpression
    'ModuleExpression 'SortMappingSet 'OpMappingSet 'StratMappingSet, 'View) 
    op-hook('anyTypeSymbol, 'anyType, nil, 'Type?) 
    op-hook('unificandPairSymbol, '_=?_, 'Term 'Term, 'UnificandPair) 
    op-hook('unificationConjunctionSymbol, '_/\_, 'UnificationProblem
    'UnificationProblem, 'UnificationProblem) 
    op-hook('patternSubjectPairSymbol, '_<=?_, 'Term 'Term,
    'PatternSubjectPair) 
    op-hook('matchingConjunctionSymbol, '_/\_, 'MatchingProblem
    'MatchingProblem, 'MatchingProblem) 
    op-hook('resultPairSymbol, '`{_`,_`}, 'Term 'Type, 'ResultPair) 
    op-hook('resultTripleSymbol, '`{_`,_`,_`}, 'Term 'Type 'Substitution,
    'ResultTriple) 
    op-hook('result4TupleSymbol, '`{_`,_`,_`,_`}, 'Term 'Type 'Substitution
    'Context, 'Result4Tuple) 
    op-hook('matchPairSymbol, '`{_`,_`}, 'Substitution 'Context, 'MatchPair) 
    op-hook('unificationTripleSymbol, '`{_`,_`,_`}, 'Substitution 'Substitution
    'Qid, 'UnificationTriple) 
    op-hook('variantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Qid
    'Parent 'Bool, 'Variant) 
    op-hook('narrowingApplyResultSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Context 'Qid 'Substitution 'Substitution 'Qid, 'NarrowingApplyResult) 
    op-hook('narrowingSearchResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Substitution 'Qid 'Substitution 'Qid, 'NarrowingSearchResult) 
    op-hook('traceStepSymbol, '`{_`,_`,_`}, 'Term 'Type 'Rule, 'TraceStep) 
    op-hook('nilTraceSymbol, 'nil, nil, 'Trace) 
    op-hook('traceSymbol, '__, 'Trace 'Trace, 'Trace) 
    op-hook('narrowingStepSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Context 'Qid
    'Substitution 'Qid 'Term 'Type 'Substitution, 'NarrowingStep) 
    op-hook('nilNarrowingTraceSymbol, 'nil, nil, 'NarrowingTrace) 
    op-hook('narrowingTraceSymbol, '__, 'NarrowingTrace 'NarrowingTrace,
    'NarrowingTrace) 
    op-hook('narrowingSearchPathResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term
    'Type 'Substitution 'NarrowingTrace 'Substitution 'Qid,
    'NarrowingSearchPathResult) 
    op-hook('smtResultSymbol, '`{_`,_`,_`,_`}, 'Term 'Substitution 'Term 'Nat,
    'SmtResult) 
    op-hook('noParseSymbol, 'noParse, 'Nat, 'ResultPair?) 
    op-hook('ambiguitySymbol, 'ambiguity, 'ResultPair 'ResultPair,
    'ResultPair?) 
    op-hook('failure2Symbol, 'failure, nil, 'ResultPair?) 
    op-hook('failure3Symbol, 'failure, nil, 'ResultTriple?) 
    op-hook('failureIncomplete3Symbol, 'failureIncomplete, nil, 'ResultTriple?)
    
    op-hook('failure4Symbol, 'failure, nil, 'Result4Tuple?) 
    op-hook('noUnifierPairSymbol, 'noUnifier, nil, 'UnificationPair?) 
    op-hook('noUnifierTripleSymbol, 'noUnifier, nil, 'UnificationTriple?) 
    op-hook('noUnifierIncompletePairSymbol, 'noUnifierIncomplete, nil,
    'UnificationPair?) 
    op-hook('noUnifierIncompleteTripleSymbol, 'noUnifierIncomplete, nil,
    'UnificationTriple?) 
    op-hook('noVariantSymbol, 'noVariant, nil, 'Variant?) 
    op-hook('noVariantIncompleteSymbol, 'noVariantIncomplete, nil, 'Variant?) 
    op-hook('narrowingApplyFailureSymbol, 'failure, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingApplyFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingSearchFailureSymbol, 'failure, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchPathFailureSymbol, 'failure, nil,
    'NarrowingSearchPathResult?) 
    op-hook('narrowingSearchPathFailureIncompleteSymbol, 'failureIncomplete,
    nil, 'NarrowingSearchPathResult?) 
    op-hook('noMatchSubstSymbol, 'noMatch, nil, 'Substitution?) 
    op-hook('noMatchIncompleteSubstSymbol, 'noMatchIncomplete, nil,
    'Substitution?) 
    op-hook('noMatchPairSymbol, 'noMatch, nil, 'MatchPair?) 
    op-hook('failureTraceSymbol, 'failure, nil, 'Trace?) 
    op-hook('smtFailureSymbol, 'failure, nil, 'SmtResult?) 
    op-hook('noStratParseSymbol, 'noStratParse, 'Nat, 'Strategy?) 
    op-hook('stratAmbiguitySymbol, 'ambiguity, 'Strategy 'Strategy, 'Strategy?)
    
    op-hook('mixfixSymbol, 'mixfix, nil, 'PrintOption) 
    op-hook('withParensSymbol, 'with-parens, nil, 'PrintOption) 
    op-hook('withSortsSymbol, 'with-sorts, nil, 'PrintOption) 
    op-hook('flatSymbol, 'flat, nil, 'PrintOption) 
    op-hook('formatPrintOptionSymbol, 'format, nil, 'PrintOption) 
    op-hook('numberSymbol, 'number, nil, 'PrintOption) 
    op-hook('ratSymbol, 'rat, nil, 'PrintOption) 
    op-hook('emptyPrintOptionSetSymbol, 'none, nil, 'PrintOptionSet) 
    op-hook('printOptionSetSymbol, '__, 'PrintOptionSet 'PrintOptionSet,
    'PrintOptionSet) 
    op-hook('delaySymbol, 'delay, nil, 'VariantOption) 
    op-hook('filterSymbol, 'filter, nil, 'VariantOption) 
    op-hook('emptyVariantOptionSetSymbol, 'none, nil, 'VariantOptionSet) 
    op-hook('variantOptionSetSymbol, '__, 'VariantOptionSet 'VariantOptionSet,
    'VariantOptionSet) 
    op-hook('breadthFirstSymbol, 'breadthFirst, nil, 'SrewriteOption) 
    op-hook('depthFirstSymbol, 'depthFirst, nil, 'SrewriteOption) 
    op-hook('legacyUnificationPairSymbol, '`{_`,_`}, 'Substitution 'Nat,
    'UnificationPair) 
    op-hook('legacyUnificationTripleSymbol, '`{_`,_`,_`}, 'Substitution
    'Substitution 'Nat, 'UnificationTriple) 
    op-hook('legacyVariantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Nat
    'Parent 'Bool, 'Variant) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
op 'metaRewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaRewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSearchPath : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Trace?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSmtSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[SmtResult?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSmtSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaSrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[StrategyList`,Strategy?`]
    '`[SrewriteOption`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`]
    [none] .
op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantMatch : '`[Module`] '`[MatchingProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [none] .
op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaXapply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Result4Tuple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXapply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'metaXmatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXmatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'minimalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMinimalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'mixfix : nil -> 'PrintOption [ctor] .
op 'nil : nil -> 'NarrowingTrace [ctor] .
op 'nil : nil -> 'Trace [ctor] .
op 'noMatch : nil -> 'MatchPair? [ctor] .
op 'noMatch : nil -> 'Substitution? [ctor] .
op 'noMatchIncomplete : nil -> 'Substitution? [ctor] .
op 'noParse : 'Nat -> 'ResultPair? [ctor] .
op 'noStratParse : 'Nat -> 'Strategy? [ctor] .
op 'noUnifier : nil -> 'UnificationPair? [ctor] .
op 'noUnifier : nil -> 'UnificationTriple? [ctor] .
op 'noUnifierIncomplete : nil -> 'UnificationPair? [ctor] .
op 'noUnifierIncomplete : nil -> 'UnificationTriple? [ctor] .
op 'noVariant : nil -> 'Variant? [ctor] .
op 'noVariantIncomplete : nil -> 'Variant? [ctor] .
op 'none : nil -> 'Parent [none] .
op 'none : nil -> 'PrintOptionSet [ctor] .
op 'none : nil -> 'VariantOptionSet [ctor] .
op 'number : nil -> 'PrintOption [ctor] .
op 'rat : nil -> 'PrintOption [ctor] .
op 'sameKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSameKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'sortLeq : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSortLeq) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upEqs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[EquationSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpEqs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upImports : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ImportList`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpImports) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upMbs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[MembAxSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpMbs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upModule : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[Module`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upOpDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[OpDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpOpDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upRls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[RuleSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpRls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upSds : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDefSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upSorts : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upStratDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpStratDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upSubsortDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[SubsortDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSubsortDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upTerm : 'Universal -> 'Term [poly(1) special(
    id-hook('MetaLevelOpSymbol, 'metaUpTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'upView : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[View`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpView) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'wellFormed : 'Module -> 'Bool [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'wellFormed : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'wellFormed : '`[Module`] '`[Substitution?`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedSubstitution) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
op 'with-parens : nil -> 'PrintOption [ctor] .
op 'with-sorts : nil -> 'PrintOption [ctor] .
==========================================
reduce in META-LEVEL : upOpDecls('IDENTICAL, true) .
rewrites: 0
result [OpDeclSet]: upOpDecls('IDENTICAL, true)
==========================================
reduce in META-LEVEL : upModule('META-LEVEL, true) .
rewrites: 2
result FModule: fmod 'META-LEVEL is
  nil
  sorts 'Assignment ; 'Attr ; 'AttrSet ; 'Bool ; 'Bound ; 'CallStrategy ; 'Char
    ; 'Condition ; 'Constant ; 'Context ; 'EmptyCommaList ; 'EmptyQidSet ;
    'EqCondition ; 'Equation ; 'EquationSet ; 'Expression ; 'FModule ; 'FTheory
    ; 'FindResult ; 'GTermList ; 'GroundTerm ; 'GroundTermList ; 'Header ;
    'Hook ; 'HookList ; 'Import ; 'ImportList ; 'Kind ; 'KindSet ;
    'MatchOrUnificationPair ; 'MatchPair ; 'MatchPair? ; 'MatchingProblem ;
    'MembAx ; 'MembAxSet ; 'Module ; 'ModuleExpression ; 'NarrowingApplyResult
    ; 'NarrowingApplyResult? ; 'NarrowingSearchPathResult ;
    'NarrowingSearchPathResult? ; 'NarrowingSearchResult ;
    'NarrowingSearchResult? ; 'NarrowingStep ; 'NarrowingTrace ; 'Nat ;
    'NatList ; 'NeCTermList ; 'NeGroundTermList ; 'NeHookList ; 'NeKindSet ;
    'NeNatList ; 'NeParameterDeclList ; 'NeParameterList ; 'NeQidList ;
    'NeQidSet ; 'NeSortSet ; 'NeTermList ; 'NeTypeList ; 'NeTypeSet ;
    'NeVariableSet ; 'NzNat ; 'OpDecl ; 'OpDeclSet ; 'OpMapping ; 'OpMappingSet
    ; 'ParameterDecl ; 'ParameterDeclList ; 'ParameterList ; 'Parent ;
    'PatternSubjectPair ; 'PrintOption ; 'PrintOptionSet ; 'Qid ; 'QidList ;
    'QidSet ; 'Renaming ; 'RenamingSet ; 'Result4Tuple ; 'Result4Tuple? ;
    'ResultPair ; 'ResultPair? ; 'ResultTriple ; 'ResultTriple? ; 'Rule ;
    'RuleApplication ; 'RuleSet ; 'SModule ; 'STheory ; 'SmtResult ;
    'SmtResult? ; 'Sort ; 'SortMapping ; 'SortMappingSet ; 'SortSet ;
    'SrewriteOption ; 'StratDecl ; 'StratDeclSet ; 'StratDefSet ;
    'StratDefinition ; 'StratMapping ; 'StratMappingSet ; 'StratModule ;
    'StratTheory ; 'Strategy ; 'Strategy? ; 'StrategyList ; 'String ;
    'SubsortDecl ; 'SubsortDeclSet ; 'Substitution ; 'Substitution? ; 'Term ;
    'TermList ; 'TermQid ; 'Trace ; 'Trace? ; 'TraceStep ; 'Type ; 'Type? ;
    'TypeList ; 'TypeListSet ; 'TypeSet ; 'UnificandPair ; 'UnificationPair ;
    'UnificationPair? ; 'UnificationProblem ; 'UnificationTriple ;
    'UnificationTriple? ; 'UsingPair ; 'UsingPairSet ; 'Variable ; 'VariableSet
    ; 'Variant ; 'Variant? ; 'VariantOption ; 'VariantOptionSet ; 'View ;
    'ViewExpression ; 'Zero .
  subsort 'Assignment < 'Substitution .
  subsort 'Attr < 'AttrSet .
  subsort 'CallStrategy < 'Strategy .
  subsort 'Char < 'String .
  subsort 'Constant < 'GroundTerm .
  subsort 'Constant < 'TermQid .
  subsort 'Context < 'NeCTermList .
  subsort 'EmptyCommaList < 'GroundTermList .
  subsort 'EmptyCommaList < 'ParameterList .
  subsort 'EmptyQidSet < 'KindSet .
  subsort 'EmptyQidSet < 'SortSet .
  subsort 'EmptyQidSet < 'VariableSet .
  subsort 'EqCondition < 'Condition .
  subsort 'Equation < 'EquationSet .
  subsort 'Expression < 'ModuleExpression .
  subsort 'Expression < 'ViewExpression .
  subsort 'FModule < 'SModule .
  subsort 'FTheory < 'STheory .
  subsort 'GroundTerm < 'NeGroundTermList .
  subsort 'GroundTerm < 'Term .
  subsort 'GroundTermList < 'TermList .
  subsort 'Hook < 'NeHookList .
  subsort 'Import < 'ImportList .
  subsort 'Kind < 'NeKindSet .
  subsort 'Kind < 'Type .
  subsort 'KindSet < 'TypeSet .
  subsort 'MatchPair < 'MatchOrUnificationPair .
  subsort 'MatchPair < 'MatchPair? .
  subsort 'MembAx < 'MembAxSet .
  subsort 'NarrowingApplyResult < 'NarrowingApplyResult? .
  subsort 'NarrowingSearchPathResult < 'NarrowingSearchPathResult? .
  subsort 'NarrowingSearchResult < 'NarrowingSearchResult? .
  subsort 'NarrowingStep < 'NarrowingTrace .
  subsort 'Nat < 'Bound .
  subsort 'Nat < 'FindResult .
  subsort 'Nat < 'NeNatList .
  subsort 'Nat < 'Parent .
  subsort 'NeCTermList < 'GTermList .
  subsort 'NeGroundTermList < 'GroundTermList .
  subsort 'NeGroundTermList < 'NeTermList .
  subsort 'NeHookList < 'HookList .
  subsort 'NeKindSet < 'KindSet .
  subsort 'NeKindSet < 'NeTypeSet .
  subsort 'NeNatList < 'NatList .
  subsort 'NeParameterDeclList < 'ParameterDeclList .
  subsort 'NeParameterList < 'ParameterList .
  subsort 'NeQidList < 'QidList .
  subsort 'NeQidSet < 'QidSet .
  subsort 'NeSortSet < 'NeTypeSet .
  subsort 'NeSortSet < 'SortSet .
  subsort 'NeTermList < 'TermList .
  subsort 'NeTypeList < 'NeQidList .
  subsort 'NeTypeList < 'TypeList .
  subsort 'NeTypeSet < 'NeQidSet .
  subsort 'NeTypeSet < 'TypeSet .
  subsort 'NeVariableSet < 'NeQidSet .
  subsort 'NeVariableSet < 'VariableSet .
  subsort 'NzNat < 'Nat .
  subsort 'OpDecl < 'OpDeclSet .
  subsort 'OpMapping < 'OpMappingSet .
  subsort 'ParameterDecl < 'NeParameterDeclList .
  subsort 'PatternSubjectPair < 'MatchingProblem .
  subsort 'PrintOption < 'PrintOptionSet .
  subsort 'Qid < 'Header .
  subsort 'Qid < 'NeQidList .
  subsort 'Qid < 'NeQidSet .
  subsort 'Renaming < 'RenamingSet .
  subsort 'Result4Tuple < 'Result4Tuple? .
  subsort 'ResultPair < 'ResultPair? .
  subsort 'ResultTriple < 'ResultTriple? .
  subsort 'Rule < 'RuleSet .
  subsort 'RuleApplication < 'Strategy .
  subsort 'SModule < 'Module .
  subsort 'SModule < 'StratModule .
  subsort 'STheory < 'Module .
  subsort 'STheory < 'StratTheory .
  subsort 'SmtResult < 'SmtResult? .
  subsort 'Sort < 'Expression .
  subsort 'Sort < 'NeSortSet .
  subsort 'Sort < 'Type .
  subsort 'SortMapping < 'SortMappingSet .
  subsort 'SortSet < 'TypeSet .
  subsort 'StratDecl < 'StratDeclSet .
  subsort 'StratDefinition < 'StratDefSet .
  subsort 'StratMapping < 'StratMappingSet .
  subsort 'StratModule < 'Module .
  subsort 'StratTheory < 'Module .
  subsort 'Strategy < 'Strategy? .
  subsort 'Strategy < 'StrategyList .
  subsort 'SubsortDecl < 'SubsortDeclSet .
  subsort 'Substitution < 'Substitution? .
  subsort 'Term < 'NeTermList .
  subsort 'TermList < 'GTermList .
  subsort 'TermQid < 'Qid .
  subsort 'TermQid < 'Term .
  subsort 'Trace < 'Trace? .
  subsort 'TraceStep < 'Trace .
  subsort 'Type < 'NeTypeList .
  subsort 'Type < 'NeTypeSet .
  subsort 'Type < 'Qid .
  subsort 'Type < 'Type? .
  subsort 'TypeList < 'QidList .
  subsort 'TypeList < 'TypeListSet .
  subsort 'TypeSet < 'QidSet .
  subsort 'TypeSet < 'TypeListSet .
  subsort 'UnificandPair < 'UnificationProblem .
  subsort 'UnificationPair < 'MatchOrUnificationPair .
  subsort 'UnificationPair < 'UnificationPair? .
  subsort 'UnificationTriple < 'UnificationTriple? .
  subsort 'UsingPair < 'UsingPairSet .
  subsort 'Variable < 'NeVariableSet .
  subsort 'Variable < 'TermQid .
  subsort 'VariableSet < 'QidSet .
  subsort 'Variant < 'Variant? .
  subsort 'VariantOption < 'VariantOptionSet .
  subsort 'ViewExpression < 'NeParameterList .
  subsort 'Zero < 'Nat .
  op '$applySubstitution : 'NeTermList 'Substitution -> 'Term [none] .
  op '$card : 'QidSet 'Nat -> 'Nat [none] .
  op '$diff : 'QidSet 'QidSet 'QidSet -> 'QidSet [none] .
  op '$intersect : 'QidSet 'QidSet 'QidSet -> 'QidSet [none] .
  op '$reverse : 'NatList 'NatList -> 'NatList [none] .
  op '$reverse : 'QidList 'QidList -> 'QidList [none] .
  op '$size : 'NatList 'Nat -> 'Nat [none] .
  op '$size : 'QidList 'Nat -> 'Nat [none] .
  op '0 : nil -> 'Zero [ctor] .
  op '<Qids> : nil -> 'Constant [special(
    id-hook('QuotedIdentifierSymbol, 'constantQid))] .
  op '<Qids> : nil -> 'Kind [special(
    id-hook('QuotedIdentifierSymbol, 'kindQid))] .
  op '<Qids> : nil -> 'Qid [special(
    id-hook('QuotedIdentifierSymbol, nil))] .
  op '<Qids> : nil -> 'Sort [special(
    id-hook('QuotedIdentifierSymbol, 'sortQid))] .
  op '<Qids> : nil -> 'Variable [special(
    id-hook('QuotedIdentifierSymbol, 'variableQid))] .
  op '<Strings> : nil -> 'Char [special(
    id-hook('StringSymbol, nil))] .
  op '<Strings> : nil -> 'String [special(
    id-hook('StringSymbol, nil))] .
  op '_! : 'Strategy -> 'Strategy [ctor] .
  op '_&_ : 'Nat 'Nat -> 'Nat [assoc comm prec(53) special(
    id-hook('ACU_NumberOpSymbol, '&) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_* : 'Strategy -> 'Strategy [ctor] .
  op '_*_ : 'Nat 'Nat -> 'Nat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'NzNat 'NzNat -> 'NzNat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*`(_`) : 'ModuleExpression 'RenamingSet -> 'ModuleExpression [ctor prec(
    39) format('d 'd 's 'n++i 'n--i 'd)] .
  op '_+ : 'Strategy -> 'Strategy [ctor] .
  op '_+_ : 'ModuleExpression 'ModuleExpression -> 'ModuleExpression [assoc
    comm ctor] .
  op '_+_ : 'Nat 'Nat -> 'Nat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'String 'String -> 'String [prec(33) gather('E 'e) special(
    id-hook('StringOpSymbol, '+) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op '_/\_ : 'Condition 'Condition -> 'Condition [assoc ctor id(
    'nil.EqCondition) prec(73)] .
  op '_/\_ : 'EqCondition 'EqCondition -> 'EqCondition [assoc ctor id(
    'nil.EqCondition) prec(73)] .
  op '_/\_ : 'MatchingProblem 'MatchingProblem -> 'MatchingProblem [assoc comm
    ctor prec(73)] .
  op '_/\_ : 'UnificationProblem 'UnificationProblem -> 'UnificationProblem [
    assoc comm ctor prec(73)] .
  op '_::_ : 'Sort 'ModuleExpression -> 'ParameterDecl [none] .
  op '_:=_ : 'Term 'Term -> 'EqCondition [ctor prec(71)] .
  op '_:_ : 'Term 'Sort -> 'EqCondition [ctor prec(71)] .
  op '_;_ : 'EmptyQidSet 'EmptyQidSet -> 'EmptyQidSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'KindSet 'KindSet -> 'KindSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeKindSet 'KindSet -> 'NeKindSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeQidSet 'QidSet -> 'NeQidSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeSortSet 'SortSet -> 'NeSortSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeTypeSet 'TypeSet -> 'NeTypeSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeVariableSet 'VariableSet -> 'NeVariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'QidSet 'QidSet -> 'QidSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
  op '_;_ : 'SortSet 'SortSet -> 'SortSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'Strategy 'Strategy -> 'Strategy [assoc ctor id('idle.Strategy)
    prec(39) gather('e 'E)] .
  op '_;_ : 'Substitution 'Substitution -> 'Substitution [assoc comm ctor id(
    'none.Substitution) prec(65)] .
  op '_;_ : 'TypeListSet 'TypeListSet -> 'TypeListSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'TypeSet 'TypeSet -> 'TypeSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'VariableSet 'VariableSet -> 'VariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_<-_ : 'Variable 'Term -> 'Assignment [ctor prec(63) format('n++i 'd 'd
    '--)] .
  op '_<<_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '<<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<=?_ : 'Term 'Term -> 'PatternSubjectPair [ctor prec(71)] .
  op '_<=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
  op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
  op '_=>_ : 'Term 'Term -> 'Condition [ctor prec(71)] .
  op '_=?_ : 'Term 'Term -> 'UnificandPair [ctor prec(71)] .
  op '_=_ : 'Term 'Term -> 'EqCondition [ctor prec(71)] .
  op '_>=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>>_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '>>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_>_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_?_:_ : 'Strategy 'Strategy 'Strategy -> 'Strategy [ctor prec(55)] .
  op '_\_ : 'QidSet 'QidSet -> 'QidSet [gather('E 'e)] .
  op '_^_ : 'Nat 'Nat -> 'Nat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_^_ : 'NzNat 'Nat -> 'NzNat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '__ : 'AttrSet 'AttrSet -> 'AttrSet [assoc comm ctor id('none.AttrSet)] .
  op '__ : 'EquationSet 'EquationSet -> 'EquationSet [assoc comm ctor id(
    'none.EquationSet) format('d 'ni 'd)] .
  op '__ : 'HookList 'HookList -> 'HookList [assoc ctor id('nil.HookList)] .
  op '__ : 'HookList 'NeHookList -> 'NeHookList [assoc ctor id('nil.HookList)]
    .
  op '__ : 'ImportList 'ImportList -> 'ImportList [assoc ctor id(
    'nil.ImportList) format('d 'ni 'd)] .
  op '__ : 'MembAxSet 'MembAxSet -> 'MembAxSet [assoc comm ctor id(
    'none.MembAxSet) format('d 'ni 'd)] .
  op '__ : 'NarrowingTrace 'NarrowingTrace -> 'NarrowingTrace [assoc ctor id(
    'nil.NarrowingTrace)] .
  op '__ : 'NatList 'NatList -> 'NatList [assoc ctor id('nil.NatList) prec(25)]
    .
  op '__ : 'NatList 'NeNatList -> 'NeNatList [assoc ctor id('nil.NatList) prec(
    25)] .
  op '__ : 'NeHookList 'HookList -> 'NeHookList [assoc ctor id('nil.HookList)]
    .
  op '__ : 'NeNatList 'NatList -> 'NeNatList [assoc ctor id('nil.NatList) prec(
    25)] .
  op '__ : 'NeQidList 'QidList -> 'NeQidList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'NeTypeList 'TypeList -> 'NeTypeList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'OpDeclSet 'OpDeclSet -> 'OpDeclSet [assoc comm ctor id(
    'none.OpDeclSet) format('d 'ni 'd)] .
  op '__ : 'OpMappingSet 'OpMappingSet -> 'OpMappingSet [assoc comm ctor id(
    'none.OpMappingSet) format('d 'ni 'd)] .
  op '__ : 'PrintOptionSet 'PrintOptionSet -> 'PrintOptionSet [assoc comm ctor
    id('none.PrintOptionSet)] .
  op '__ : 'QidList 'NeQidList -> 'NeQidList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'QidList 'QidList -> 'QidList [assoc ctor id('nil.TypeList) prec(
    25)] .
  op '__ : 'RuleSet 'RuleSet -> 'RuleSet [assoc comm ctor id('none.RuleSet)
    format('d 'ni 'd)] .
  op '__ : 'SortMappingSet 'SortMappingSet -> 'SortMappingSet [assoc comm ctor
    id('none.SortMappingSet) format('d 'ni 'd)] .
  op '__ : 'StratDeclSet 'StratDeclSet -> 'StratDeclSet [assoc comm ctor id(
    'none.StratDeclSet) format('d 'ni 'd)] .
  op '__ : 'StratDefSet 'StratDefSet -> 'StratDefSet [assoc comm ctor id(
    'none.StratDefSet) format('d 'ni 'd)] .
  op '__ : 'StratMappingSet 'StratMappingSet -> 'StratMappingSet [assoc comm
    ctor id('none.StratMappingSet) format('d 'ni 'd)] .
  op '__ : 'SubsortDeclSet 'SubsortDeclSet -> 'SubsortDeclSet [assoc comm ctor
    id('none.SubsortDeclSet) format('d 'ni 'd)] .
  op '__ : 'Trace 'Trace -> 'Trace [assoc ctor id('nil.Trace) format('d 'n 'd)]
    .
  op '__ : 'TypeList 'NeTypeList -> 'NeTypeList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'TypeList 'TypeList -> 'TypeList [assoc ctor id('nil.TypeList) prec(
    25)] .
  op '__ : 'VariantOptionSet 'VariantOptionSet -> 'VariantOptionSet [assoc comm
    ctor id('none.VariantOptionSet)] .
  op '_`,_ : 'EmptyCommaList 'EmptyCommaList -> 'EmptyCommaList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'GTermList 'GTermList -> 'GTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'GroundTermList 'GroundTermList -> 'GroundTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'GroundTermList 'NeGroundTermList -> 'NeGroundTermList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeCTermList 'TermList -> 'NeCTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeGroundTermList 'GroundTermList -> 'NeGroundTermList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeParameterDeclList 'ParameterDeclList -> 'NeParameterDeclList [
    assoc ctor id('nil.ParameterDeclList) prec(121)] .
  op '_`,_ : 'NeParameterList 'ParameterList -> 'NeParameterList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeTermList 'TermList -> 'NeTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'ParameterDeclList 'NeParameterDeclList -> 'NeParameterDeclList [
    assoc ctor id('nil.ParameterDeclList) prec(121)] .
  op '_`,_ : 'ParameterDeclList 'ParameterDeclList -> 'ParameterDeclList [assoc
    ctor id('nil.ParameterDeclList) prec(121)] .
  op '_`,_ : 'ParameterList 'NeParameterList -> 'NeParameterList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'ParameterList 'ParameterList -> 'ParameterList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'RenamingSet 'RenamingSet -> 'RenamingSet [assoc comm ctor prec(
    43) format('d 'd 'ni 'd)] .
  op '_`,_ : 'StrategyList 'StrategyList -> 'StrategyList [assoc ctor id(
    'empty.StrategyList)] .
  op '_`,_ : 'TermList 'NeCTermList -> 'NeCTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'TermList 'NeTermList -> 'NeTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'TermList 'TermList -> 'TermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'UsingPairSet 'UsingPairSet -> 'UsingPairSet [assoc comm ctor
    prec(61)] .
  op '_`[_`] : 'Qid 'NeCTermList -> 'Context [ctor] .
  op '_`[_`] : 'Qid 'NeGroundTermList -> 'GroundTerm [ctor] .
  op '_`[_`] : 'Qid 'NeTermList -> 'Term [ctor] .
  op '_`[_`]`{_`} : 'Qid 'Substitution 'StrategyList -> 'RuleApplication [ctor
    prec(21)] .
  op '_`[`[_`]`] : 'Qid 'TermList -> 'CallStrategy [ctor prec(21)] .
  op '_`{_`} : 'Expression 'NeParameterList -> 'Expression [ctor prec(37)] .
  op '_`{_`} : 'ModuleExpression 'NeParameterList -> 'ModuleExpression [ctor
    prec(37)] .
  op '_`{_`} : 'Qid 'ParameterDeclList -> 'Header [ctor] .
  op '_`{_`} : 'ViewExpression 'NeParameterList -> 'ViewExpression [ctor prec(
    37)] .
  op '_and-then_ : 'Bool 'Bool -> 'Bool [strat(1 0) prec(55) gather('e 'E)] .
  op '_and_ : 'Bool 'Bool -> 'Bool [assoc comm prec(55)] .
  op '_divides_ : 'NzNat 'Nat -> 'Bool [prec(51) special(
    id-hook('NumberOpSymbol, 'divides) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_implies_ : 'Bool 'Bool -> 'Bool [prec(61) gather('e 'E)] .
  op '_in_ : 'Qid 'QidSet -> 'Bool [none] .
  op '_or-else_ : 'Bool 'Bool -> 'Bool [strat(1 0) prec(59) gather('e 'E)] .
  op '_or-else_ : 'Strategy 'Strategy -> 'Strategy [assoc ctor prec(43) gather(
    'e 'E)] .
  op '_or_ : 'Bool 'Bool -> 'Bool [assoc comm prec(59)] .
  op '_psubset_ : 'QidSet 'QidSet -> 'Bool [none] .
  op '_quo_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'quo) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_rem_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'rem) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_subset_ : 'QidSet 'QidSet -> 'Bool [none] .
  op '_using_ : 'Variable 'Strategy -> 'UsingPair [ctor prec(21)] .
  op '_xor_ : 'Bool 'Bool -> 'Bool [assoc comm prec(57)] .
  op '_xor_ : 'Nat 'Nat -> 'Nat [assoc comm prec(55) special(
    id-hook('ACU_NumberOpSymbol, 'xor) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Nat 'Nat -> 'Nat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Strategy 'Strategy -> 'Strategy [assoc comm ctor id(
    'fail.Strategy) prec(41) gather('e 'E)] .
  op '`[_`] : 'Qid -> 'Module [none] .
  op '`[`] : nil -> 'Context [ctor] .
  op '`{_`,_`,_`,_`,_`,_`,_`} : 'Context 'Qid 'Substitution 'Qid 'Term 'Type
    'Substitution -> 'NarrowingStep [ctor format('ni 'n++i 'd 'ni 'd 's 'd 'ni
    'd 'ni 'd 's 'd 's 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Context 'Qid 'Substitution
    'Substitution 'Qid -> 'NarrowingApplyResult [ctor format('d 'n++i 'd 's 'd
    'ni 'd 'ni 'd 's 'd 's 'd 'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'NarrowingTrace
    'Substitution 'Qid -> 'NarrowingSearchPathResult [ctor format('d 'n++i 'd
    's 'd 's 'd 's 'd 's 'd 'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Qid 'Substitution 'Qid
    -> 'NarrowingSearchResult [ctor format('d 'n++i 'd 's 'd 's 'd 'ni 'd 's 'd
    'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Nat 'Parent 'Bool -> 'Variant [
    ctor] .
  op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Qid 'Parent 'Bool -> 'Variant [
    ctor] .
  op '`{_`,_`,_`,_`} : 'Term 'Substitution 'Term 'Nat -> 'SmtResult [ctor] .
  op '`{_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Context -> 'Result4Tuple [
    ctor] .
  op '`{_`,_`,_`} : 'Substitution 'Substitution 'Nat -> 'UnificationTriple [
    ctor] .
  op '`{_`,_`,_`} : 'Substitution 'Substitution 'Qid -> 'UnificationTriple [
    ctor] .
  op '`{_`,_`,_`} : 'Term 'Type 'Rule -> 'TraceStep [ctor] .
  op '`{_`,_`,_`} : 'Term 'Type 'Substitution -> 'ResultTriple [ctor] .
  op '`{_`,_`} : 'Substitution 'Context -> 'MatchPair [ctor] .
  op '`{_`,_`} : 'Substitution 'Nat -> 'UnificationPair [ctor] .
  op '`{_`,_`} : 'Substitution 'Qid -> 'UnificationPair [ctor] .
  op '`{_`,_`} : 'Term 'Type -> 'ResultPair [ctor] .
  op 'all : nil -> 'RuleApplication [ctor] .
  op 'amatch_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
  op 'amatchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor]
    .
  op 'ambiguity : 'ResultPair 'ResultPair -> 'ResultPair? [ctor] .
  op 'ambiguity : 'Strategy 'Strategy -> 'Strategy? [ctor] .
  op 'anyType : nil -> 'Type? [ctor] .
  op 'append : 'NatList 'NatList -> 'NatList [none] .
  op 'append : 'NatList 'NeNatList -> 'NeNatList [none] .
  op 'append : 'NeNatList 'NatList -> 'NeNatList [none] .
  op 'append : 'NeQidList 'QidList -> 'NeQidList [none] .
  op 'append : 'QidList 'NeQidList -> 'NeQidList [none] .
  op 'append : 'QidList 'QidList -> 'QidList [none] .
  op 'applySubstitution : 'Module 'Term 'Substitution -> 'Term [none] .
  op 'ascii : 'Char -> 'Nat [special(
    id-hook('StringOpSymbol, 'ascii) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'assoc : nil -> 'Attr [ctor] .
  op 'breadthFirst : nil -> 'SrewriteOption [ctor] .
  op 'ceq_=_if_`[_`]. : 'Term 'Term 'EqCondition 'AttrSet -> 'Equation [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'char : '`[FindResult`,NatList`,Bound`,Parent`] -> '`[String`] [special(
    id-hook('StringOpSymbol, 'char) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'cmb_:_if_`[_`]. : 'Term 'Sort 'EqCondition 'AttrSet -> 'MembAx [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'comm : nil -> 'Attr [ctor] .
  op 'completeName : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCompleteName) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'config : nil -> 'Attr [ctor] .
  op 'crl_=>_if_`[_`]. : 'Term 'Term 'Condition 'AttrSet -> 'Rule [ctor format(
    'd 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'csd_:=_if_`[_`]. : 'CallStrategy 'Strategy 'EqCondition 'AttrSet ->
    'StratDefinition [ctor format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'ctor : nil -> 'Attr [ctor] .
  op 'delay : nil -> 'VariantOption [ctor] .
  op 'delete : 'Qid 'QidSet -> 'QidSet [none] .
  op 'depthFirst : nil -> 'SrewriteOption [ctor] .
  op 'downTerm : 'Term 'Universal -> 'Universal [poly(2 0) special(
    id-hook('MetaLevelOpSymbol, 'metaDownTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'empty : nil -> 'EmptyCommaList [ctor] .
  op 'empty : nil -> 'GroundTermList [ctor] .
  op 'empty : nil -> 'StrategyList [ctor] .
  op 'eq_=_`[_`]. : 'Term 'Term 'AttrSet -> 'Equation [ctor format('d 'd 'd 'd
    's 'd 'd 's 'd)] .
  op 'extending_. : 'ModuleExpression -> 'Import [ctor] .
  op 'fail : nil -> 'Strategy [ctor] .
  op 'failure : nil -> 'NarrowingApplyResult? [ctor] .
  op 'failure : nil -> 'NarrowingSearchPathResult? [ctor] .
  op 'failure : nil -> 'NarrowingSearchResult? [ctor] .
  op 'failure : nil -> 'Result4Tuple? [ctor] .
  op 'failure : nil -> 'ResultPair? [ctor] .
  op 'failure : nil -> 'ResultTriple? [ctor] .
  op 'failure : nil -> 'SmtResult? [ctor] .
  op 'failure : nil -> 'Trace? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingApplyResult? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingSearchPathResult? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingSearchResult? [ctor] .
  op 'failureIncomplete : nil -> 'ResultTriple? [ctor] .
  op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
  op 'filter : nil -> 'VariantOption [ctor] .
  op 'find : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'find) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
  op 'flat : nil -> 'PrintOption [ctor] .
  op 'fmod_is_sorts_.____endfm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet -> 'FModule [ctor gather('& '& '& '& '&
    '& '&) format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'format : 'QidList -> 'Attr [ctor] .
  op 'format : nil -> 'PrintOption [ctor] .
  op 'front : 'NeNatList -> 'NatList [none] .
  op 'front : 'NeQidList -> 'QidList [none] .
  op 'frozen : 'NeNatList -> 'Attr [ctor] .
  op 'fth_is_sorts_.____endfth : 'Qid 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet -> 'FTheory [ctor gather('& '& '& '& '&
    '& '&) format('d 'd 'd 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'gather : 'QidList -> 'Attr [ctor] .
  op 'gcd : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'gcd : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'generated-by_. : 'ModuleExpression -> 'Import [ctor] .
  op 'getAccumulatedSubstitution : 'NarrowingSearchResult -> 'Substitution [
    none] .
  op 'getAccumulatedSubstitution : 'NarrowingStep -> 'Substitution [none] .
  op 'getContext : 'MatchPair -> 'Context [none] .
  op 'getContext : 'NarrowingApplyResult -> 'Context [none] .
  op 'getContext : 'NarrowingStep -> 'Context [none] .
  op 'getContext : 'Result4Tuple -> 'Context [none] .
  op 'getEqs : 'Module -> 'EquationSet [none] .
  op 'getFrom : 'View -> 'ModuleExpression [none] .
  op 'getImports : 'Module -> 'ImportList [none] .
  op 'getInitialSubstitution : 'NarrowingSearchPathResult -> 'Substitution [
    none] .
  op 'getInitialTerm : 'NarrowingSearchPathResult -> 'Term [none] .
  op 'getInitialType : 'NarrowingSearchPathResult -> 'Type [none] .
  op 'getKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'getKinds : '`[Module`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKinds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'getLabel : 'NarrowingApplyResult -> 'Qid [none] .
  op 'getLabel : 'NarrowingStep -> 'Qid [none] .
  op 'getLhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
  op 'getMbs : 'Module -> 'MembAxSet [none] .
  op 'getMoreVariantsInLayerFlag : 'Variant -> 'Bool [none] .
  op 'getName : 'Constant -> 'Qid [none] .
  op 'getName : 'Module -> 'Qid [none] .
  op 'getName : 'Variable -> 'Qid [none] .
  op 'getName : 'View -> 'Qid [none] .
  op 'getOpMappings : 'View -> 'OpMappingSet [none] .
  op 'getOps : 'Module -> 'OpDeclSet [none] .
  op 'getParent : 'Variant -> 'Parent [none] .
  op 'getRhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
  op 'getRls : 'Module -> 'RuleSet [none] .
  op 'getRule : 'TraceStep -> 'Rule [none] .
  op 'getRuleSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
  op 'getSds : 'Module -> 'StratDefSet [none] .
  op 'getSortMappings : 'View -> 'SortMappingSet [none] .
  op 'getSorts : 'Module -> 'SortSet [none] .
  op 'getStateVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
  op 'getStratMappings : 'View -> 'StratMappingSet [none] .
  op 'getStrats : 'Module -> 'StratDeclSet [none] .
  op 'getSubsorts : 'Module -> 'SubsortDeclSet [none] .
  op 'getSubstitution : 'MatchPair -> 'Substitution [none] .
  op 'getSubstitution : 'Result4Tuple -> 'Substitution [none] .
  op 'getSubstitution : 'ResultTriple -> 'Substitution [none] .
  op 'getSubstitution : 'UnificationPair -> 'Substitution [none] .
  op 'getSubstitution : 'Variant -> 'Substitution [none] .
  op 'getTerm : 'NarrowingApplyResult -> 'Term [none] .
  op 'getTerm : 'NarrowingSearchResult -> 'Term [none] .
  op 'getTerm : 'NarrowingStep -> 'Term [none] .
  op 'getTerm : 'Result4Tuple -> 'Term [none] .
  op 'getTerm : 'ResultPair -> 'Term [none] .
  op 'getTerm : 'ResultTriple -> 'Term [none] .
  op 'getTerm : 'TraceStep -> 'Term [none] .
  op 'getTerm : 'Variant -> 'Term [none] .
  op 'getTermSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
  op 'getTo : 'View -> 'ModuleExpression [none] .
  op 'getTrace : 'NarrowingSearchPathResult -> 'NarrowingTrace [none] .
  op 'getType : 'Constant -> 'Type [none] .
  op 'getType : 'NarrowingApplyResult -> 'Type [none] .
  op 'getType : 'NarrowingSearchResult -> 'Type [none] .
  op 'getType : 'NarrowingStep -> 'Type [none] .
  op 'getType : 'Result4Tuple -> 'Type [none] .
  op 'getType : 'ResultPair -> 'Type [none] .
  op 'getType : 'ResultTriple -> 'Type [none] .
  op 'getType : 'TraceStep -> 'Type [none] .
  op 'getType : 'Variable -> 'Type [none] .
  op 'getUnifier : 'NarrowingSearchPathResult -> 'Substitution [none] .
  op 'getUnifier : 'NarrowingSearchResult -> 'Substitution [none] .
  op 'getUnifier : 'NarrowingStep -> 'Substitution [none] .
  op 'getUnifierVariableFamily : 'NarrowingSearchPathResult -> 'Qid [none] .
  op 'getUnifierVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
  op 'getUnifierVariableFamily : 'NarrowingStep -> 'Qid [none] .
  op 'getVariableFamily : 'NarrowingApplyResult -> 'Qid [none] .
  op 'getVariableFamily : 'UnificationPair -> 'Qid [none] .
  op 'getVariableFamily : 'UnificationTriple -> 'Qid [none] .
  op 'getVariableFamily : 'Variant -> 'Qid [none] .
  op 'glbSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaGlbSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'head : 'NeNatList -> 'Nat [none] .
  op 'head : 'NeQidList -> 'Qid [none] .
  op 'id : 'Term -> 'Attr [ctor] .
  op 'id-hook : 'Qid 'QidList -> 'Hook [ctor format('nssss 'd)] .
  op 'idem : nil -> 'Attr [ctor] .
  op 'idle : nil -> 'Strategy [ctor] .
  op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
  op 'including_. : 'ModuleExpression -> 'Import [ctor] .
  op 'insert : 'Qid 'QidSet -> 'QidSet [none] .
  op 'intersection : 'QidSet 'QidSet -> 'QidSet [none] .
  op 'iter : nil -> 'Attr [ctor] .
  op 'label : 'Qid -> 'Attr [ctor] .
  op 'label_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
  op 'last : 'NeNatList -> 'Nat [none] .
  op 'last : 'NeQidList -> 'Qid [none] .
  op 'latex : 'String -> 'Attr [ctor] .
  op 'lcm : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lcm : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'leastSort : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLeastSort) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'left-id : 'Term -> 'Attr [ctor] .
  op 'length : 'String -> 'Nat [special(
    id-hook('StringOpSymbol, 'length) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lesserSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLesserSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'lowerCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'lowerCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'match_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
  op 'matchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor]
    .
  op 'max : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'maximalAritySet : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalAritySet) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'maximalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'mb_:_`[_`]. : 'Term 'Sort 'AttrSet -> 'MembAx [ctor format('d 'd 'd 'd 's
    'd 'd 's 'd)] .
  op 'memo : nil -> 'Attr [ctor] .
  op 'metaApply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaCheck : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCheck) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaFrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaFrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaIrredundantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaIrredundantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaMatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] '`[Bool`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow2) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'Nat ->
    'NarrowingApplyResult? [none] .
  op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'VariantOptionSet 'Nat
    -> 'NarrowingApplyResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchResult? [none] .
  op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchPathResult? [none] .
  op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchPathResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNormalize : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNormalize) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [
    none] .
  op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParse) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaParseStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[StrategyList`,Strategy?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParseStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrint) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrettyPrintStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[StrategyList`,Strategy?`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrintStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrintToString : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[String`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrintToString) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaReduce : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaReduce) 
    op-hook('qidSymbol, '<Qids>, nil, 'Qid) 
    op-hook('metaTermSymbol, '_`[_`], 'Qid 'NeGroundTermList, 'GroundTerm) 
    op-hook('metaArgSymbol, '_`,_, 'NeGroundTermList 'GroundTermList,
    'NeGroundTermList) 
    op-hook('emptyTermListSymbol, 'empty, nil, 'GroundTermList) 
    op-hook('assignmentSymbol, '_<-_, 'Variable 'Term, 'Assignment) 
    op-hook('emptySubstitutionSymbol, 'none, nil, 'Substitution) 
    op-hook('substitutionSymbol, '_;_, 'Substitution 'Substitution,
    'Substitution) 
    op-hook('holeSymbol, '`[`], nil, 'Context) 
    op-hook('noConditionSymbol, 'nil, nil, 'EqCondition) 
    op-hook('equalityConditionSymbol, '_=_, 'Term 'Term, 'EqCondition) 
    op-hook('sortTestConditionSymbol, '_:_, 'Term 'Sort, 'EqCondition) 
    op-hook('matchConditionSymbol, '_:=_, 'Term 'Term, 'EqCondition) 
    op-hook('rewriteConditionSymbol, '_=>_, 'Term 'Term, 'Condition) 
    op-hook('conjunctionSymbol, '_/\_, 'EqCondition 'EqCondition, 'EqCondition)
    
    op-hook('failStratSymbol, 'fail, nil, 'Strategy) 
    op-hook('idleStratSymbol, 'idle, nil, 'Strategy) 
    op-hook('allStratSymbol, 'all, nil, 'RuleApplication) 
    op-hook('applicationStratSymbol, '_`[_`]`{_`}, 'Qid 'Substitution
    'StrategyList, 'RuleApplication) 
    op-hook('topStratSymbol, 'top, 'RuleApplication, 'Strategy) 
    op-hook('matchStratSymbol, 'match_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('xmatchStratSymbol, 'xmatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('amatchStratSymbol, 'amatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('unionStratSymbol, '_|_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('concatStratSymbol, '_;_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('orelseStratSymbol, '_or-else_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('plusStratSymbol, '_+, 'Strategy, 'Strategy) 
    op-hook('conditionalStratSymbol, '_?_:_, 'Strategy 'Strategy 'Strategy,
    'Strategy) 
    op-hook('matchrewStratSymbol, 'matchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('xmatchrewStratSymbol, 'xmatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('amatchrewStratSymbol, 'amatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('callStratSymbol, '_`[`[_`]`], 'Qid 'TermList, 'CallStrategy) 
    op-hook('oneStratSymbol, 'one, 'Strategy, 'Strategy) 
    op-hook('starStratSymbol, '_*, 'Strategy, 'Strategy) 
    op-hook('normalizationStratSymbol, '_!, 'Strategy, 'Strategy) 
    op-hook('notStratSymbol, 'not, 'Strategy, 'Strategy) 
    op-hook('testStratSymbol, 'test, 'Strategy, 'Strategy) 
    op-hook('tryStratSymbol, 'try, 'Strategy, 'Strategy) 
    op-hook('usingStratSymbol, '_using_, 'Variable 'Strategy, 'UsingPair) 
    op-hook('usingListStratSymbol, '_`,_, 'UsingPairSet 'UsingPairSet,
    'UsingPairSet) 
    op-hook('emptyStratListSymbol, 'empty, nil, 'StrategyList) 
    op-hook('stratListSymbol, '_`,_, 'StrategyList 'StrategyList,
    'StrategyList) 
    op-hook('headerSymbol, '_`{_`}, 'Qid 'ParameterDeclList, 'Header) 
    op-hook('parameterDeclSymbol, '_::_, 'Sort 'ModuleExpression,
    'ParameterDecl) 
    op-hook('parameterDeclListSymbol, '_`,_, 'ParameterDeclList
    'ParameterDeclList, 'ParameterDeclList) 
    op-hook('protectingSymbol, 'protecting_., 'ModuleExpression, 'Import) 
    op-hook('extendingSymbol, 'extending_., 'ModuleExpression, 'Import) 
    op-hook('includingSymbol, 'including_., 'ModuleExpression, 'Import) 
    op-hook('generatedBySymbol, 'generated-by_., 'ModuleExpression, 'Import) 
    op-hook('nilImportListSymbol, 'nil, nil, 'ImportList) 
    op-hook('importListSymbol, '__, 'ImportList 'ImportList, 'ImportList) 
    op-hook('emptySortSetSymbol, 'none, nil, 'QidSet) 
    op-hook('sortSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('subsortSymbol, 'subsort_<_., 'Sort 'Sort, 'SubsortDecl) 
    op-hook('emptySubsortDeclSetSymbol, 'none, nil, 'SubsortDeclSet) 
    op-hook('subsortDeclSetSymbol, '__, 'SubsortDeclSet 'SubsortDeclSet,
    'SubsortDeclSet) 
    op-hook('nilQidListSymbol, 'nil, nil, 'QidList) 
    op-hook('qidListSymbol, '__, 'QidList 'QidList, 'QidList) 
    op-hook('emptyQidSetSymbol, 'none, nil, 'QidSet) 
    op-hook('qidSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    op-hook('natListSymbol, '__, 'NatList 'NatList, 'NatList) 
    op-hook('unboundedSymbol, 'unbounded, nil, 'Bound) 
    op-hook('noParentSymbol, 'none, nil, 'Parent) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('sortRenamingSymbol, 'sort_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('opRenamingSymbol, 'op_to_`[_`], 'Qid 'Qid 'AttrSet, 'Renaming) 
    op-hook('opRenamingSymbol2, 'op_:_->_to_`[_`], 'Qid 'TypeList 'Type 'Qid
    'AttrSet, 'Renaming) 
    op-hook('labelRenamingSymbol, 'label_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol, 'strat_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol2, 'strat_:_@_to_, 'Qid 'TypeList 'Type 'Qid,
    'Renaming) 
    op-hook('renamingSetSymbol, '_`,_, 'RenamingSet 'RenamingSet, 'RenamingSet)
    
    op-hook('sumSymbol, '_+_, 'ModuleExpression 'ModuleExpression,
    'ModuleExpression) 
    op-hook('renamingSymbol, '_*`(_`), 'ModuleExpression 'RenamingSet,
    'ModuleExpression) 
    op-hook('instantiationSymbol, '_`{_`}, 'Expression 'NeParameterList,
    'Expression) 
    op-hook('termHookSymbol, 'term-hook, 'Qid 'Term, 'Hook) 
    op-hook('hookListSymbol, '__, 'HookList 'HookList, 'HookList) 
    op-hook('idHookSymbol, 'id-hook, 'Qid 'QidList, 'Hook) 
    op-hook('opHookSymbol, 'op-hook, 'Qid 'Qid 'QidList 'Qid, 'Hook) 
    op-hook('assocSymbol, 'assoc, nil, 'Attr) 
    op-hook('commSymbol, 'comm, nil, 'Attr) 
    op-hook('idemSymbol, 'idem, nil, 'Attr) 
    op-hook('iterSymbol, 'iter, nil, 'Attr) 
    op-hook('idSymbol, 'id, 'Term, 'Attr) 
    op-hook('leftIdSymbol, 'left-id, 'Term, 'Attr) 
    op-hook('rightIdSymbol, 'right-id, 'Term, 'Attr) 
    op-hook('stratSymbol, 'strat, 'NeNatList, 'Attr) 
    op-hook('memoSymbol, 'memo, nil, 'Attr) 
    op-hook('precSymbol, 'prec, 'Nat, 'Attr) 
    op-hook('gatherSymbol, 'gather, 'QidList, 'Attr) 
    op-hook('formatSymbol, 'format, 'QidList, 'Attr) 
    op-hook('latexSymbol, 'latex, 'String, 'Attr) 
    op-hook('ctorSymbol, 'ctor, nil, 'Attr) 
    op-hook('frozenSymbol, 'frozen, 'NeNatList, 'Attr) 
    op-hook('polySymbol, 'poly, 'NeNatList, 'Attr) 
    op-hook('configSymbol, 'config, nil, 'Attr) 
    op-hook('objectSymbol, 'object, nil, 'Attr) 
    op-hook('msgSymbol, 'msg, nil, 'Attr) 
    op-hook('portalSymbol, 'portal, nil, 'Attr) 
    op-hook('pconstSymbol, 'pconst, nil, 'Attr) 
    op-hook('specialSymbol, 'special, 'NeHookList, 'Attr) 
    op-hook('labelSymbol, 'label, 'Qid, 'Attr) 
    op-hook('metadataSymbol, 'metadata, 'String, 'Attr) 
    op-hook('owiseSymbol, 'owise, nil, 'Attr) 
    op-hook('variantAttrSymbol, 'variant, nil, 'Attr) 
    op-hook('narrowingSymbol, 'narrowing, nil, 'Attr) 
    op-hook('nonexecSymbol, 'nonexec, nil, 'Attr) 
    op-hook('printSymbol, 'print, 'QidList, 'Attr) 
    op-hook('emptyAttrSetSymbol, 'none, nil, 'AttrSet) 
    op-hook('attrSetSymbol, '__, 'AttrSet 'AttrSet, 'AttrSet) 
    op-hook('opDeclSymbol, 'op_:_->_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'OpDecl) 
    op-hook('opDeclSetSymbol, '__, 'OpDeclSet 'OpDeclSet, 'OpDeclSet) 
    op-hook('emptyOpDeclSetSymbol, 'none, nil, 'OpDeclSet) 
    op-hook('mbSymbol, 'mb_:_`[_`]., 'Term 'Sort 'AttrSet, 'MembAx) 
    op-hook('cmbSymbol, 'cmb_:_if_`[_`]., 'Term 'Sort 'EqCondition 'AttrSet,
    'MembAx) 
    op-hook('emptyMembAxSetSymbol, 'none, nil, 'MembAxSet) 
    op-hook('membAxSetSymbol, '__, 'MembAxSet 'MembAxSet, 'MembAxSet) 
    op-hook('eqSymbol, 'eq_=_`[_`]., 'Term 'Term 'AttrSet, 'Equation) 
    op-hook('ceqSymbol, 'ceq_=_if_`[_`]., 'Term 'Term 'EqCondition 'AttrSet,
    'Equation) 
    op-hook('emptyEquationSetSymbol, 'none, nil, 'EquationSet) 
    op-hook('equationSetSymbol, '__, 'EquationSet 'EquationSet, 'EquationSet) 
    op-hook('rlSymbol, 'rl_=>_`[_`]., 'Term 'Term 'AttrSet, 'Rule) 
    op-hook('crlSymbol, 'crl_=>_if_`[_`]., 'Term 'Term 'Condition 'AttrSet,
    'Rule) 
    op-hook('emptyRuleSetSymbol, 'none, nil, 'RuleSet) 
    op-hook('ruleSetSymbol, '__, 'RuleSet 'RuleSet, 'RuleSet) 
    op-hook('stratDeclSymbol, 'strat_:_@_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'StratDecl) 
    op-hook('emptyStratDeclSetSymbol, 'none, nil, 'StratDeclSet) 
    op-hook('stratDeclSetSymbol, '__, 'StratDeclSet 'StratDeclSet,
    'StratDeclSet) 
    op-hook('sdSymbol, 'sd_:=_`[_`]., 'CallStrategy 'Strategy 'AttrSet,
    'StratDefinition) 
    op-hook('csdSymbol, 'csd_:=_if_`[_`]., 'CallStrategy 'Strategy 'EqCondition
    'AttrSet, 'StratDefinition) 
    op-hook('emptyStratDefSetSymbol, 'none, nil, 'StratDefSet) 
    op-hook('stratDefSetSymbol, '__, 'StratDefSet 'StratDefSet, 'StratDefSet) 
    op-hook('fmodSymbol, 'fmod_is_sorts_.____endfm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FModule) 
    op-hook('fthSymbol, 'fth_is_sorts_.____endfth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FTheory) 
    op-hook('modSymbol, 'mod_is_sorts_._____endm, 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'SModule) 
    op-hook('thSymbol, 'th_is_sorts_._____endth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'STheory) 
    op-hook('smodSymbol, 'smod_is_sorts_._______endsm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratModule) 
    op-hook('sthSymbol, 'sth_is_sorts_._______endsth, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratTheory) 
    op-hook('sortMappingSymbol, 'sort_to_., 'Sort 'Sort, 'SortMapping) 
    op-hook('emptySortMappingSetSymbol, 'none, nil, 'SortMappingSet) 
    op-hook('sortMappingSetSymbol, '__, 'SortMappingSet 'SortMappingSet,
    'SortMappingSet) 
    op-hook('opMappingSymbol, 'op_to_., 'Qid 'Qid, 'OpMapping) 
    op-hook('opSpecificMappingSymbol, 'op_:_->_to_., 'Qid 'TypeList 'Type 'Qid,
    'OpMapping) 
    op-hook('opTermMappingSymbol, 'op_to`term_., 'Term 'Term, 'OpMapping) 
    op-hook('emptyOpMappingSetSymbol, 'none, nil, 'OpMappingSet) 
    op-hook('opMappingSetSymbol, '__, 'OpMappingSet 'OpMappingSet,
    'OpMappingSet) 
    op-hook('stratMappingSymbol, 'strat_to_., 'Qid 'Qid, 'StratMapping) 
    op-hook('stratSpecificMappingSymbol, 'strat_:_@_to_., 'Qid 'TypeList 'Type
    'Qid, 'StratMapping) 
    op-hook('stratExprMappingSymbol, 'strat_to`expr_., 'CallStrategy 'Strategy,
    'StratMapping) 
    op-hook('emptyStratMappingSetSymbol, 'none, nil, 'StratMappingSet) 
    op-hook('stratMappingSetSymbol, '__, 'StratMappingSet 'StratMappingSet,
    'StratMappingSet) 
    op-hook('viewSymbol, 'view_from_to_is___endv, 'Header 'ModuleExpression
    'ModuleExpression 'SortMappingSet 'OpMappingSet 'StratMappingSet, 'View) 
    op-hook('anyTypeSymbol, 'anyType, nil, 'Type?) 
    op-hook('unificandPairSymbol, '_=?_, 'Term 'Term, 'UnificandPair) 
    op-hook('unificationConjunctionSymbol, '_/\_, 'UnificationProblem
    'UnificationProblem, 'UnificationProblem) 
    op-hook('patternSubjectPairSymbol, '_<=?_, 'Term 'Term,
    'PatternSubjectPair) 
    op-hook('matchingConjunctionSymbol, '_/\_, 'MatchingProblem
    'MatchingProblem, 'MatchingProblem) 
    op-hook('resultPairSymbol, '`{_`,_`}, 'Term 'Type, 'ResultPair) 
    op-hook('resultTripleSymbol, '`{_`,_`,_`}, 'Term 'Type 'Substitution,
    'ResultTriple) 
    op-hook('result4TupleSymbol, '`{_`,_`,_`,_`}, 'Term 'Type 'Substitution
    'Context, 'Result4Tuple) 
    op-hook('matchPairSymbol, '`{_`,_`}, 'Substitution 'Context, 'MatchPair) 
    op-hook('unificationTripleSymbol, '`{_`,_`,_`}, 'Substitution 'Substitution
    'Qid, 'UnificationTriple) 
    op-hook('variantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Qid
    'Parent 'Bool, 'Variant) 
    op-hook('narrowingApplyResultSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Context 'Qid 'Substitution 'Substitution 'Qid, 'NarrowingApplyResult) 
    op-hook('narrowingSearchResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Substitution 'Qid 'Substitution 'Qid, 'NarrowingSearchResult) 
    op-hook('traceStepSymbol, '`{_`,_`,_`}, 'Term 'Type 'Rule, 'TraceStep) 
    op-hook('nilTraceSymbol, 'nil, nil, 'Trace) 
    op-hook('traceSymbol, '__, 'Trace 'Trace, 'Trace) 
    op-hook('narrowingStepSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Context 'Qid
    'Substitution 'Qid 'Term 'Type 'Substitution, 'NarrowingStep) 
    op-hook('nilNarrowingTraceSymbol, 'nil, nil, 'NarrowingTrace) 
    op-hook('narrowingTraceSymbol, '__, 'NarrowingTrace 'NarrowingTrace,
    'NarrowingTrace) 
    op-hook('narrowingSearchPathResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term
    'Type 'Substitution 'NarrowingTrace 'Substitution 'Qid,
    'NarrowingSearchPathResult) 
    op-hook('smtResultSymbol, '`{_`,_`,_`,_`}, 'Term 'Substitution 'Term 'Nat,
    'SmtResult) 
    op-hook('noParseSymbol, 'noParse, 'Nat, 'ResultPair?) 
    op-hook('ambiguitySymbol, 'ambiguity, 'ResultPair 'ResultPair,
    'ResultPair?) 
    op-hook('failure2Symbol, 'failure, nil, 'ResultPair?) 
    op-hook('failure3Symbol, 'failure, nil, 'ResultTriple?) 
    op-hook('failureIncomplete3Symbol, 'failureIncomplete, nil, 'ResultTriple?)
    
    op-hook('failure4Symbol, 'failure, nil, 'Result4Tuple?) 
    op-hook('noUnifierPairSymbol, 'noUnifier, nil, 'UnificationPair?) 
    op-hook('noUnifierTripleSymbol, 'noUnifier, nil, 'UnificationTriple?) 
    op-hook('noUnifierIncompletePairSymbol, 'noUnifierIncomplete, nil,
    'UnificationPair?) 
    op-hook('noUnifierIncompleteTripleSymbol, 'noUnifierIncomplete, nil,
    'UnificationTriple?) 
    op-hook('noVariantSymbol, 'noVariant, nil, 'Variant?) 
    op-hook('noVariantIncompleteSymbol, 'noVariantIncomplete, nil, 'Variant?) 
    op-hook('narrowingApplyFailureSymbol, 'failure, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingApplyFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingSearchFailureSymbol, 'failure, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchPathFailureSymbol, 'failure, nil,
    'NarrowingSearchPathResult?) 
    op-hook('narrowingSearchPathFailureIncompleteSymbol, 'failureIncomplete,
    nil, 'NarrowingSearchPathResult?) 
    op-hook('noMatchSubstSymbol, 'noMatch, nil, 'Substitution?) 
    op-hook('noMatchIncompleteSubstSymbol, 'noMatchIncomplete, nil,
    'Substitution?) 
    op-hook('noMatchPairSymbol, 'noMatch, nil, 'MatchPair?) 
    op-hook('failureTraceSymbol, 'failure, nil, 'Trace?) 
    op-hook('smtFailureSymbol, 'failure, nil, 'SmtResult?) 
    op-hook('noStratParseSymbol, 'noStratParse, 'Nat, 'Strategy?) 
    op-hook('stratAmbiguitySymbol, 'ambiguity, 'Strategy 'Strategy, 'Strategy?)
    
    op-hook('mixfixSymbol, 'mixfix, nil, 'PrintOption) 
    op-hook('withParensSymbol, 'with-parens, nil, 'PrintOption) 
    op-hook('withSortsSymbol, 'with-sorts, nil, 'PrintOption) 
    op-hook('flatSymbol, 'flat, nil, 'PrintOption) 
    op-hook('formatPrintOptionSymbol, 'format, nil, 'PrintOption) 
    op-hook('numberSymbol, 'number, nil, 'PrintOption) 
    op-hook('ratSymbol, 'rat, nil, 'PrintOption) 
    op-hook('emptyPrintOptionSetSymbol, 'none, nil, 'PrintOptionSet) 
    op-hook('printOptionSetSymbol, '__, 'PrintOptionSet 'PrintOptionSet,
    'PrintOptionSet) 
    op-hook('delaySymbol, 'delay, nil, 'VariantOption) 
    op-hook('filterSymbol, 'filter, nil, 'VariantOption) 
    op-hook('emptyVariantOptionSetSymbol, 'none, nil, 'VariantOptionSet) 
    op-hook('variantOptionSetSymbol, '__, 'VariantOptionSet 'VariantOptionSet,
    'VariantOptionSet) 
    op-hook('breadthFirstSymbol, 'breadthFirst, nil, 'SrewriteOption) 
    op-hook('depthFirstSymbol, 'depthFirst, nil, 'SrewriteOption) 
    op-hook('legacyUnificationPairSymbol, '`{_`,_`}, 'Substitution 'Nat,
    'UnificationPair) 
    op-hook('legacyUnificationTripleSymbol, '`{_`,_`,_`}, 'Substitution
    'Substitution 'Nat, 'UnificationTriple) 
    op-hook('legacyVariantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Nat
    'Parent 'Bool, 'Variant) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op 'metaRewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaRewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSearchPath : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Trace?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSmtSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[SmtResult?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSmtSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[StrategyList`,Strategy?`]
    '`[SrewriteOption`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [none] .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantMatch : '`[Module`] '`[MatchingProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [none] .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaXapply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Result4Tuple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXapply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaXmatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXmatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metadata : 'String -> 'Attr [ctor] .
  op 'min : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'minimalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMinimalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'mixfix : nil -> 'PrintOption [ctor] .
  op 'modExp : '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[FindResult`,NatList`,Bound`,Parent`] [special(
    id-hook('NumberOpSymbol, 'modExp) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'mod_is_sorts_._____endm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet -> 'SModule [ctor gather('& '&
    '& '& '& '& '& '&) format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni
    'n--i 'd)] .
  op 'msg : nil -> 'Attr [ctor] .
  op 'narrowing : nil -> 'Attr [ctor] .
  op 'nil : nil -> 'EqCondition [ctor] .
  op 'nil : nil -> 'HookList [ctor] .
  op 'nil : nil -> 'ImportList [ctor] .
  op 'nil : nil -> 'NarrowingTrace [ctor] .
  op 'nil : nil -> 'NatList [ctor] .
  op 'nil : nil -> 'ParameterDeclList [ctor] .
  op 'nil : nil -> 'QidList [ctor] .
  op 'nil : nil -> 'Trace [ctor] .
  op 'nil : nil -> 'TypeList [ctor] .
  op 'noMatch : nil -> 'MatchPair? [ctor] .
  op 'noMatch : nil -> 'Substitution? [ctor] .
  op 'noMatchIncomplete : nil -> 'Substitution? [ctor] .
  op 'noParse : 'Nat -> 'ResultPair? [ctor] .
  op 'noStratParse : 'Nat -> 'Strategy? [ctor] .
  op 'noUnifier : nil -> 'UnificationPair? [ctor] .
  op 'noUnifier : nil -> 'UnificationTriple? [ctor] .
  op 'noUnifierIncomplete : nil -> 'UnificationPair? [ctor] .
  op 'noUnifierIncomplete : nil -> 'UnificationTriple? [ctor] .
  op 'noVariant : nil -> 'Variant? [ctor] .
  op 'noVariantIncomplete : nil -> 'Variant? [ctor] .
  op 'none : nil -> 'AttrSet [ctor] .
  op 'none : nil -> 'EmptyQidSet [ctor] .
  op 'none : nil -> 'EquationSet [ctor] .
  op 'none : nil -> 'MembAxSet [ctor] .
  op 'none : nil -> 'OpDeclSet [ctor] .
  op 'none : nil -> 'OpMappingSet [ctor] .
  op 'none : nil -> 'Parent [none] .
  op 'none : nil -> 'PrintOptionSet [ctor] .
  op 'none : nil -> 'QidSet [ctor] .
  op 'none : nil -> 'RuleSet [ctor] .
  op 'none : nil -> 'SortMappingSet [ctor] .
  op 'none : nil -> 'StratDeclSet [ctor] .
  op 'none : nil -> 'StratDefSet [ctor] .
  op 'none : nil -> 'StratMappingSet [ctor] .
  op 'none : nil -> 'SubsortDeclSet [ctor] .
  op 'none : nil -> 'Substitution [ctor] .
  op 'none : nil -> 'VariantOptionSet [ctor] .
  op 'nonexec : nil -> 'Attr [ctor] .
  op 'not : 'Strategy -> 'Strategy [ctor] .
  op 'notFound : nil -> 'FindResult [ctor] .
  op 'not_ : 'Bool -> 'Bool [prec(53)] .
  op 'number : nil -> 'PrintOption [ctor] .
  op 'object : nil -> 'Attr [ctor] .
  op 'occurs : 'Nat 'NatList -> 'Bool [none] .
  op 'occurs : 'Qid 'QidList -> 'Bool [none] .
  op 'one : 'Strategy -> 'Strategy [ctor] .
  op 'op-hook : 'Qid 'Qid 'QidList 'Qid -> 'Hook [ctor format('nssss 'd)] .
  op 'op_:_->_`[_`]. : 'Qid 'TypeList 'Type 'AttrSet -> 'OpDecl [ctor format('d
    'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'op_:_->_to_. : 'Qid 'TypeList 'Type 'Qid -> 'OpMapping [ctor] .
  op 'op_:_->_to_`[_`] : 'Qid 'TypeList 'Type 'Qid 'AttrSet -> 'Renaming [ctor
    format('d 'd 'd 'd 'd 'd 'd 'd 's 'd 'd 'd)] .
  op 'op_to_. : 'Qid 'Qid -> 'OpMapping [ctor] .
  op 'op_to_`[_`] : 'Qid 'Qid 'AttrSet -> 'Renaming [ctor format('d 'd 'd 'd 's
    'd 'd 'd)] .
  op 'op_to`term_. : 'Term 'Term -> 'OpMapping [ctor] .
  op 'owise : nil -> 'Attr [ctor] .
  op 'pconst : nil -> 'Attr [ctor] .
  op 'poly : 'NeNatList -> 'Attr [ctor] .
  op 'portal : nil -> 'Attr [ctor] .
  op 'prec : 'Nat -> 'Attr [ctor] .
  op 'print : 'QidList -> 'Attr [ctor] .
  op 'protecting_. : 'ModuleExpression -> 'Import [ctor] .
  op 'qid : '`[String`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('QuotedIdentifierOpSymbol, 'qid) 
    op-hook('quotedIdentifierSymbol, '<Qids>, nil, 'Qid) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'rat : nil -> 'PrintOption [ctor] .
  op 'reverse : 'NatList -> 'NatList [none] .
  op 'reverse : 'NeNatList -> 'NeNatList [none] .
  op 'reverse : 'NeQidList -> 'NeQidList [none] .
  op 'reverse : 'QidList -> 'QidList [none] .
  op 'rfind : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'rfind) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
  op 'right-id : 'Term -> 'Attr [ctor] .
  op 'rl_=>_`[_`]. : 'Term 'Term 'AttrSet -> 'Rule [ctor format('d 'd 'd 'd 's
    'd 'd 's 'd)] .
  op 's_ : 'Nat -> 'NzNat [iter ctor special(
    id-hook('SuccSymbol, nil) 
    term-hook('zeroTerm, '0.Zero))] .
  op 'sameKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSameKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'sd : 'Nat 'Nat -> 'Nat [comm special(
    id-hook('CUI_NumberOpSymbol, 'sd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'sd_:=_`[_`]. : 'CallStrategy 'Strategy 'AttrSet -> 'StratDefinition [ctor
    format('d 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'size : 'NatList -> 'Nat [none] .
  op 'size : 'NeNatList -> 'NzNat [none] .
  op 'size : 'NeQidList -> 'NzNat [none] .
  op 'size : 'QidList -> 'Nat [none] .
  op 'smod_is_sorts_._______endsm : 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet 'StratDeclSet
    'StratDefSet -> 'StratModule [ctor gather('& '& '& '& '& '& '& '& '& '&)
    format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'sortLeq : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSortLeq) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'sort_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
  op 'sort_to_. : 'Sort 'Sort -> 'SortMapping [ctor] .
  op 'special : 'NeHookList -> 'Attr [ctor] .
  op 'sth_is_sorts_._______endsth : 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet 'StratDeclSet
    'StratDefSet -> 'StratTheory [ctor gather('& '& '& '& '& '& '& '& '& '&)
    format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'strat : 'NeNatList -> 'Attr [ctor] .
  op 'strat_:_@_`[_`]. : 'Qid 'TypeList 'Type 'AttrSet -> 'StratDecl [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'strat_:_@_to_ : 'Qid 'TypeList 'Type 'Qid -> 'Renaming [ctor] .
  op 'strat_:_@_to_. : 'Qid 'TypeList 'Type 'Qid -> 'StratMapping [ctor] .
  op 'strat_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
  op 'strat_to_. : 'Qid 'Qid -> 'StratMapping [ctor] .
  op 'strat_to`expr_. : 'CallStrategy 'Strategy -> 'StratMapping [ctor] .
  op 'string : 'Qid -> 'String [special(
    id-hook('QuotedIdentifierOpSymbol, 'string) 
    op-hook('quotedIdentifierSymbol, '<Qids>, nil, 'Qid) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'subsort_<_. : 'Sort 'Sort -> 'SubsortDecl [ctor] .
  op 'substr : 'String 'Nat 'Nat -> 'String [special(
    id-hook('StringOpSymbol, 'substr) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'tail : 'NeNatList -> 'NatList [none] .
  op 'tail : 'NeQidList -> 'QidList [none] .
  op 'term-hook : 'Qid 'Term -> 'Hook [ctor format('nssss 'd)] .
  op 'test : 'Strategy -> 'Strategy [ctor] .
  op 'th_is_sorts_._____endth : 'Qid 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet -> 'STheory [ctor gather('& '&
    '& '& '& '& '& '&) format('d 'd 'd 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni
    'n--i 'd)] .
  op 'top : 'RuleApplication -> 'Strategy [ctor] .
  op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
  op 'try : 'Strategy -> 'Strategy [ctor] .
  op 'unbounded : nil -> 'Bound [ctor] .
  op 'union : 'NeQidSet 'QidSet -> 'NeQidSet [none] .
  op 'union : 'QidSet 'NeQidSet -> 'NeQidSet [none] .
  op 'union : 'QidSet 'QidSet -> 'QidSet [none] .
  op 'upEqs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[EquationSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpEqs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upImports : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ImportList`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpImports) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upMbs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[MembAxSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpMbs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upModule : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[Module`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upOpDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[OpDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpOpDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upRls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[RuleSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpRls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSds : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDefSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSorts : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upStratDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpStratDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSubsortDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[SubsortDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSubsortDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upTerm : 'Universal -> 'Term [poly(1) special(
    id-hook('MetaLevelOpSymbol, 'metaUpTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upView : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[View`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpView) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upperCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'upperCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'variant : nil -> 'Attr [ctor] .
  op 'view_from_to_is___endv : 'Header 'ModuleExpression 'ModuleExpression
    'SortMappingSet 'OpMappingSet 'StratMappingSet -> 'View [ctor gather('& '&
    '& '& '& '&) format('d 'd 'd 'd 'd 'd 'd 'n++i 'ni 'ni 'n--i 'd)] .
  op 'wellFormed : 'Module -> 'Bool [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : '`[Module`] '`[Substitution?`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedSubstitution) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'with-parens : nil -> 'PrintOption [ctor] .
  op 'with-sorts : nil -> 'PrintOption [ctor] .
  op 'xmatch_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
  op 'xmatchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor]
    .
  op '|_| : 'NeQidSet -> 'NzNat [none] .
  op '|_| : 'QidSet -> 'Nat [none] .
  none
  eq '$applySubstitution['Q:Qid, 'S:Substitution] = 'Q:Qid [owise] .
  eq '$applySubstitution['V:Variable, '_;_['S:Substitution, '_<-_['V:Variable,
    'T:Term]]] = 'T:Term [none] .
  eq '$applySubstitution['_`,_['T:Term, 'TL:NeTermList], 'S:Substitution] =
    '_`,_['$applySubstitution['T:Term, 'S:Substitution], '$applySubstitution[
    'TL:NeTermList, 'S:Substitution]] [none] .
  eq '$applySubstitution['_`[_`]['Q:Qid, 'TL:NeTermList], 'S:Substitution] =
    '_`[_`]['Q:Qid, '$applySubstitution['TL:NeTermList, 'S:Substitution]] [
    none] .
  eq '$card['none.EmptyQidSet, 'C:Nat] = 'C:Nat [none] .
  eq '$card['_;_['E:Qid, 'S:QidSet], 'C:Nat] = '$card['S:QidSet, '_+_['C:Nat,
    's_['0.Zero]]] [owise] .
  eq '$card['_;_['N:NeQidSet, 'N:NeQidSet, 'S:QidSet], 'C:Nat] = '$card['_;_[
    'N:NeQidSet, 'S:QidSet], 'C:Nat] [none] .
  eq '$diff['none.EmptyQidSet, 'S':QidSet, 'A:QidSet] = 'A:QidSet [none] .
  eq '$diff['_;_['E:Qid, 'S:QidSet], 'S':QidSet, 'A:QidSet] = '$diff['S:QidSet,
    'S':QidSet, 'if_then_else_fi['_in_['E:Qid, 'S':QidSet], 'A:QidSet, '_;_[
    'E:Qid, 'A:QidSet]]] [none] .
  eq '$intersect['none.EmptyQidSet, 'S':QidSet, 'A:QidSet] = 'A:QidSet [none] .
  eq '$intersect['_;_['E:Qid, 'S:QidSet], 'S':QidSet, 'A:QidSet] = '$intersect[
    'S:QidSet, 'S':QidSet, 'if_then_else_fi['_in_['E:Qid, 'S':QidSet], '_;_[
    'E:Qid, 'A:QidSet], 'A:QidSet]] [none] .
  eq '$reverse['nil.NatList, 'A:NatList] = 'A:NatList [none] .
  eq '$reverse['nil.TypeList, 'A:QidList] = 'A:QidList [none] .
  eq '$reverse['__['E:Nat, 'L:NatList], 'A:NatList] = '$reverse['L:NatList,
    '__['E:Nat, 'A:NatList]] [none] .
  eq '$reverse['__['E:Qid, 'L:QidList], 'A:QidList] = '$reverse['L:QidList,
    '__['E:Qid, 'A:QidList]] [none] .
  eq '$size['nil.NatList, 'C:Nat] = 'C:Nat [none] .
  eq '$size['nil.TypeList, 'C:Nat] = 'C:Nat [none] .
  eq '$size['__['E:Nat, 'L:NatList], 'C:Nat] = '$size['L:NatList, '_+_['C:Nat,
    's_['0.Zero]]] [none] .
  eq '$size['__['E:Qid, 'L:QidList], 'C:Nat] = '$size['L:QidList, '_+_['C:Nat,
    's_['0.Zero]]] [none] .
  eq '_;_['A:Assignment, 'A:Assignment] = 'A:Assignment [none] .
  eq '_;_['N:NeQidSet, 'N:NeQidSet] = 'N:NeQidSet [none] .
  eq '_;_['T:TypeList, 'T:TypeList] = 'T:TypeList [none] .
  eq '_\_['S:QidSet, 'N:NeQidSet] = '$diff['S:QidSet, 'N:NeQidSet,
    'none.EmptyQidSet] [none] .
  eq '_\_['S:QidSet, 'none.EmptyQidSet] = 'S:QidSet [none] .
  eq '__['A:Attr, 'A:Attr] = 'A:Attr [none] .
  eq '__['D:StratDefinition, 'D:StratDefinition] = 'D:StratDefinition [none] .
  eq '__['E:Equation, 'E:Equation] = 'E:Equation [none] .
  eq '__['M:MembAx, 'M:MembAx] = 'M:MembAx [none] .
  eq '__['O:OpDecl, 'O:OpDecl] = 'O:OpDecl [none] .
  eq '__['O:OpMapping, 'O:OpMapping] = 'O:OpMapping [none] .
  eq '__['O:StratDecl, 'O:StratDecl] = 'O:StratDecl [none] .
  eq '__['R:Rule, 'R:Rule] = 'R:Rule [none] .
  eq '__['S:SortMapping, 'S:SortMapping] = 'S:SortMapping [none] .
  eq '__['S:StratMapping, 'S:StratMapping] = 'S:StratMapping [none] .
  eq '__['S:SubsortDecl, 'S:SubsortDecl] = 'S:SubsortDecl [none] .
  eq '_`,_['U:UsingPair, 'U:UsingPair] = 'U:UsingPair [none] .
  eq '_and-then_['false.Bool, 'B:`[Bool`]] = 'false.Bool [none] .
  eq '_and-then_['true.Bool, 'B:`[Bool`]] = 'B:`[Bool`] [none] .
  eq '_and_['A:Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_and_['A:Bool, '_xor_['B:Bool, 'C:Bool]] = '_xor_['_and_['A:Bool,
    'B:Bool], '_and_['A:Bool, 'C:Bool]] [none] .
  eq '_and_['false.Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_and_['true.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_implies_['A:Bool, 'B:Bool] = 'not_['_xor_['A:Bool, '_and_['A:Bool,
    'B:Bool]]] [none] .
  eq '_in_['E:Qid, 'S:QidSet] = 'false.Bool [owise] .
  eq '_in_['E:Qid, '_;_['E:Qid, 'S:QidSet]] = 'true.Bool [none] .
  eq '_or-else_['false.Bool, 'B:`[Bool`]] = 'B:`[Bool`] [none] .
  eq '_or-else_['true.Bool, 'B:`[Bool`]] = 'true.Bool [none] .
  eq '_or_['A:Bool, 'B:Bool] = '_xor_['_and_['A:Bool, 'B:Bool], '_xor_['A:Bool,
    'B:Bool]] [none] .
  eq '_psubset_['S:QidSet, 'S':QidSet] = '_and-then_['_=/=_['S:QidSet,
    'S':QidSet], '_subset_['S:QidSet, 'S':QidSet]] [none] .
  eq '_subset_['none.EmptyQidSet, 'S':QidSet] = 'true.Bool [none] .
  eq '_subset_['_;_['E:Qid, 'S:QidSet], 'S':QidSet] = '_and-then_['_in_['E:Qid,
    'S':QidSet], '_subset_['S:QidSet, 'S':QidSet]] [none] .
  eq '_xor_['A:Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_xor_['false.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '`[_`]['Q:Qid] = 'sth_is_sorts_._______endsth['Q:Qid, 'including_.[
    'Q:Qid], 'none.EmptyQidSet, 'none.SubsortDeclSet, 'none.OpDeclSet,
    'none.MembAxSet, 'none.EquationSet, 'none.RuleSet, 'none.StratDeclSet,
    'none.StratDefSet] [none] .
  eq 'append['A:NatList, 'L:NatList] = '__['A:NatList, 'L:NatList] [none] .
  eq 'append['A:QidList, 'L:QidList] = '__['A:QidList, 'L:QidList] [none] .
  eq 'applySubstitution['M:Module, 'T:Term, 'S:Substitution] = 'getTerm[
    'metaNormalize['M:Module, '$applySubstitution['T:Term, 'S:Substitution]]] [
    none] .
  eq 'delete['E:Qid, 'S:QidSet] = 'S:QidSet [owise] .
  eq 'delete['E:Qid, '_;_['E:Qid, 'S:QidSet]] = 'delete['E:Qid, 'S:QidSet] [
    none] .
  eq 'front['__['L:NatList, 'E:Nat]] = 'L:NatList [none] .
  eq 'front['__['L:QidList, 'E:Qid]] = 'L:QidList [none] .
  eq 'getAccumulatedSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid,
    'U:Substitution, 'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] =
    'A:Substitution [none] .
  eq 'getAccumulatedSubstitution['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'A:Substitution [
    none] .
  eq 'getContext['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'C:Context]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`}['S:Substitution, 'C:Context]] = 'C:Context [none] .
  eq 'getEqs['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'EQS:EquationSet [none] .
  eq 'getEqs['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'EQS:EquationSet [none] .
  eq 'getEqs['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'EQS:EquationSet [none] .
  eq 'getEqs['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'EQS:EquationSet [none] .
  eq 'getEqs['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'EQS:EquationSet [
    none] .
  eq 'getEqs['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'EQS:EquationSet [none] .
  eq 'getFrom['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'ME:ModuleExpression [none] .
  eq 'getImports['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'IL:ImportList [none] .
  eq 'getImports['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'IL:ImportList [none] .
  eq 'getImports['mod_is_sorts_._____endm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet]] = 'IL:ImportList [none] .
  eq 'getImports['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'IL:ImportList [none] .
  eq 'getImports['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'IL:ImportList [none] .
  eq 'getImports['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'IL:ImportList [none] .
  eq 'getInitialSubstitution['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'S:Substitution, 'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] =
    'S:Substitution [none] .
  eq 'getInitialTerm['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:Term [none] .
  eq 'getInitialType['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:Type [none] .
  eq 'getLabel['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'L:Qid [none] .
  eq 'getLabel['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'L:Qid [none] .
  eq 'getLhsSubstitution['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'LS:Substitution [none] .
  eq 'getMbs['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'MAS:MembAxSet [none] .
  eq 'getMbs['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'MAS:MembAxSet [none] .
  eq 'getMbs['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'MAS:MembAxSet [none] .
  eq 'getMbs['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'MAS:MembAxSet [none] .
  eq 'getMbs['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'MAS:MembAxSet [
    none] .
  eq 'getMbs['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'MAS:MembAxSet [none] .
  eq 'getMoreVariantsInLayerFlag['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution,
    'Q:Qid, 'P:Parent, 'B:Bool]] = 'B:Bool [none] .
  eq 'getName['C:Constant] = 'qid['substr['string['C:Constant], '0.Zero,
    'rfind['string['C:Constant], '".".Char, 'length['string['C:Constant]]]]] [
    none] .
  eq 'getName['V:Variable] = 'qid['substr['string['V:Variable], '0.Zero,
    'rfind['string['V:Variable], '":".Char, 'length['string['V:Variable]]]]] [
    none] .
  eq 'getName['fmod_is_sorts_.____endfm['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'Q:Qid [none] .
  eq 'getName['fmod_is_sorts_.____endfm['_`{_`}['Q:Qid,
    'PDL:ParameterDeclList], 'IL:ImportList, 'SS:SortSet, 'SSDS:SubsortDeclSet,
    'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] = 'Q:Qid [none] .
  eq 'getName['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'Q:Qid [none] .
  eq 'getName['mod_is_sorts_._____endm['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'Q:Qid [none] .
  eq 'getName['mod_is_sorts_._____endm['_`{_`}['Q:Qid, 'PDL:ParameterDeclList],
    'IL:ImportList, 'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet,
    'MAS:MembAxSet, 'EQS:EquationSet, 'RLS:RuleSet]] = 'Q:Qid [none] .
  eq 'getName['smod_is_sorts_._______endsm['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'Q:Qid [none] .
  eq 'getName['smod_is_sorts_._______endsm['_`{_`}['Q:Qid,
    'PDL:ParameterDeclList], 'IL:ImportList, 'SS:SortSet, 'SSDS:SubsortDeclSet,
    'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet, 'RLS:RuleSet,
    'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'Q:Qid [none] .
  eq 'getName['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'Q:Qid [none] .
  eq 'getName['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'Q:Qid [none] .
  eq 'getName['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'Q:Qid [none] .
  eq 'getName['view_from_to_is___endv['_`{_`}['Q:Qid, 'PDL:ParameterDeclList],
    'ME:ModuleExpression, 'ME':ModuleExpression, 'SMS:SortMappingSet,
    'OMS:OpMappingSet, 'TMS:StratMappingSet]] = 'Q:Qid [none] .
  eq 'getOpMappings['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'OMS:OpMappingSet [none] .
  eq 'getOps['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'OPDS:OpDeclSet [none] .
  eq 'getOps['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'OPDS:OpDeclSet [none] .
  eq 'getOps['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'OPDS:OpDeclSet [none] .
  eq 'getOps['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'OPDS:OpDeclSet [none] .
  eq 'getOps['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'OPDS:OpDeclSet [
    none] .
  eq 'getOps['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'OPDS:OpDeclSet [none] .
  eq 'getParent['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid, 'P:Parent,
    'B:Bool]] = 'P:Parent [none] .
  eq 'getRhsSubstitution['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'RS:Substitution [none] .
  eq 'getRls['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.RuleSet [none] .
  eq 'getRls['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.RuleSet [none] .
  eq 'getRls['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'RLS:RuleSet [none] .
  eq 'getRls['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'RLS:RuleSet [none] .
  eq 'getRls['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'RLS:RuleSet [
    none] .
  eq 'getRls['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'RLS:RuleSet [none] .
  eq 'getRule['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'R:Rule [none] .
  eq 'getRuleSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'C:Context, 'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] =
    'RS:Substitution [none] .
  eq 'getSds['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.StratDefSet [none] .
  eq 'getSds['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.StratDefSet [none] .
  eq 'getSds['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'none.StratDefSet [none] .
  eq 'getSds['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'STDFS:StratDefSet [none] .
  eq 'getSds['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'STDFS:StratDefSet
    [none] .
  eq 'getSds['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'none.StratDefSet [none] .
  eq 'getSortMappings['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'SMS:SortMappingSet [none] .
  eq 'getSorts['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'SS:SortSet [none] .
  eq 'getSorts['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'SS:SortSet [none] .
  eq 'getSorts['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'SS:SortSet [none] .
  eq 'getSorts['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SS:SortSet [none] .
  eq 'getSorts['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SS:SortSet [none] .
  eq 'getSorts['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'SS:SortSet [none] .
  eq 'getStateVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'SV:Qid [none] .
  eq 'getStratMappings['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'TMS:StratMappingSet [none] .
  eq 'getStrats['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'none.StratDeclSet [none] .
  eq 'getStrats['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.StratDeclSet [none] .
  eq 'getStrats['mod_is_sorts_._____endm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet]] = 'none.StratDeclSet [none] .
  eq 'getStrats['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'STDS:StratDeclSet [none] .
  eq 'getStrats['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'STDS:StratDeclSet [none] .
  eq 'getStrats['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'none.StratDeclSet [none] .
  eq 'getSubsorts['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['mod_is_sorts_._____endm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubstitution['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid,
    'P:Parent, 'B:Bool]] = 'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'C:Context]] = 'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] =
    'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`}['S:Substitution, 'C:Context]] = 'S:Substitution
    [none] .
  eq 'getSubstitution['`{_`,_`}['S:Substitution, 'V:Qid]] = 'S:Substitution [
    none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution, 'SV:Qid,
    'U:Substitution, 'UV:Qid]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid, 'P:Parent,
    'B:Bool]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution, 'C:Context]] =
    'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] = 'T:Term [none]
    .
  eq 'getTerm['`{_`,_`}['T:Term, 'T:Type]] = 'T:Term [none] .
  eq 'getTermSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'C:Context, 'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] =
    'TS:Substitution [none] .
  eq 'getTo['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'ME':ModuleExpression [none] .
  eq 'getTrace['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:NarrowingTrace [none] .
  eq 'getType['C:Constant] = 'qid['substr['string['C:Constant], '_+_['s_[
    '0.Zero], 'rfind['string['C:Constant], '".".Char, 'length['string[
    'C:Constant]]]], 'length['string['C:Constant]]]] [none] .
  eq 'getType['V:Variable] = 'qid['substr['string['V:Variable], '_+_['s_[
    '0.Zero], 'rfind['string['V:Variable], '":".Char, 'length['string[
    'V:Variable]]]], 'length['string['V:Variable]]]] [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution, 'SV:Qid,
    'U:Substitution, 'UV:Qid]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution, 'C:Context]] =
    'T:Type [none] .
  eq 'getType['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] = 'T:Type [none]
    .
  eq 'getType['`{_`,_`}['T:Term, 'T:Type]] = 'T:Type [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'U:Substitution [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution,
    'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'U:Substitution [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'U:Substitution [none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid,
    'U:Substitution, 'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'UV:Qid [
    none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'UV:Qid [none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'S:Substitution, 'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'UV:Qid [
    none] .
  eq 'getVariableFamily['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context,
    'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'V:Qid [none] .
  eq 'getVariableFamily['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid,
    'P:Parent, 'B:Bool]] = 'Q:Qid [none] .
  eq 'getVariableFamily['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'V:Qid [none] .
  eq 'getVariableFamily['`{_`,_`}['S:Substitution, 'V:Qid]] = 'V:Qid [none] .
  eq 'head['__['E:Nat, 'L:NatList]] = 'E:Nat [none] .
  eq 'head['__['E:Qid, 'L:QidList]] = 'E:Qid [none] .
  eq 'insert['E:Qid, 'S:QidSet] = '_;_['E:Qid, 'S:QidSet] [none] .
  eq 'intersection['S:QidSet, 'N:NeQidSet] = '$intersect['S:QidSet,
    'N:NeQidSet, 'none.EmptyQidSet] [none] .
  eq 'intersection['S:QidSet, 'none.EmptyQidSet] = 'none.EmptyQidSet [none] .
  eq 'last['__['L:NatList, 'E:Nat]] = 'E:Nat [none] .
  eq 'last['__['L:QidList, 'E:Qid]] = 'E:Qid [none] .
  eq 'metaNarrowingApply['M:Module, 'T:Term, 'TL:TermList, 'Q:Qid, 'N:Nat] =
    'metaNarrowingApply['M:Module, 'T:Term, 'TL:TermList, 'Q:Qid,
    'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaNarrowingSearch['M:Module, 'T:Term, 'T2:Term, 'S:Qid, 'B:Bound,
    'F:Qid, 'N:Nat] = 'metaNarrowingSearch['M:Module, 'T:Term, 'T2:Term,
    'S:Qid, 'B:Bound, 'F:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaNarrowingSearchPath['M:Module, 'T:Term, 'T2:Term, 'S:Qid, 'B:Bound,
    'F:Qid, 'N:Nat] = 'metaNarrowingSearchPath['M:Module, 'T:Term, 'T2:Term,
    'S:Qid, 'B:Bound, 'F:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaParse['M:Module, 'Q:QidList, 'T:Type?] = 'metaParse['M:Module,
    'none.EmptyQidSet, 'Q:QidList, 'T:Type?] [none] .
  eq 'metaPrettyPrint['M:Module, 'T:Term] = 'metaPrettyPrint['M:Module,
    'none.EmptyQidSet, 'T:Term, '__['mixfix.PrintOption, '__['flat.PrintOption,
    '__['format.PrintOption, '__['number.PrintOption, 'rat.PrintOption]]]],
    'none.EmptyQidSet] [none] .
  eq 'metaPrettyPrint['M:Module, 'T:Term, 'P:PrintOptionSet] =
    'metaPrettyPrint['M:Module, 'none.EmptyQidSet, 'T:Term, 'P:PrintOptionSet,
    'none.EmptyQidSet] [none] .
  eq 'metaPrettyPrint['M:Module, 'VS:VariableSet, 'T:Term, 'P:PrintOptionSet] =
    'metaPrettyPrint['M:Module, 'VS:VariableSet, 'T:Term, 'P:PrintOptionSet,
    'none.EmptyQidSet] [none] .
  eq 'metaVariantDisjointUnify['M:Module, 'U:UnificationProblem, 'TL:TermList,
    'Q:Qid, 'N:Nat] = 'metaVariantDisjointUnify['M:Module,
    'U:UnificationProblem, 'TL:TermList, 'Q:Qid, 'none.VariantOptionSet,
    'N:Nat] [none] .
  eq 'metaVariantUnify['M:Module, 'U:UnificationProblem, 'TL:TermList, 'Q:Qid,
    'N:Nat] = 'metaVariantUnify['M:Module, 'U:UnificationProblem, 'TL:TermList,
    'Q:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'not_['A:Bool] = '_xor_['true.Bool, 'A:Bool] [none] .
  eq 'occurs['E:Nat, 'nil.NatList] = 'false.Bool [none] .
  eq 'occurs['E:Nat, '__['E':Nat, 'L:NatList]] = 'if_then_else_fi['_==_['E:Nat,
    'E':Nat], 'true.Bool, 'occurs['E:Nat, 'L:NatList]] [none] .
  eq 'occurs['E:Qid, 'nil.TypeList] = 'false.Bool [none] .
  eq 'occurs['E:Qid, '__['E':Qid, 'L:QidList]] = 'if_then_else_fi['_==_['E:Qid,
    'E':Qid], 'true.Bool, 'occurs['E:Qid, 'L:QidList]] [none] .
  eq 'reverse['L:NatList] = '$reverse['L:NatList, 'nil.NatList] [none] .
  eq 'reverse['L:QidList] = '$reverse['L:QidList, 'nil.TypeList] [none] .
  eq 'size['L:NatList] = '$size['L:NatList, '0.Zero] [none] .
  eq 'size['L:QidList] = '$size['L:QidList, '0.Zero] [none] .
  eq 'tail['__['E:Nat, 'L:NatList]] = 'L:NatList [none] .
  eq 'tail['__['E:Qid, 'L:QidList]] = 'L:QidList [none] .
  eq 'union['S:QidSet, 'S':QidSet] = '_;_['S:QidSet, 'S':QidSet] [none] .
  eq '|_|['S:QidSet] = '$card['S:QidSet, '0.Zero] [none] .
endfm
==========================================
reduce in META-LEVEL : upModule('META-LEVEL, false) .
rewrites: 1
result FModule: fmod 'META-LEVEL is
  protecting 'META-VIEW .
  protecting 'BOUND .
  sorts 'MatchOrUnificationPair ; 'MatchPair ; 'MatchPair? ; 'MatchingProblem ;
    'NarrowingApplyResult ; 'NarrowingApplyResult? ; 'NarrowingSearchPathResult
    ; 'NarrowingSearchPathResult? ; 'NarrowingSearchResult ;
    'NarrowingSearchResult? ; 'NarrowingStep ; 'NarrowingTrace ; 'NeVariableSet
    ; 'Parent ; 'PatternSubjectPair ; 'PrintOption ; 'PrintOptionSet ;
    'Result4Tuple ; 'Result4Tuple? ; 'ResultPair ; 'ResultPair? ; 'ResultTriple
    ; 'ResultTriple? ; 'SmtResult ; 'SmtResult? ; 'SrewriteOption ; 'Strategy?
    ; 'Substitution? ; 'Trace ; 'Trace? ; 'TraceStep ; 'Type? ; 'UnificandPair
    ; 'UnificationPair ; 'UnificationPair? ; 'UnificationProblem ;
    'UnificationTriple ; 'UnificationTriple? ; 'VariableSet ; 'Variant ;
    'Variant? ; 'VariantOption ; 'VariantOptionSet .
  subsort 'EmptyQidSet < 'VariableSet .
  subsort 'MatchPair < 'MatchOrUnificationPair .
  subsort 'MatchPair < 'MatchPair? .
  subsort 'NarrowingApplyResult < 'NarrowingApplyResult? .
  subsort 'NarrowingSearchPathResult < 'NarrowingSearchPathResult? .
  subsort 'NarrowingSearchResult < 'NarrowingSearchResult? .
  subsort 'NarrowingStep < 'NarrowingTrace .
  subsort 'Nat < 'Parent .
  subsort 'NeVariableSet < 'NeQidSet .
  subsort 'NeVariableSet < 'VariableSet .
  subsort 'PatternSubjectPair < 'MatchingProblem .
  subsort 'PrintOption < 'PrintOptionSet .
  subsort 'Result4Tuple < 'Result4Tuple? .
  subsort 'ResultPair < 'ResultPair? .
  subsort 'ResultTriple < 'ResultTriple? .
  subsort 'SmtResult < 'SmtResult? .
  subsort 'Strategy < 'Strategy? .
  subsort 'Substitution < 'Substitution? .
  subsort 'Trace < 'Trace? .
  subsort 'TraceStep < 'Trace .
  subsort 'Type < 'Type? .
  subsort 'UnificandPair < 'UnificationProblem .
  subsort 'UnificationPair < 'MatchOrUnificationPair .
  subsort 'UnificationPair < 'UnificationPair? .
  subsort 'UnificationTriple < 'UnificationTriple? .
  subsort 'Variable < 'NeVariableSet .
  subsort 'VariableSet < 'QidSet .
  subsort 'Variant < 'Variant? .
  subsort 'VariantOption < 'VariantOptionSet .
  op '$applySubstitution : 'NeTermList 'Substitution -> 'Term [none] .
  op '_/\_ : 'MatchingProblem 'MatchingProblem -> 'MatchingProblem [assoc comm
    ctor prec(73)] .
  op '_/\_ : 'UnificationProblem 'UnificationProblem -> 'UnificationProblem [
    assoc comm ctor prec(73)] .
  op '_;_ : 'NeVariableSet 'VariableSet -> 'NeVariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'VariableSet 'VariableSet -> 'VariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_<=?_ : 'Term 'Term -> 'PatternSubjectPair [ctor prec(71)] .
  op '_=?_ : 'Term 'Term -> 'UnificandPair [ctor prec(71)] .
  op '__ : 'NarrowingTrace 'NarrowingTrace -> 'NarrowingTrace [assoc ctor id(
    'nil.NarrowingTrace)] .
  op '__ : 'PrintOptionSet 'PrintOptionSet -> 'PrintOptionSet [assoc comm ctor
    id('none.PrintOptionSet)] .
  op '__ : 'Trace 'Trace -> 'Trace [assoc ctor id('nil.Trace) format('d 'n 'd)]
    .
  op '__ : 'VariantOptionSet 'VariantOptionSet -> 'VariantOptionSet [assoc comm
    ctor id('none.VariantOptionSet)] .
  op '`{_`,_`,_`,_`,_`,_`,_`} : 'Context 'Qid 'Substitution 'Qid 'Term 'Type
    'Substitution -> 'NarrowingStep [ctor format('ni 'n++i 'd 'ni 'd 's 'd 'ni
    'd 'ni 'd 's 'd 's 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Context 'Qid 'Substitution
    'Substitution 'Qid -> 'NarrowingApplyResult [ctor format('d 'n++i 'd 's 'd
    'ni 'd 'ni 'd 's 'd 's 'd 'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'NarrowingTrace
    'Substitution 'Qid -> 'NarrowingSearchPathResult [ctor format('d 'n++i 'd
    's 'd 's 'd 's 'd 's 'd 'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Qid 'Substitution 'Qid
    -> 'NarrowingSearchResult [ctor format('d 'n++i 'd 's 'd 's 'd 'ni 'd 's 'd
    'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Nat 'Parent 'Bool -> 'Variant [
    ctor] .
  op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Qid 'Parent 'Bool -> 'Variant [
    ctor] .
  op '`{_`,_`,_`,_`} : 'Term 'Substitution 'Term 'Nat -> 'SmtResult [ctor] .
  op '`{_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Context -> 'Result4Tuple [
    ctor] .
  op '`{_`,_`,_`} : 'Substitution 'Substitution 'Nat -> 'UnificationTriple [
    ctor] .
  op '`{_`,_`,_`} : 'Substitution 'Substitution 'Qid -> 'UnificationTriple [
    ctor] .
  op '`{_`,_`,_`} : 'Term 'Type 'Rule -> 'TraceStep [ctor] .
  op '`{_`,_`,_`} : 'Term 'Type 'Substitution -> 'ResultTriple [ctor] .
  op '`{_`,_`} : 'Substitution 'Context -> 'MatchPair [ctor] .
  op '`{_`,_`} : 'Substitution 'Nat -> 'UnificationPair [ctor] .
  op '`{_`,_`} : 'Substitution 'Qid -> 'UnificationPair [ctor] .
  op '`{_`,_`} : 'Term 'Type -> 'ResultPair [ctor] .
  op 'ambiguity : 'ResultPair 'ResultPair -> 'ResultPair? [ctor] .
  op 'ambiguity : 'Strategy 'Strategy -> 'Strategy? [ctor] .
  op 'anyType : nil -> 'Type? [ctor] .
  op 'applySubstitution : 'Module 'Term 'Substitution -> 'Term [none] .
  op 'breadthFirst : nil -> 'SrewriteOption [ctor] .
  op 'completeName : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCompleteName) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'delay : nil -> 'VariantOption [ctor] .
  op 'depthFirst : nil -> 'SrewriteOption [ctor] .
  op 'downTerm : 'Term 'Universal -> 'Universal [poly(2 0) special(
    id-hook('MetaLevelOpSymbol, 'metaDownTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'failure : nil -> 'NarrowingApplyResult? [ctor] .
  op 'failure : nil -> 'NarrowingSearchPathResult? [ctor] .
  op 'failure : nil -> 'NarrowingSearchResult? [ctor] .
  op 'failure : nil -> 'Result4Tuple? [ctor] .
  op 'failure : nil -> 'ResultPair? [ctor] .
  op 'failure : nil -> 'ResultTriple? [ctor] .
  op 'failure : nil -> 'SmtResult? [ctor] .
  op 'failure : nil -> 'Trace? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingApplyResult? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingSearchPathResult? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingSearchResult? [ctor] .
  op 'failureIncomplete : nil -> 'ResultTriple? [ctor] .
  op 'filter : nil -> 'VariantOption [ctor] .
  op 'flat : nil -> 'PrintOption [ctor] .
  op 'format : nil -> 'PrintOption [ctor] .
  op 'getAccumulatedSubstitution : 'NarrowingSearchResult -> 'Substitution [
    none] .
  op 'getAccumulatedSubstitution : 'NarrowingStep -> 'Substitution [none] .
  op 'getContext : 'MatchPair -> 'Context [none] .
  op 'getContext : 'NarrowingApplyResult -> 'Context [none] .
  op 'getContext : 'NarrowingStep -> 'Context [none] .
  op 'getContext : 'Result4Tuple -> 'Context [none] .
  op 'getInitialSubstitution : 'NarrowingSearchPathResult -> 'Substitution [
    none] .
  op 'getInitialTerm : 'NarrowingSearchPathResult -> 'Term [none] .
  op 'getInitialType : 'NarrowingSearchPathResult -> 'Type [none] .
  op 'getKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'getKinds : '`[Module`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKinds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'getLabel : 'NarrowingApplyResult -> 'Qid [none] .
  op 'getLabel : 'NarrowingStep -> 'Qid [none] .
  op 'getLhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
  op 'getMoreVariantsInLayerFlag : 'Variant -> 'Bool [none] .
  op 'getParent : 'Variant -> 'Parent [none] .
  op 'getRhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
  op 'getRule : 'TraceStep -> 'Rule [none] .
  op 'getRuleSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
  op 'getStateVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
  op 'getSubstitution : 'MatchPair -> 'Substitution [none] .
  op 'getSubstitution : 'Result4Tuple -> 'Substitution [none] .
  op 'getSubstitution : 'ResultTriple -> 'Substitution [none] .
  op 'getSubstitution : 'UnificationPair -> 'Substitution [none] .
  op 'getSubstitution : 'Variant -> 'Substitution [none] .
  op 'getTerm : 'NarrowingApplyResult -> 'Term [none] .
  op 'getTerm : 'NarrowingSearchResult -> 'Term [none] .
  op 'getTerm : 'NarrowingStep -> 'Term [none] .
  op 'getTerm : 'Result4Tuple -> 'Term [none] .
  op 'getTerm : 'ResultPair -> 'Term [none] .
  op 'getTerm : 'ResultTriple -> 'Term [none] .
  op 'getTerm : 'TraceStep -> 'Term [none] .
  op 'getTerm : 'Variant -> 'Term [none] .
  op 'getTermSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
  op 'getTrace : 'NarrowingSearchPathResult -> 'NarrowingTrace [none] .
  op 'getType : 'NarrowingApplyResult -> 'Type [none] .
  op 'getType : 'NarrowingSearchResult -> 'Type [none] .
  op 'getType : 'NarrowingStep -> 'Type [none] .
  op 'getType : 'Result4Tuple -> 'Type [none] .
  op 'getType : 'ResultPair -> 'Type [none] .
  op 'getType : 'ResultTriple -> 'Type [none] .
  op 'getType : 'TraceStep -> 'Type [none] .
  op 'getUnifier : 'NarrowingSearchPathResult -> 'Substitution [none] .
  op 'getUnifier : 'NarrowingSearchResult -> 'Substitution [none] .
  op 'getUnifier : 'NarrowingStep -> 'Substitution [none] .
  op 'getUnifierVariableFamily : 'NarrowingSearchPathResult -> 'Qid [none] .
  op 'getUnifierVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
  op 'getUnifierVariableFamily : 'NarrowingStep -> 'Qid [none] .
  op 'getVariableFamily : 'NarrowingApplyResult -> 'Qid [none] .
  op 'getVariableFamily : 'UnificationPair -> 'Qid [none] .
  op 'getVariableFamily : 'UnificationTriple -> 'Qid [none] .
  op 'getVariableFamily : 'Variant -> 'Qid [none] .
  op 'glbSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaGlbSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'leastSort : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLeastSort) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'lesserSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLesserSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'maximalAritySet : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalAritySet) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'maximalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaApply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaCheck : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCheck) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaFrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaFrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaIrredundantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaIrredundantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaMatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] '`[Bool`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow2) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'Nat ->
    'NarrowingApplyResult? [none] .
  op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'VariantOptionSet 'Nat
    -> 'NarrowingApplyResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchResult? [none] .
  op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchPathResult? [none] .
  op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchPathResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNormalize : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNormalize) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [
    none] .
  op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParse) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaParseStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[StrategyList`,Strategy?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParseStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrint) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrettyPrintStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[StrategyList`,Strategy?`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrintStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrintToString : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[String`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrintToString) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaReduce : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaReduce) 
    op-hook('qidSymbol, '<Qids>, nil, 'Qid) 
    op-hook('metaTermSymbol, '_`[_`], 'Qid 'NeGroundTermList, 'GroundTerm) 
    op-hook('metaArgSymbol, '_`,_, 'NeGroundTermList 'GroundTermList,
    'NeGroundTermList) 
    op-hook('emptyTermListSymbol, 'empty, nil, 'GroundTermList) 
    op-hook('assignmentSymbol, '_<-_, 'Variable 'Term, 'Assignment) 
    op-hook('emptySubstitutionSymbol, 'none, nil, 'Substitution) 
    op-hook('substitutionSymbol, '_;_, 'Substitution 'Substitution,
    'Substitution) 
    op-hook('holeSymbol, '`[`], nil, 'Context) 
    op-hook('noConditionSymbol, 'nil, nil, 'EqCondition) 
    op-hook('equalityConditionSymbol, '_=_, 'Term 'Term, 'EqCondition) 
    op-hook('sortTestConditionSymbol, '_:_, 'Term 'Sort, 'EqCondition) 
    op-hook('matchConditionSymbol, '_:=_, 'Term 'Term, 'EqCondition) 
    op-hook('rewriteConditionSymbol, '_=>_, 'Term 'Term, 'Condition) 
    op-hook('conjunctionSymbol, '_/\_, 'EqCondition 'EqCondition, 'EqCondition)
    
    op-hook('failStratSymbol, 'fail, nil, 'Strategy) 
    op-hook('idleStratSymbol, 'idle, nil, 'Strategy) 
    op-hook('allStratSymbol, 'all, nil, 'RuleApplication) 
    op-hook('applicationStratSymbol, '_`[_`]`{_`}, 'Qid 'Substitution
    'StrategyList, 'RuleApplication) 
    op-hook('topStratSymbol, 'top, 'RuleApplication, 'Strategy) 
    op-hook('matchStratSymbol, 'match_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('xmatchStratSymbol, 'xmatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('amatchStratSymbol, 'amatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('unionStratSymbol, '_|_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('concatStratSymbol, '_;_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('orelseStratSymbol, '_or-else_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('plusStratSymbol, '_+, 'Strategy, 'Strategy) 
    op-hook('conditionalStratSymbol, '_?_:_, 'Strategy 'Strategy 'Strategy,
    'Strategy) 
    op-hook('matchrewStratSymbol, 'matchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('xmatchrewStratSymbol, 'xmatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('amatchrewStratSymbol, 'amatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('callStratSymbol, '_`[`[_`]`], 'Qid 'TermList, 'CallStrategy) 
    op-hook('oneStratSymbol, 'one, 'Strategy, 'Strategy) 
    op-hook('starStratSymbol, '_*, 'Strategy, 'Strategy) 
    op-hook('normalizationStratSymbol, '_!, 'Strategy, 'Strategy) 
    op-hook('notStratSymbol, 'not, 'Strategy, 'Strategy) 
    op-hook('testStratSymbol, 'test, 'Strategy, 'Strategy) 
    op-hook('tryStratSymbol, 'try, 'Strategy, 'Strategy) 
    op-hook('usingStratSymbol, '_using_, 'Variable 'Strategy, 'UsingPair) 
    op-hook('usingListStratSymbol, '_`,_, 'UsingPairSet 'UsingPairSet,
    'UsingPairSet) 
    op-hook('emptyStratListSymbol, 'empty, nil, 'StrategyList) 
    op-hook('stratListSymbol, '_`,_, 'StrategyList 'StrategyList,
    'StrategyList) 
    op-hook('headerSymbol, '_`{_`}, 'Qid 'ParameterDeclList, 'Header) 
    op-hook('parameterDeclSymbol, '_::_, 'Sort 'ModuleExpression,
    'ParameterDecl) 
    op-hook('parameterDeclListSymbol, '_`,_, 'ParameterDeclList
    'ParameterDeclList, 'ParameterDeclList) 
    op-hook('protectingSymbol, 'protecting_., 'ModuleExpression, 'Import) 
    op-hook('extendingSymbol, 'extending_., 'ModuleExpression, 'Import) 
    op-hook('includingSymbol, 'including_., 'ModuleExpression, 'Import) 
    op-hook('generatedBySymbol, 'generated-by_., 'ModuleExpression, 'Import) 
    op-hook('nilImportListSymbol, 'nil, nil, 'ImportList) 
    op-hook('importListSymbol, '__, 'ImportList 'ImportList, 'ImportList) 
    op-hook('emptySortSetSymbol, 'none, nil, 'QidSet) 
    op-hook('sortSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('subsortSymbol, 'subsort_<_., 'Sort 'Sort, 'SubsortDecl) 
    op-hook('emptySubsortDeclSetSymbol, 'none, nil, 'SubsortDeclSet) 
    op-hook('subsortDeclSetSymbol, '__, 'SubsortDeclSet 'SubsortDeclSet,
    'SubsortDeclSet) 
    op-hook('nilQidListSymbol, 'nil, nil, 'QidList) 
    op-hook('qidListSymbol, '__, 'QidList 'QidList, 'QidList) 
    op-hook('emptyQidSetSymbol, 'none, nil, 'QidSet) 
    op-hook('qidSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    op-hook('natListSymbol, '__, 'NatList 'NatList, 'NatList) 
    op-hook('unboundedSymbol, 'unbounded, nil, 'Bound) 
    op-hook('noParentSymbol, 'none, nil, 'Parent) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('sortRenamingSymbol, 'sort_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('opRenamingSymbol, 'op_to_`[_`], 'Qid 'Qid 'AttrSet, 'Renaming) 
    op-hook('opRenamingSymbol2, 'op_:_->_to_`[_`], 'Qid 'TypeList 'Type 'Qid
    'AttrSet, 'Renaming) 
    op-hook('labelRenamingSymbol, 'label_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol, 'strat_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol2, 'strat_:_@_to_, 'Qid 'TypeList 'Type 'Qid,
    'Renaming) 
    op-hook('renamingSetSymbol, '_`,_, 'RenamingSet 'RenamingSet, 'RenamingSet)
    
    op-hook('sumSymbol, '_+_, 'ModuleExpression 'ModuleExpression,
    'ModuleExpression) 
    op-hook('renamingSymbol, '_*`(_`), 'ModuleExpression 'RenamingSet,
    'ModuleExpression) 
    op-hook('instantiationSymbol, '_`{_`}, 'Expression 'NeParameterList,
    'Expression) 
    op-hook('termHookSymbol, 'term-hook, 'Qid 'Term, 'Hook) 
    op-hook('hookListSymbol, '__, 'HookList 'HookList, 'HookList) 
    op-hook('idHookSymbol, 'id-hook, 'Qid 'QidList, 'Hook) 
    op-hook('opHookSymbol, 'op-hook, 'Qid 'Qid 'QidList 'Qid, 'Hook) 
    op-hook('assocSymbol, 'assoc, nil, 'Attr) 
    op-hook('commSymbol, 'comm, nil, 'Attr) 
    op-hook('idemSymbol, 'idem, nil, 'Attr) 
    op-hook('iterSymbol, 'iter, nil, 'Attr) 
    op-hook('idSymbol, 'id, 'Term, 'Attr) 
    op-hook('leftIdSymbol, 'left-id, 'Term, 'Attr) 
    op-hook('rightIdSymbol, 'right-id, 'Term, 'Attr) 
    op-hook('stratSymbol, 'strat, 'NeNatList, 'Attr) 
    op-hook('memoSymbol, 'memo, nil, 'Attr) 
    op-hook('precSymbol, 'prec, 'Nat, 'Attr) 
    op-hook('gatherSymbol, 'gather, 'QidList, 'Attr) 
    op-hook('formatSymbol, 'format, 'QidList, 'Attr) 
    op-hook('latexSymbol, 'latex, 'String, 'Attr) 
    op-hook('ctorSymbol, 'ctor, nil, 'Attr) 
    op-hook('frozenSymbol, 'frozen, 'NeNatList, 'Attr) 
    op-hook('polySymbol, 'poly, 'NeNatList, 'Attr) 
    op-hook('configSymbol, 'config, nil, 'Attr) 
    op-hook('objectSymbol, 'object, nil, 'Attr) 
    op-hook('msgSymbol, 'msg, nil, 'Attr) 
    op-hook('portalSymbol, 'portal, nil, 'Attr) 
    op-hook('pconstSymbol, 'pconst, nil, 'Attr) 
    op-hook('specialSymbol, 'special, 'NeHookList, 'Attr) 
    op-hook('labelSymbol, 'label, 'Qid, 'Attr) 
    op-hook('metadataSymbol, 'metadata, 'String, 'Attr) 
    op-hook('owiseSymbol, 'owise, nil, 'Attr) 
    op-hook('variantAttrSymbol, 'variant, nil, 'Attr) 
    op-hook('narrowingSymbol, 'narrowing, nil, 'Attr) 
    op-hook('nonexecSymbol, 'nonexec, nil, 'Attr) 
    op-hook('printSymbol, 'print, 'QidList, 'Attr) 
    op-hook('emptyAttrSetSymbol, 'none, nil, 'AttrSet) 
    op-hook('attrSetSymbol, '__, 'AttrSet 'AttrSet, 'AttrSet) 
    op-hook('opDeclSymbol, 'op_:_->_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'OpDecl) 
    op-hook('opDeclSetSymbol, '__, 'OpDeclSet 'OpDeclSet, 'OpDeclSet) 
    op-hook('emptyOpDeclSetSymbol, 'none, nil, 'OpDeclSet) 
    op-hook('mbSymbol, 'mb_:_`[_`]., 'Term 'Sort 'AttrSet, 'MembAx) 
    op-hook('cmbSymbol, 'cmb_:_if_`[_`]., 'Term 'Sort 'EqCondition 'AttrSet,
    'MembAx) 
    op-hook('emptyMembAxSetSymbol, 'none, nil, 'MembAxSet) 
    op-hook('membAxSetSymbol, '__, 'MembAxSet 'MembAxSet, 'MembAxSet) 
    op-hook('eqSymbol, 'eq_=_`[_`]., 'Term 'Term 'AttrSet, 'Equation) 
    op-hook('ceqSymbol, 'ceq_=_if_`[_`]., 'Term 'Term 'EqCondition 'AttrSet,
    'Equation) 
    op-hook('emptyEquationSetSymbol, 'none, nil, 'EquationSet) 
    op-hook('equationSetSymbol, '__, 'EquationSet 'EquationSet, 'EquationSet) 
    op-hook('rlSymbol, 'rl_=>_`[_`]., 'Term 'Term 'AttrSet, 'Rule) 
    op-hook('crlSymbol, 'crl_=>_if_`[_`]., 'Term 'Term 'Condition 'AttrSet,
    'Rule) 
    op-hook('emptyRuleSetSymbol, 'none, nil, 'RuleSet) 
    op-hook('ruleSetSymbol, '__, 'RuleSet 'RuleSet, 'RuleSet) 
    op-hook('stratDeclSymbol, 'strat_:_@_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'StratDecl) 
    op-hook('emptyStratDeclSetSymbol, 'none, nil, 'StratDeclSet) 
    op-hook('stratDeclSetSymbol, '__, 'StratDeclSet 'StratDeclSet,
    'StratDeclSet) 
    op-hook('sdSymbol, 'sd_:=_`[_`]., 'CallStrategy 'Strategy 'AttrSet,
    'StratDefinition) 
    op-hook('csdSymbol, 'csd_:=_if_`[_`]., 'CallStrategy 'Strategy 'EqCondition
    'AttrSet, 'StratDefinition) 
    op-hook('emptyStratDefSetSymbol, 'none, nil, 'StratDefSet) 
    op-hook('stratDefSetSymbol, '__, 'StratDefSet 'StratDefSet, 'StratDefSet) 
    op-hook('fmodSymbol, 'fmod_is_sorts_.____endfm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FModule) 
    op-hook('fthSymbol, 'fth_is_sorts_.____endfth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FTheory) 
    op-hook('modSymbol, 'mod_is_sorts_._____endm, 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'SModule) 
    op-hook('thSymbol, 'th_is_sorts_._____endth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'STheory) 
    op-hook('smodSymbol, 'smod_is_sorts_._______endsm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratModule) 
    op-hook('sthSymbol, 'sth_is_sorts_._______endsth, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratTheory) 
    op-hook('sortMappingSymbol, 'sort_to_., 'Sort 'Sort, 'SortMapping) 
    op-hook('emptySortMappingSetSymbol, 'none, nil, 'SortMappingSet) 
    op-hook('sortMappingSetSymbol, '__, 'SortMappingSet 'SortMappingSet,
    'SortMappingSet) 
    op-hook('opMappingSymbol, 'op_to_., 'Qid 'Qid, 'OpMapping) 
    op-hook('opSpecificMappingSymbol, 'op_:_->_to_., 'Qid 'TypeList 'Type 'Qid,
    'OpMapping) 
    op-hook('opTermMappingSymbol, 'op_to`term_., 'Term 'Term, 'OpMapping) 
    op-hook('emptyOpMappingSetSymbol, 'none, nil, 'OpMappingSet) 
    op-hook('opMappingSetSymbol, '__, 'OpMappingSet 'OpMappingSet,
    'OpMappingSet) 
    op-hook('stratMappingSymbol, 'strat_to_., 'Qid 'Qid, 'StratMapping) 
    op-hook('stratSpecificMappingSymbol, 'strat_:_@_to_., 'Qid 'TypeList 'Type
    'Qid, 'StratMapping) 
    op-hook('stratExprMappingSymbol, 'strat_to`expr_., 'CallStrategy 'Strategy,
    'StratMapping) 
    op-hook('emptyStratMappingSetSymbol, 'none, nil, 'StratMappingSet) 
    op-hook('stratMappingSetSymbol, '__, 'StratMappingSet 'StratMappingSet,
    'StratMappingSet) 
    op-hook('viewSymbol, 'view_from_to_is___endv, 'Header 'ModuleExpression
    'ModuleExpression 'SortMappingSet 'OpMappingSet 'StratMappingSet, 'View) 
    op-hook('anyTypeSymbol, 'anyType, nil, 'Type?) 
    op-hook('unificandPairSymbol, '_=?_, 'Term 'Term, 'UnificandPair) 
    op-hook('unificationConjunctionSymbol, '_/\_, 'UnificationProblem
    'UnificationProblem, 'UnificationProblem) 
    op-hook('patternSubjectPairSymbol, '_<=?_, 'Term 'Term,
    'PatternSubjectPair) 
    op-hook('matchingConjunctionSymbol, '_/\_, 'MatchingProblem
    'MatchingProblem, 'MatchingProblem) 
    op-hook('resultPairSymbol, '`{_`,_`}, 'Term 'Type, 'ResultPair) 
    op-hook('resultTripleSymbol, '`{_`,_`,_`}, 'Term 'Type 'Substitution,
    'ResultTriple) 
    op-hook('result4TupleSymbol, '`{_`,_`,_`,_`}, 'Term 'Type 'Substitution
    'Context, 'Result4Tuple) 
    op-hook('matchPairSymbol, '`{_`,_`}, 'Substitution 'Context, 'MatchPair) 
    op-hook('unificationTripleSymbol, '`{_`,_`,_`}, 'Substitution 'Substitution
    'Qid, 'UnificationTriple) 
    op-hook('variantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Qid
    'Parent 'Bool, 'Variant) 
    op-hook('narrowingApplyResultSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Context 'Qid 'Substitution 'Substitution 'Qid, 'NarrowingApplyResult) 
    op-hook('narrowingSearchResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Substitution 'Qid 'Substitution 'Qid, 'NarrowingSearchResult) 
    op-hook('traceStepSymbol, '`{_`,_`,_`}, 'Term 'Type 'Rule, 'TraceStep) 
    op-hook('nilTraceSymbol, 'nil, nil, 'Trace) 
    op-hook('traceSymbol, '__, 'Trace 'Trace, 'Trace) 
    op-hook('narrowingStepSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Context 'Qid
    'Substitution 'Qid 'Term 'Type 'Substitution, 'NarrowingStep) 
    op-hook('nilNarrowingTraceSymbol, 'nil, nil, 'NarrowingTrace) 
    op-hook('narrowingTraceSymbol, '__, 'NarrowingTrace 'NarrowingTrace,
    'NarrowingTrace) 
    op-hook('narrowingSearchPathResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term
    'Type 'Substitution 'NarrowingTrace 'Substitution 'Qid,
    'NarrowingSearchPathResult) 
    op-hook('smtResultSymbol, '`{_`,_`,_`,_`}, 'Term 'Substitution 'Term 'Nat,
    'SmtResult) 
    op-hook('noParseSymbol, 'noParse, 'Nat, 'ResultPair?) 
    op-hook('ambiguitySymbol, 'ambiguity, 'ResultPair 'ResultPair,
    'ResultPair?) 
    op-hook('failure2Symbol, 'failure, nil, 'ResultPair?) 
    op-hook('failure3Symbol, 'failure, nil, 'ResultTriple?) 
    op-hook('failureIncomplete3Symbol, 'failureIncomplete, nil, 'ResultTriple?)
    
    op-hook('failure4Symbol, 'failure, nil, 'Result4Tuple?) 
    op-hook('noUnifierPairSymbol, 'noUnifier, nil, 'UnificationPair?) 
    op-hook('noUnifierTripleSymbol, 'noUnifier, nil, 'UnificationTriple?) 
    op-hook('noUnifierIncompletePairSymbol, 'noUnifierIncomplete, nil,
    'UnificationPair?) 
    op-hook('noUnifierIncompleteTripleSymbol, 'noUnifierIncomplete, nil,
    'UnificationTriple?) 
    op-hook('noVariantSymbol, 'noVariant, nil, 'Variant?) 
    op-hook('noVariantIncompleteSymbol, 'noVariantIncomplete, nil, 'Variant?) 
    op-hook('narrowingApplyFailureSymbol, 'failure, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingApplyFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingSearchFailureSymbol, 'failure, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchPathFailureSymbol, 'failure, nil,
    'NarrowingSearchPathResult?) 
    op-hook('narrowingSearchPathFailureIncompleteSymbol, 'failureIncomplete,
    nil, 'NarrowingSearchPathResult?) 
    op-hook('noMatchSubstSymbol, 'noMatch, nil, 'Substitution?) 
    op-hook('noMatchIncompleteSubstSymbol, 'noMatchIncomplete, nil,
    'Substitution?) 
    op-hook('noMatchPairSymbol, 'noMatch, nil, 'MatchPair?) 
    op-hook('failureTraceSymbol, 'failure, nil, 'Trace?) 
    op-hook('smtFailureSymbol, 'failure, nil, 'SmtResult?) 
    op-hook('noStratParseSymbol, 'noStratParse, 'Nat, 'Strategy?) 
    op-hook('stratAmbiguitySymbol, 'ambiguity, 'Strategy 'Strategy, 'Strategy?)
    
    op-hook('mixfixSymbol, 'mixfix, nil, 'PrintOption) 
    op-hook('withParensSymbol, 'with-parens, nil, 'PrintOption) 
    op-hook('withSortsSymbol, 'with-sorts, nil, 'PrintOption) 
    op-hook('flatSymbol, 'flat, nil, 'PrintOption) 
    op-hook('formatPrintOptionSymbol, 'format, nil, 'PrintOption) 
    op-hook('numberSymbol, 'number, nil, 'PrintOption) 
    op-hook('ratSymbol, 'rat, nil, 'PrintOption) 
    op-hook('emptyPrintOptionSetSymbol, 'none, nil, 'PrintOptionSet) 
    op-hook('printOptionSetSymbol, '__, 'PrintOptionSet 'PrintOptionSet,
    'PrintOptionSet) 
    op-hook('delaySymbol, 'delay, nil, 'VariantOption) 
    op-hook('filterSymbol, 'filter, nil, 'VariantOption) 
    op-hook('emptyVariantOptionSetSymbol, 'none, nil, 'VariantOptionSet) 
    op-hook('variantOptionSetSymbol, '__, 'VariantOptionSet 'VariantOptionSet,
    'VariantOptionSet) 
    op-hook('breadthFirstSymbol, 'breadthFirst, nil, 'SrewriteOption) 
    op-hook('depthFirstSymbol, 'depthFirst, nil, 'SrewriteOption) 
    op-hook('legacyUnificationPairSymbol, '`{_`,_`}, 'Substitution 'Nat,
    'UnificationPair) 
    op-hook('legacyUnificationTripleSymbol, '`{_`,_`,_`}, 'Substitution
    'Substitution 'Nat, 'UnificationTriple) 
    op-hook('legacyVariantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Nat
    'Parent 'Bool, 'Variant) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op 'metaRewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaRewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSearchPath : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Trace?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSmtSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[SmtResult?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSmtSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[StrategyList`,Strategy?`]
    '`[SrewriteOption`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [none] .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantMatch : '`[Module`] '`[MatchingProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [none] .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaXapply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Result4Tuple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXapply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaXmatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXmatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'minimalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMinimalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'mixfix : nil -> 'PrintOption [ctor] .
  op 'nil : nil -> 'NarrowingTrace [ctor] .
  op 'nil : nil -> 'Trace [ctor] .
  op 'noMatch : nil -> 'MatchPair? [ctor] .
  op 'noMatch : nil -> 'Substitution? [ctor] .
  op 'noMatchIncomplete : nil -> 'Substitution? [ctor] .
  op 'noParse : 'Nat -> 'ResultPair? [ctor] .
  op 'noStratParse : 'Nat -> 'Strategy? [ctor] .
  op 'noUnifier : nil -> 'UnificationPair? [ctor] .
  op 'noUnifier : nil -> 'UnificationTriple? [ctor] .
  op 'noUnifierIncomplete : nil -> 'UnificationPair? [ctor] .
  op 'noUnifierIncomplete : nil -> 'UnificationTriple? [ctor] .
  op 'noVariant : nil -> 'Variant? [ctor] .
  op 'noVariantIncomplete : nil -> 'Variant? [ctor] .
  op 'none : nil -> 'Parent [none] .
  op 'none : nil -> 'PrintOptionSet [ctor] .
  op 'none : nil -> 'VariantOptionSet [ctor] .
  op 'number : nil -> 'PrintOption [ctor] .
  op 'rat : nil -> 'PrintOption [ctor] .
  op 'sameKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSameKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'sortLeq : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSortLeq) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upEqs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[EquationSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpEqs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upImports : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ImportList`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpImports) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upMbs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[MembAxSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpMbs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upModule : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[Module`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upOpDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[OpDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpOpDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upRls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[RuleSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpRls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSds : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDefSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSorts : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upStratDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpStratDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSubsortDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[SubsortDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSubsortDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upTerm : 'Universal -> 'Term [poly(1) special(
    id-hook('MetaLevelOpSymbol, 'metaUpTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upView : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[View`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpView) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : 'Module -> 'Bool [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : '`[Module`] '`[Substitution?`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedSubstitution) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'with-parens : nil -> 'PrintOption [ctor] .
  op 'with-sorts : nil -> 'PrintOption [ctor] .
  none
  eq '$applySubstitution['Q:Qid, 'S:Substitution] = 'Q:Qid [owise] .
  eq '$applySubstitution['V:Variable, '_;_['S:Substitution, '_<-_['V:Variable,
    'T:Term]]] = 'T:Term [none] .
  eq '$applySubstitution['_`,_['T:Term, 'TL:NeTermList], 'S:Substitution] =
    '_`,_['$applySubstitution['T:Term, 'S:Substitution], '$applySubstitution[
    'TL:NeTermList, 'S:Substitution]] [none] .
  eq '$applySubstitution['_`[_`]['Q:Qid, 'TL:NeTermList], 'S:Substitution] =
    '_`[_`]['Q:Qid, '$applySubstitution['TL:NeTermList, 'S:Substitution]] [
    none] .
  eq 'applySubstitution['M:Module, 'T:Term, 'S:Substitution] = 'getTerm[
    'metaNormalize['M:Module, '$applySubstitution['T:Term, 'S:Substitution]]] [
    none] .
  eq 'getAccumulatedSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid,
    'U:Substitution, 'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] =
    'A:Substitution [none] .
  eq 'getAccumulatedSubstitution['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'A:Substitution [
    none] .
  eq 'getContext['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'C:Context]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`}['S:Substitution, 'C:Context]] = 'C:Context [none] .
  eq 'getInitialSubstitution['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'S:Substitution, 'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] =
    'S:Substitution [none] .
  eq 'getInitialTerm['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:Term [none] .
  eq 'getInitialType['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:Type [none] .
  eq 'getLabel['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'L:Qid [none] .
  eq 'getLabel['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'L:Qid [none] .
  eq 'getLhsSubstitution['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'LS:Substitution [none] .
  eq 'getMoreVariantsInLayerFlag['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution,
    'Q:Qid, 'P:Parent, 'B:Bool]] = 'B:Bool [none] .
  eq 'getParent['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid, 'P:Parent,
    'B:Bool]] = 'P:Parent [none] .
  eq 'getRhsSubstitution['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'RS:Substitution [none] .
  eq 'getRule['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'R:Rule [none] .
  eq 'getRuleSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'C:Context, 'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] =
    'RS:Substitution [none] .
  eq 'getStateVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'SV:Qid [none] .
  eq 'getSubstitution['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid,
    'P:Parent, 'B:Bool]] = 'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'C:Context]] = 'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] =
    'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`}['S:Substitution, 'C:Context]] = 'S:Substitution
    [none] .
  eq 'getSubstitution['`{_`,_`}['S:Substitution, 'V:Qid]] = 'S:Substitution [
    none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution, 'SV:Qid,
    'U:Substitution, 'UV:Qid]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid, 'P:Parent,
    'B:Bool]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution, 'C:Context]] =
    'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] = 'T:Term [none]
    .
  eq 'getTerm['`{_`,_`}['T:Term, 'T:Type]] = 'T:Term [none] .
  eq 'getTermSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'C:Context, 'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] =
    'TS:Substitution [none] .
  eq 'getTrace['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:NarrowingTrace [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution, 'SV:Qid,
    'U:Substitution, 'UV:Qid]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution, 'C:Context]] =
    'T:Type [none] .
  eq 'getType['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] = 'T:Type [none]
    .
  eq 'getType['`{_`,_`}['T:Term, 'T:Type]] = 'T:Type [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'U:Substitution [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution,
    'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'U:Substitution [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'U:Substitution [none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid,
    'U:Substitution, 'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'UV:Qid [
    none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'UV:Qid [none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'S:Substitution, 'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'UV:Qid [
    none] .
  eq 'getVariableFamily['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context,
    'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'V:Qid [none] .
  eq 'getVariableFamily['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid,
    'P:Parent, 'B:Bool]] = 'Q:Qid [none] .
  eq 'getVariableFamily['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'V:Qid [none] .
  eq 'getVariableFamily['`{_`,_`}['S:Substitution, 'V:Qid]] = 'V:Qid [none] .
  eq 'metaNarrowingApply['M:Module, 'T:Term, 'TL:TermList, 'Q:Qid, 'N:Nat] =
    'metaNarrowingApply['M:Module, 'T:Term, 'TL:TermList, 'Q:Qid,
    'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaNarrowingSearch['M:Module, 'T:Term, 'T2:Term, 'S:Qid, 'B:Bound,
    'F:Qid, 'N:Nat] = 'metaNarrowingSearch['M:Module, 'T:Term, 'T2:Term,
    'S:Qid, 'B:Bound, 'F:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaNarrowingSearchPath['M:Module, 'T:Term, 'T2:Term, 'S:Qid, 'B:Bound,
    'F:Qid, 'N:Nat] = 'metaNarrowingSearchPath['M:Module, 'T:Term, 'T2:Term,
    'S:Qid, 'B:Bound, 'F:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaParse['M:Module, 'Q:QidList, 'T:Type?] = 'metaParse['M:Module,
    'none.EmptyQidSet, 'Q:QidList, 'T:Type?] [none] .
  eq 'metaPrettyPrint['M:Module, 'T:Term] = 'metaPrettyPrint['M:Module,
    'none.EmptyQidSet, 'T:Term, '__['mixfix.PrintOption, '__['flat.PrintOption,
    '__['format.PrintOption, '__['number.PrintOption, 'rat.PrintOption]]]],
    'none.EmptyQidSet] [none] .
  eq 'metaPrettyPrint['M:Module, 'T:Term, 'P:PrintOptionSet] =
    'metaPrettyPrint['M:Module, 'none.EmptyQidSet, 'T:Term, 'P:PrintOptionSet,
    'none.EmptyQidSet] [none] .
  eq 'metaPrettyPrint['M:Module, 'VS:VariableSet, 'T:Term, 'P:PrintOptionSet] =
    'metaPrettyPrint['M:Module, 'VS:VariableSet, 'T:Term, 'P:PrintOptionSet,
    'none.EmptyQidSet] [none] .
  eq 'metaVariantDisjointUnify['M:Module, 'U:UnificationProblem, 'TL:TermList,
    'Q:Qid, 'N:Nat] = 'metaVariantDisjointUnify['M:Module,
    'U:UnificationProblem, 'TL:TermList, 'Q:Qid, 'none.VariantOptionSet,
    'N:Nat] [none] .
  eq 'metaVariantUnify['M:Module, 'U:UnificationProblem, 'TL:TermList, 'Q:Qid,
    'N:Nat] = 'metaVariantUnify['M:Module, 'U:UnificationProblem, 'TL:TermList,
    'Q:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
endfm
==========================================
reduce in META-LEVEL : upModule('BOOL, true) .
rewrites: 1
result FModule: fmod 'BOOL is
  nil
  sorts 'Bool .
  none
  op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
  op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
  op '_and_ : 'Bool 'Bool -> 'Bool [assoc comm prec(55)] .
  op '_implies_ : 'Bool 'Bool -> 'Bool [prec(61) gather('e 'E)] .
  op '_or_ : 'Bool 'Bool -> 'Bool [assoc comm prec(59)] .
  op '_xor_ : 'Bool 'Bool -> 'Bool [assoc comm prec(57)] .
  op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
  op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
  op 'not_ : 'Bool -> 'Bool [prec(53)] .
  op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
  none
  eq '_and_['A:Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_and_['A:Bool, '_xor_['B:Bool, 'C:Bool]] = '_xor_['_and_['A:Bool,
    'B:Bool], '_and_['A:Bool, 'C:Bool]] [none] .
  eq '_and_['false.Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_and_['true.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_implies_['A:Bool, 'B:Bool] = 'not_['_xor_['A:Bool, '_and_['A:Bool,
    'B:Bool]]] [none] .
  eq '_or_['A:Bool, 'B:Bool] = '_xor_['_and_['A:Bool, 'B:Bool], '_xor_['A:Bool,
    'B:Bool]] [none] .
  eq '_xor_['A:Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_xor_['false.Bool, 'A:Bool] = 'A:Bool [none] .
  eq 'not_['A:Bool] = '_xor_['true.Bool, 'A:Bool] [none] .
endfm
==========================================
reduce in META-LEVEL : metaReduce(upModule('BOOL, true), '_==_['true.Bool,
    'false.Bool]) .
rewrites: 3
result ResultPair: {'false.Bool, 'Bool}
==========================================
reduce in META-LEVEL : upModule('BOOL, false) .
rewrites: 1
result FModule: fmod 'BOOL is
  protecting 'BOOL-OPS .
  protecting 'TRUTH .
  sorts none .
  none
  none
  none
  none
endfm
==========================================
reduce in META-LEVEL : metaReduce(upModule('BOOL, false), '_==_['true.Bool,
    'false.Bool]) .
rewrites: 3
result ResultPair: {'false.Bool, 'Bool}
==========================================
reduce in META-LEVEL : upModule('TRUTH, true) .
rewrites: 1
result FModule: fmod 'TRUTH is
  nil
  sorts 'Bool .
  none
  op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
  op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
  op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
  op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
  op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
  none
  none
endfm
==========================================
reduce in META-LEVEL : upModule('NAT, true) .
rewrites: 1
result FModule: fmod 'NAT is
  nil
  sorts 'Bool ; 'Nat ; 'NzNat ; 'Zero .
  subsort 'NzNat < 'Nat .
  subsort 'Zero < 'Nat .
  op '0 : nil -> 'Zero [ctor] .
  op '_&_ : 'Nat 'Nat -> 'Nat [assoc comm prec(53) special(
    id-hook('ACU_NumberOpSymbol, '&) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'Nat 'Nat -> 'Nat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'NzNat 'NzNat -> 'NzNat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'Nat 'Nat -> 'Nat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<<_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '<<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
  op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
  op '_>=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>>_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '>>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_>_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_^_ : 'Nat 'Nat -> 'Nat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_^_ : 'NzNat 'Nat -> 'NzNat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_and_ : 'Bool 'Bool -> 'Bool [assoc comm prec(55)] .
  op '_divides_ : 'NzNat 'Nat -> 'Bool [prec(51) special(
    id-hook('NumberOpSymbol, 'divides) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_implies_ : 'Bool 'Bool -> 'Bool [prec(61) gather('e 'E)] .
  op '_or_ : 'Bool 'Bool -> 'Bool [assoc comm prec(59)] .
  op '_quo_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'quo) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_rem_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'rem) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_xor_ : 'Bool 'Bool -> 'Bool [assoc comm prec(57)] .
  op '_xor_ : 'Nat 'Nat -> 'Nat [assoc comm prec(55) special(
    id-hook('ACU_NumberOpSymbol, 'xor) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Nat 'Nat -> 'Nat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
  op 'gcd : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'gcd : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
  op 'lcm : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lcm : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'modExp : '`[Nat`] '`[Nat`] '`[Nat`] -> '`[Nat`] [special(
    id-hook('NumberOpSymbol, 'modExp) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'not_ : 'Bool -> 'Bool [prec(53)] .
  op 's_ : 'Nat -> 'NzNat [iter ctor special(
    id-hook('SuccSymbol, nil) 
    term-hook('zeroTerm, '0.Zero))] .
  op 'sd : 'Nat 'Nat -> 'Nat [comm special(
    id-hook('CUI_NumberOpSymbol, 'sd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
  none
  eq '_and_['A:Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_and_['A:Bool, '_xor_['B:Bool, 'C:Bool]] = '_xor_['_and_['A:Bool,
    'B:Bool], '_and_['A:Bool, 'C:Bool]] [none] .
  eq '_and_['false.Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_and_['true.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_implies_['A:Bool, 'B:Bool] = 'not_['_xor_['A:Bool, '_and_['A:Bool,
    'B:Bool]]] [none] .
  eq '_or_['A:Bool, 'B:Bool] = '_xor_['_and_['A:Bool, 'B:Bool], '_xor_['A:Bool,
    'B:Bool]] [none] .
  eq '_xor_['A:Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_xor_['false.Bool, 'A:Bool] = 'A:Bool [none] .
  eq 'not_['A:Bool] = '_xor_['true.Bool, 'A:Bool] [none] .
endfm
==========================================
reduce in META-LEVEL : metaReduce(upModule('NAT, true), '_+_[upTerm(100),
    upTerm(66)]) .
rewrites: 5
result ResultPair: {'s_^166['0.Zero], 'NzNat}
==========================================
reduce in META-LEVEL : upModule('NAT, false) .
rewrites: 1
result FModule: fmod 'NAT is
  protecting 'BOOL .
  sorts 'Nat ; 'NzNat ; 'Zero .
  subsort 'NzNat < 'Nat .
  subsort 'Zero < 'Nat .
  op '0 : nil -> 'Zero [ctor] .
  op '_&_ : 'Nat 'Nat -> 'Nat [assoc comm prec(53) special(
    id-hook('ACU_NumberOpSymbol, '&) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'Nat 'Nat -> 'Nat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'NzNat 'NzNat -> 'NzNat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'Nat 'Nat -> 'Nat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<<_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '<<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>>_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '>>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_>_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_^_ : 'Nat 'Nat -> 'Nat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_^_ : 'NzNat 'Nat -> 'NzNat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_divides_ : 'NzNat 'Nat -> 'Bool [prec(51) special(
    id-hook('NumberOpSymbol, 'divides) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_quo_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'quo) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_rem_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'rem) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_xor_ : 'Nat 'Nat -> 'Nat [assoc comm prec(55) special(
    id-hook('ACU_NumberOpSymbol, 'xor) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Nat 'Nat -> 'Nat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'gcd : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'gcd : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lcm : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lcm : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'modExp : '`[Nat`] '`[Nat`] '`[Nat`] -> '`[Nat`] [special(
    id-hook('NumberOpSymbol, 'modExp) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 's_ : 'Nat -> 'NzNat [iter ctor special(
    id-hook('SuccSymbol, nil) 
    term-hook('zeroTerm, '0.Zero))] .
  op 'sd : 'Nat 'Nat -> 'Nat [comm special(
    id-hook('CUI_NumberOpSymbol, 'sd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  none
  none
endfm
==========================================
reduce in META-LEVEL : metaReduce(upModule('NAT, false), '_+_[upTerm(100),
    upTerm(66)]) .
rewrites: 5
result ResultPair: {'s_^166['0.Zero], 'NzNat}
==========================================
reduce in META-LEVEL : metaReduce(upModule('NAT, true), 'modExp[upTerm(100),
    upTerm(66), upTerm(17)]) .
rewrites: 6
result ResultPair: {'s_^4['0.Zero], 'NzNat}
==========================================
reduce in META-LEVEL : upModule('META-LEVEL, true) .
rewrites: 2
result FModule: fmod 'META-LEVEL is
  nil
  sorts 'Assignment ; 'Attr ; 'AttrSet ; 'Bool ; 'Bound ; 'CallStrategy ; 'Char
    ; 'Condition ; 'Constant ; 'Context ; 'EmptyCommaList ; 'EmptyQidSet ;
    'EqCondition ; 'Equation ; 'EquationSet ; 'Expression ; 'FModule ; 'FTheory
    ; 'FindResult ; 'GTermList ; 'GroundTerm ; 'GroundTermList ; 'Header ;
    'Hook ; 'HookList ; 'Import ; 'ImportList ; 'Kind ; 'KindSet ;
    'MatchOrUnificationPair ; 'MatchPair ; 'MatchPair? ; 'MatchingProblem ;
    'MembAx ; 'MembAxSet ; 'Module ; 'ModuleExpression ; 'NarrowingApplyResult
    ; 'NarrowingApplyResult? ; 'NarrowingSearchPathResult ;
    'NarrowingSearchPathResult? ; 'NarrowingSearchResult ;
    'NarrowingSearchResult? ; 'NarrowingStep ; 'NarrowingTrace ; 'Nat ;
    'NatList ; 'NeCTermList ; 'NeGroundTermList ; 'NeHookList ; 'NeKindSet ;
    'NeNatList ; 'NeParameterDeclList ; 'NeParameterList ; 'NeQidList ;
    'NeQidSet ; 'NeSortSet ; 'NeTermList ; 'NeTypeList ; 'NeTypeSet ;
    'NeVariableSet ; 'NzNat ; 'OpDecl ; 'OpDeclSet ; 'OpMapping ; 'OpMappingSet
    ; 'ParameterDecl ; 'ParameterDeclList ; 'ParameterList ; 'Parent ;
    'PatternSubjectPair ; 'PrintOption ; 'PrintOptionSet ; 'Qid ; 'QidList ;
    'QidSet ; 'Renaming ; 'RenamingSet ; 'Result4Tuple ; 'Result4Tuple? ;
    'ResultPair ; 'ResultPair? ; 'ResultTriple ; 'ResultTriple? ; 'Rule ;
    'RuleApplication ; 'RuleSet ; 'SModule ; 'STheory ; 'SmtResult ;
    'SmtResult? ; 'Sort ; 'SortMapping ; 'SortMappingSet ; 'SortSet ;
    'SrewriteOption ; 'StratDecl ; 'StratDeclSet ; 'StratDefSet ;
    'StratDefinition ; 'StratMapping ; 'StratMappingSet ; 'StratModule ;
    'StratTheory ; 'Strategy ; 'Strategy? ; 'StrategyList ; 'String ;
    'SubsortDecl ; 'SubsortDeclSet ; 'Substitution ; 'Substitution? ; 'Term ;
    'TermList ; 'TermQid ; 'Trace ; 'Trace? ; 'TraceStep ; 'Type ; 'Type? ;
    'TypeList ; 'TypeListSet ; 'TypeSet ; 'UnificandPair ; 'UnificationPair ;
    'UnificationPair? ; 'UnificationProblem ; 'UnificationTriple ;
    'UnificationTriple? ; 'UsingPair ; 'UsingPairSet ; 'Variable ; 'VariableSet
    ; 'Variant ; 'Variant? ; 'VariantOption ; 'VariantOptionSet ; 'View ;
    'ViewExpression ; 'Zero .
  subsort 'Assignment < 'Substitution .
  subsort 'Attr < 'AttrSet .
  subsort 'CallStrategy < 'Strategy .
  subsort 'Char < 'String .
  subsort 'Constant < 'GroundTerm .
  subsort 'Constant < 'TermQid .
  subsort 'Context < 'NeCTermList .
  subsort 'EmptyCommaList < 'GroundTermList .
  subsort 'EmptyCommaList < 'ParameterList .
  subsort 'EmptyQidSet < 'KindSet .
  subsort 'EmptyQidSet < 'SortSet .
  subsort 'EmptyQidSet < 'VariableSet .
  subsort 'EqCondition < 'Condition .
  subsort 'Equation < 'EquationSet .
  subsort 'Expression < 'ModuleExpression .
  subsort 'Expression < 'ViewExpression .
  subsort 'FModule < 'SModule .
  subsort 'FTheory < 'STheory .
  subsort 'GroundTerm < 'NeGroundTermList .
  subsort 'GroundTerm < 'Term .
  subsort 'GroundTermList < 'TermList .
  subsort 'Hook < 'NeHookList .
  subsort 'Import < 'ImportList .
  subsort 'Kind < 'NeKindSet .
  subsort 'Kind < 'Type .
  subsort 'KindSet < 'TypeSet .
  subsort 'MatchPair < 'MatchOrUnificationPair .
  subsort 'MatchPair < 'MatchPair? .
  subsort 'MembAx < 'MembAxSet .
  subsort 'NarrowingApplyResult < 'NarrowingApplyResult? .
  subsort 'NarrowingSearchPathResult < 'NarrowingSearchPathResult? .
  subsort 'NarrowingSearchResult < 'NarrowingSearchResult? .
  subsort 'NarrowingStep < 'NarrowingTrace .
  subsort 'Nat < 'Bound .
  subsort 'Nat < 'FindResult .
  subsort 'Nat < 'NeNatList .
  subsort 'Nat < 'Parent .
  subsort 'NeCTermList < 'GTermList .
  subsort 'NeGroundTermList < 'GroundTermList .
  subsort 'NeGroundTermList < 'NeTermList .
  subsort 'NeHookList < 'HookList .
  subsort 'NeKindSet < 'KindSet .
  subsort 'NeKindSet < 'NeTypeSet .
  subsort 'NeNatList < 'NatList .
  subsort 'NeParameterDeclList < 'ParameterDeclList .
  subsort 'NeParameterList < 'ParameterList .
  subsort 'NeQidList < 'QidList .
  subsort 'NeQidSet < 'QidSet .
  subsort 'NeSortSet < 'NeTypeSet .
  subsort 'NeSortSet < 'SortSet .
  subsort 'NeTermList < 'TermList .
  subsort 'NeTypeList < 'NeQidList .
  subsort 'NeTypeList < 'TypeList .
  subsort 'NeTypeSet < 'NeQidSet .
  subsort 'NeTypeSet < 'TypeSet .
  subsort 'NeVariableSet < 'NeQidSet .
  subsort 'NeVariableSet < 'VariableSet .
  subsort 'NzNat < 'Nat .
  subsort 'OpDecl < 'OpDeclSet .
  subsort 'OpMapping < 'OpMappingSet .
  subsort 'ParameterDecl < 'NeParameterDeclList .
  subsort 'PatternSubjectPair < 'MatchingProblem .
  subsort 'PrintOption < 'PrintOptionSet .
  subsort 'Qid < 'Header .
  subsort 'Qid < 'NeQidList .
  subsort 'Qid < 'NeQidSet .
  subsort 'Renaming < 'RenamingSet .
  subsort 'Result4Tuple < 'Result4Tuple? .
  subsort 'ResultPair < 'ResultPair? .
  subsort 'ResultTriple < 'ResultTriple? .
  subsort 'Rule < 'RuleSet .
  subsort 'RuleApplication < 'Strategy .
  subsort 'SModule < 'Module .
  subsort 'SModule < 'StratModule .
  subsort 'STheory < 'Module .
  subsort 'STheory < 'StratTheory .
  subsort 'SmtResult < 'SmtResult? .
  subsort 'Sort < 'Expression .
  subsort 'Sort < 'NeSortSet .
  subsort 'Sort < 'Type .
  subsort 'SortMapping < 'SortMappingSet .
  subsort 'SortSet < 'TypeSet .
  subsort 'StratDecl < 'StratDeclSet .
  subsort 'StratDefinition < 'StratDefSet .
  subsort 'StratMapping < 'StratMappingSet .
  subsort 'StratModule < 'Module .
  subsort 'StratTheory < 'Module .
  subsort 'Strategy < 'Strategy? .
  subsort 'Strategy < 'StrategyList .
  subsort 'SubsortDecl < 'SubsortDeclSet .
  subsort 'Substitution < 'Substitution? .
  subsort 'Term < 'NeTermList .
  subsort 'TermList < 'GTermList .
  subsort 'TermQid < 'Qid .
  subsort 'TermQid < 'Term .
  subsort 'Trace < 'Trace? .
  subsort 'TraceStep < 'Trace .
  subsort 'Type < 'NeTypeList .
  subsort 'Type < 'NeTypeSet .
  subsort 'Type < 'Qid .
  subsort 'Type < 'Type? .
  subsort 'TypeList < 'QidList .
  subsort 'TypeList < 'TypeListSet .
  subsort 'TypeSet < 'QidSet .
  subsort 'TypeSet < 'TypeListSet .
  subsort 'UnificandPair < 'UnificationProblem .
  subsort 'UnificationPair < 'MatchOrUnificationPair .
  subsort 'UnificationPair < 'UnificationPair? .
  subsort 'UnificationTriple < 'UnificationTriple? .
  subsort 'UsingPair < 'UsingPairSet .
  subsort 'Variable < 'NeVariableSet .
  subsort 'Variable < 'TermQid .
  subsort 'VariableSet < 'QidSet .
  subsort 'Variant < 'Variant? .
  subsort 'VariantOption < 'VariantOptionSet .
  subsort 'ViewExpression < 'NeParameterList .
  subsort 'Zero < 'Nat .
  op '$applySubstitution : 'NeTermList 'Substitution -> 'Term [none] .
  op '$card : 'QidSet 'Nat -> 'Nat [none] .
  op '$diff : 'QidSet 'QidSet 'QidSet -> 'QidSet [none] .
  op '$intersect : 'QidSet 'QidSet 'QidSet -> 'QidSet [none] .
  op '$reverse : 'NatList 'NatList -> 'NatList [none] .
  op '$reverse : 'QidList 'QidList -> 'QidList [none] .
  op '$size : 'NatList 'Nat -> 'Nat [none] .
  op '$size : 'QidList 'Nat -> 'Nat [none] .
  op '0 : nil -> 'Zero [ctor] .
  op '<Qids> : nil -> 'Constant [special(
    id-hook('QuotedIdentifierSymbol, 'constantQid))] .
  op '<Qids> : nil -> 'Kind [special(
    id-hook('QuotedIdentifierSymbol, 'kindQid))] .
  op '<Qids> : nil -> 'Qid [special(
    id-hook('QuotedIdentifierSymbol, nil))] .
  op '<Qids> : nil -> 'Sort [special(
    id-hook('QuotedIdentifierSymbol, 'sortQid))] .
  op '<Qids> : nil -> 'Variable [special(
    id-hook('QuotedIdentifierSymbol, 'variableQid))] .
  op '<Strings> : nil -> 'Char [special(
    id-hook('StringSymbol, nil))] .
  op '<Strings> : nil -> 'String [special(
    id-hook('StringSymbol, nil))] .
  op '_! : 'Strategy -> 'Strategy [ctor] .
  op '_&_ : 'Nat 'Nat -> 'Nat [assoc comm prec(53) special(
    id-hook('ACU_NumberOpSymbol, '&) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_* : 'Strategy -> 'Strategy [ctor] .
  op '_*_ : 'Nat 'Nat -> 'Nat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'NzNat 'NzNat -> 'NzNat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*`(_`) : 'ModuleExpression 'RenamingSet -> 'ModuleExpression [ctor prec(
    39) format('d 'd 's 'n++i 'n--i 'd)] .
  op '_+ : 'Strategy -> 'Strategy [ctor] .
  op '_+_ : 'ModuleExpression 'ModuleExpression -> 'ModuleExpression [assoc
    comm ctor] .
  op '_+_ : 'Nat 'Nat -> 'Nat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'String 'String -> 'String [prec(33) gather('E 'e) special(
    id-hook('StringOpSymbol, '+) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op '_/\_ : 'Condition 'Condition -> 'Condition [assoc ctor id(
    'nil.EqCondition) prec(73)] .
  op '_/\_ : 'EqCondition 'EqCondition -> 'EqCondition [assoc ctor id(
    'nil.EqCondition) prec(73)] .
  op '_/\_ : 'MatchingProblem 'MatchingProblem -> 'MatchingProblem [assoc comm
    ctor prec(73)] .
  op '_/\_ : 'UnificationProblem 'UnificationProblem -> 'UnificationProblem [
    assoc comm ctor prec(73)] .
  op '_::_ : 'Sort 'ModuleExpression -> 'ParameterDecl [none] .
  op '_:=_ : 'Term 'Term -> 'EqCondition [ctor prec(71)] .
  op '_:_ : 'Term 'Sort -> 'EqCondition [ctor prec(71)] .
  op '_;_ : 'EmptyQidSet 'EmptyQidSet -> 'EmptyQidSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'KindSet 'KindSet -> 'KindSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeKindSet 'KindSet -> 'NeKindSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeQidSet 'QidSet -> 'NeQidSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeSortSet 'SortSet -> 'NeSortSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeTypeSet 'TypeSet -> 'NeTypeSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'NeVariableSet 'VariableSet -> 'NeVariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'QidSet 'QidSet -> 'QidSet [assoc comm ctor id('none.EmptyQidSet)
    prec(43)] .
  op '_;_ : 'SortSet 'SortSet -> 'SortSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'Strategy 'Strategy -> 'Strategy [assoc ctor id('idle.Strategy)
    prec(39) gather('e 'E)] .
  op '_;_ : 'Substitution 'Substitution -> 'Substitution [assoc comm ctor id(
    'none.Substitution) prec(65)] .
  op '_;_ : 'TypeListSet 'TypeListSet -> 'TypeListSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'TypeSet 'TypeSet -> 'TypeSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_;_ : 'VariableSet 'VariableSet -> 'VariableSet [assoc comm ctor id(
    'none.EmptyQidSet) prec(43)] .
  op '_<-_ : 'Variable 'Term -> 'Assignment [ctor prec(63) format('n++i 'd 'd
    '--)] .
  op '_<<_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '<<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<=?_ : 'Term 'Term -> 'PatternSubjectPair [ctor prec(71)] .
  op '_<=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
  op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
  op '_=>_ : 'Term 'Term -> 'Condition [ctor prec(71)] .
  op '_=?_ : 'Term 'Term -> 'UnificandPair [ctor prec(71)] .
  op '_=_ : 'Term 'Term -> 'EqCondition [ctor prec(71)] .
  op '_>=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>>_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '>>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_>_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_?_:_ : 'Strategy 'Strategy 'Strategy -> 'Strategy [ctor prec(55)] .
  op '_\_ : 'QidSet 'QidSet -> 'QidSet [gather('E 'e)] .
  op '_^_ : 'Nat 'Nat -> 'Nat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_^_ : 'NzNat 'Nat -> 'NzNat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '__ : 'AttrSet 'AttrSet -> 'AttrSet [assoc comm ctor id('none.AttrSet)] .
  op '__ : 'EquationSet 'EquationSet -> 'EquationSet [assoc comm ctor id(
    'none.EquationSet) format('d 'ni 'd)] .
  op '__ : 'HookList 'HookList -> 'HookList [assoc ctor id('nil.HookList)] .
  op '__ : 'HookList 'NeHookList -> 'NeHookList [assoc ctor id('nil.HookList)]
    .
  op '__ : 'ImportList 'ImportList -> 'ImportList [assoc ctor id(
    'nil.ImportList) format('d 'ni 'd)] .
  op '__ : 'MembAxSet 'MembAxSet -> 'MembAxSet [assoc comm ctor id(
    'none.MembAxSet) format('d 'ni 'd)] .
  op '__ : 'NarrowingTrace 'NarrowingTrace -> 'NarrowingTrace [assoc ctor id(
    'nil.NarrowingTrace)] .
  op '__ : 'NatList 'NatList -> 'NatList [assoc ctor id('nil.NatList) prec(25)]
    .
  op '__ : 'NatList 'NeNatList -> 'NeNatList [assoc ctor id('nil.NatList) prec(
    25)] .
  op '__ : 'NeHookList 'HookList -> 'NeHookList [assoc ctor id('nil.HookList)]
    .
  op '__ : 'NeNatList 'NatList -> 'NeNatList [assoc ctor id('nil.NatList) prec(
    25)] .
  op '__ : 'NeQidList 'QidList -> 'NeQidList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'NeTypeList 'TypeList -> 'NeTypeList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'OpDeclSet 'OpDeclSet -> 'OpDeclSet [assoc comm ctor id(
    'none.OpDeclSet) format('d 'ni 'd)] .
  op '__ : 'OpMappingSet 'OpMappingSet -> 'OpMappingSet [assoc comm ctor id(
    'none.OpMappingSet) format('d 'ni 'd)] .
  op '__ : 'PrintOptionSet 'PrintOptionSet -> 'PrintOptionSet [assoc comm ctor
    id('none.PrintOptionSet)] .
  op '__ : 'QidList 'NeQidList -> 'NeQidList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'QidList 'QidList -> 'QidList [assoc ctor id('nil.TypeList) prec(
    25)] .
  op '__ : 'RuleSet 'RuleSet -> 'RuleSet [assoc comm ctor id('none.RuleSet)
    format('d 'ni 'd)] .
  op '__ : 'SortMappingSet 'SortMappingSet -> 'SortMappingSet [assoc comm ctor
    id('none.SortMappingSet) format('d 'ni 'd)] .
  op '__ : 'StratDeclSet 'StratDeclSet -> 'StratDeclSet [assoc comm ctor id(
    'none.StratDeclSet) format('d 'ni 'd)] .
  op '__ : 'StratDefSet 'StratDefSet -> 'StratDefSet [assoc comm ctor id(
    'none.StratDefSet) format('d 'ni 'd)] .
  op '__ : 'StratMappingSet 'StratMappingSet -> 'StratMappingSet [assoc comm
    ctor id('none.StratMappingSet) format('d 'ni 'd)] .
  op '__ : 'SubsortDeclSet 'SubsortDeclSet -> 'SubsortDeclSet [assoc comm ctor
    id('none.SubsortDeclSet) format('d 'ni 'd)] .
  op '__ : 'Trace 'Trace -> 'Trace [assoc ctor id('nil.Trace) format('d 'n 'd)]
    .
  op '__ : 'TypeList 'NeTypeList -> 'NeTypeList [assoc ctor id('nil.TypeList)
    prec(25)] .
  op '__ : 'TypeList 'TypeList -> 'TypeList [assoc ctor id('nil.TypeList) prec(
    25)] .
  op '__ : 'VariantOptionSet 'VariantOptionSet -> 'VariantOptionSet [assoc comm
    ctor id('none.VariantOptionSet)] .
  op '_`,_ : 'EmptyCommaList 'EmptyCommaList -> 'EmptyCommaList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'GTermList 'GTermList -> 'GTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'GroundTermList 'GroundTermList -> 'GroundTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'GroundTermList 'NeGroundTermList -> 'NeGroundTermList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeCTermList 'TermList -> 'NeCTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeGroundTermList 'GroundTermList -> 'NeGroundTermList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeParameterDeclList 'ParameterDeclList -> 'NeParameterDeclList [
    assoc ctor id('nil.ParameterDeclList) prec(121)] .
  op '_`,_ : 'NeParameterList 'ParameterList -> 'NeParameterList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'NeTermList 'TermList -> 'NeTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'ParameterDeclList 'NeParameterDeclList -> 'NeParameterDeclList [
    assoc ctor id('nil.ParameterDeclList) prec(121)] .
  op '_`,_ : 'ParameterDeclList 'ParameterDeclList -> 'ParameterDeclList [assoc
    ctor id('nil.ParameterDeclList) prec(121)] .
  op '_`,_ : 'ParameterList 'NeParameterList -> 'NeParameterList [assoc ctor
    id('empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'ParameterList 'ParameterList -> 'ParameterList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'RenamingSet 'RenamingSet -> 'RenamingSet [assoc comm ctor prec(
    43) format('d 'd 'ni 'd)] .
  op '_`,_ : 'StrategyList 'StrategyList -> 'StrategyList [assoc ctor id(
    'empty.StrategyList)] .
  op '_`,_ : 'TermList 'NeCTermList -> 'NeCTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'TermList 'NeTermList -> 'NeTermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'TermList 'TermList -> 'TermList [assoc ctor id(
    'empty.EmptyCommaList) prec(121) gather('e 'E)] .
  op '_`,_ : 'UsingPairSet 'UsingPairSet -> 'UsingPairSet [assoc comm ctor
    prec(61)] .
  op '_`[_`] : 'Qid 'NeCTermList -> 'Context [ctor] .
  op '_`[_`] : 'Qid 'NeGroundTermList -> 'GroundTerm [ctor] .
  op '_`[_`] : 'Qid 'NeTermList -> 'Term [ctor] .
  op '_`[_`]`{_`} : 'Qid 'Substitution 'StrategyList -> 'RuleApplication [ctor
    prec(21)] .
  op '_`[`[_`]`] : 'Qid 'TermList -> 'CallStrategy [ctor prec(21)] .
  op '_`{_`} : 'Expression 'NeParameterList -> 'Expression [ctor prec(37)] .
  op '_`{_`} : 'ModuleExpression 'NeParameterList -> 'ModuleExpression [ctor
    prec(37)] .
  op '_`{_`} : 'Qid 'ParameterDeclList -> 'Header [ctor] .
  op '_`{_`} : 'ViewExpression 'NeParameterList -> 'ViewExpression [ctor prec(
    37)] .
  op '_and-then_ : 'Bool 'Bool -> 'Bool [strat(1 0) prec(55) gather('e 'E)] .
  op '_and_ : 'Bool 'Bool -> 'Bool [assoc comm prec(55)] .
  op '_divides_ : 'NzNat 'Nat -> 'Bool [prec(51) special(
    id-hook('NumberOpSymbol, 'divides) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_implies_ : 'Bool 'Bool -> 'Bool [prec(61) gather('e 'E)] .
  op '_in_ : 'Qid 'QidSet -> 'Bool [none] .
  op '_or-else_ : 'Bool 'Bool -> 'Bool [strat(1 0) prec(59) gather('e 'E)] .
  op '_or-else_ : 'Strategy 'Strategy -> 'Strategy [assoc ctor prec(43) gather(
    'e 'E)] .
  op '_or_ : 'Bool 'Bool -> 'Bool [assoc comm prec(59)] .
  op '_psubset_ : 'QidSet 'QidSet -> 'Bool [none] .
  op '_quo_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'quo) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_rem_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'rem) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_subset_ : 'QidSet 'QidSet -> 'Bool [none] .
  op '_using_ : 'Variable 'Strategy -> 'UsingPair [ctor prec(21)] .
  op '_xor_ : 'Bool 'Bool -> 'Bool [assoc comm prec(57)] .
  op '_xor_ : 'Nat 'Nat -> 'Nat [assoc comm prec(55) special(
    id-hook('ACU_NumberOpSymbol, 'xor) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Nat 'Nat -> 'Nat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Strategy 'Strategy -> 'Strategy [assoc comm ctor id(
    'fail.Strategy) prec(41) gather('e 'E)] .
  op '`[_`] : 'Qid -> 'Module [none] .
  op '`[`] : nil -> 'Context [ctor] .
  op '`{_`,_`,_`,_`,_`,_`,_`} : 'Context 'Qid 'Substitution 'Qid 'Term 'Type
    'Substitution -> 'NarrowingStep [ctor format('ni 'n++i 'd 'ni 'd 's 'd 'ni
    'd 'ni 'd 's 'd 's 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Context 'Qid 'Substitution
    'Substitution 'Qid -> 'NarrowingApplyResult [ctor format('d 'n++i 'd 's 'd
    'ni 'd 'ni 'd 's 'd 's 'd 'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'NarrowingTrace
    'Substitution 'Qid -> 'NarrowingSearchPathResult [ctor format('d 'n++i 'd
    's 'd 's 'd 's 'd 's 'd 'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Qid 'Substitution 'Qid
    -> 'NarrowingSearchResult [ctor format('d 'n++i 'd 's 'd 's 'd 'ni 'd 's 'd
    'ni 'n--i 'd)] .
  op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Nat 'Parent 'Bool -> 'Variant [
    ctor] .
  op '`{_`,_`,_`,_`,_`} : 'Term 'Substitution 'Qid 'Parent 'Bool -> 'Variant [
    ctor] .
  op '`{_`,_`,_`,_`} : 'Term 'Substitution 'Term 'Nat -> 'SmtResult [ctor] .
  op '`{_`,_`,_`,_`} : 'Term 'Type 'Substitution 'Context -> 'Result4Tuple [
    ctor] .
  op '`{_`,_`,_`} : 'Substitution 'Substitution 'Nat -> 'UnificationTriple [
    ctor] .
  op '`{_`,_`,_`} : 'Substitution 'Substitution 'Qid -> 'UnificationTriple [
    ctor] .
  op '`{_`,_`,_`} : 'Term 'Type 'Rule -> 'TraceStep [ctor] .
  op '`{_`,_`,_`} : 'Term 'Type 'Substitution -> 'ResultTriple [ctor] .
  op '`{_`,_`} : 'Substitution 'Context -> 'MatchPair [ctor] .
  op '`{_`,_`} : 'Substitution 'Nat -> 'UnificationPair [ctor] .
  op '`{_`,_`} : 'Substitution 'Qid -> 'UnificationPair [ctor] .
  op '`{_`,_`} : 'Term 'Type -> 'ResultPair [ctor] .
  op 'all : nil -> 'RuleApplication [ctor] .
  op 'amatch_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
  op 'amatchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor]
    .
  op 'ambiguity : 'ResultPair 'ResultPair -> 'ResultPair? [ctor] .
  op 'ambiguity : 'Strategy 'Strategy -> 'Strategy? [ctor] .
  op 'anyType : nil -> 'Type? [ctor] .
  op 'append : 'NatList 'NatList -> 'NatList [none] .
  op 'append : 'NatList 'NeNatList -> 'NeNatList [none] .
  op 'append : 'NeNatList 'NatList -> 'NeNatList [none] .
  op 'append : 'NeQidList 'QidList -> 'NeQidList [none] .
  op 'append : 'QidList 'NeQidList -> 'NeQidList [none] .
  op 'append : 'QidList 'QidList -> 'QidList [none] .
  op 'applySubstitution : 'Module 'Term 'Substitution -> 'Term [none] .
  op 'ascii : 'Char -> 'Nat [special(
    id-hook('StringOpSymbol, 'ascii) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'assoc : nil -> 'Attr [ctor] .
  op 'breadthFirst : nil -> 'SrewriteOption [ctor] .
  op 'ceq_=_if_`[_`]. : 'Term 'Term 'EqCondition 'AttrSet -> 'Equation [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'char : '`[FindResult`,NatList`,Bound`,Parent`] -> '`[String`] [special(
    id-hook('StringOpSymbol, 'char) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'cmb_:_if_`[_`]. : 'Term 'Sort 'EqCondition 'AttrSet -> 'MembAx [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'comm : nil -> 'Attr [ctor] .
  op 'completeName : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCompleteName) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'config : nil -> 'Attr [ctor] .
  op 'crl_=>_if_`[_`]. : 'Term 'Term 'Condition 'AttrSet -> 'Rule [ctor format(
    'd 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'csd_:=_if_`[_`]. : 'CallStrategy 'Strategy 'EqCondition 'AttrSet ->
    'StratDefinition [ctor format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'ctor : nil -> 'Attr [ctor] .
  op 'delay : nil -> 'VariantOption [ctor] .
  op 'delete : 'Qid 'QidSet -> 'QidSet [none] .
  op 'depthFirst : nil -> 'SrewriteOption [ctor] .
  op 'downTerm : 'Term 'Universal -> 'Universal [poly(2 0) special(
    id-hook('MetaLevelOpSymbol, 'metaDownTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'empty : nil -> 'EmptyCommaList [ctor] .
  op 'empty : nil -> 'GroundTermList [ctor] .
  op 'empty : nil -> 'StrategyList [ctor] .
  op 'eq_=_`[_`]. : 'Term 'Term 'AttrSet -> 'Equation [ctor format('d 'd 'd 'd
    's 'd 'd 's 'd)] .
  op 'extending_. : 'ModuleExpression -> 'Import [ctor] .
  op 'fail : nil -> 'Strategy [ctor] .
  op 'failure : nil -> 'NarrowingApplyResult? [ctor] .
  op 'failure : nil -> 'NarrowingSearchPathResult? [ctor] .
  op 'failure : nil -> 'NarrowingSearchResult? [ctor] .
  op 'failure : nil -> 'Result4Tuple? [ctor] .
  op 'failure : nil -> 'ResultPair? [ctor] .
  op 'failure : nil -> 'ResultTriple? [ctor] .
  op 'failure : nil -> 'SmtResult? [ctor] .
  op 'failure : nil -> 'Trace? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingApplyResult? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingSearchPathResult? [ctor] .
  op 'failureIncomplete : nil -> 'NarrowingSearchResult? [ctor] .
  op 'failureIncomplete : nil -> 'ResultTriple? [ctor] .
  op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
  op 'filter : nil -> 'VariantOption [ctor] .
  op 'find : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'find) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
  op 'flat : nil -> 'PrintOption [ctor] .
  op 'fmod_is_sorts_.____endfm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet -> 'FModule [ctor gather('& '& '& '& '&
    '& '&) format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'format : 'QidList -> 'Attr [ctor] .
  op 'format : nil -> 'PrintOption [ctor] .
  op 'front : 'NeNatList -> 'NatList [none] .
  op 'front : 'NeQidList -> 'QidList [none] .
  op 'frozen : 'NeNatList -> 'Attr [ctor] .
  op 'fth_is_sorts_.____endfth : 'Qid 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet -> 'FTheory [ctor gather('& '& '& '& '&
    '& '&) format('d 'd 'd 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'gather : 'QidList -> 'Attr [ctor] .
  op 'gcd : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'gcd : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'generated-by_. : 'ModuleExpression -> 'Import [ctor] .
  op 'getAccumulatedSubstitution : 'NarrowingSearchResult -> 'Substitution [
    none] .
  op 'getAccumulatedSubstitution : 'NarrowingStep -> 'Substitution [none] .
  op 'getContext : 'MatchPair -> 'Context [none] .
  op 'getContext : 'NarrowingApplyResult -> 'Context [none] .
  op 'getContext : 'NarrowingStep -> 'Context [none] .
  op 'getContext : 'Result4Tuple -> 'Context [none] .
  op 'getEqs : 'Module -> 'EquationSet [none] .
  op 'getFrom : 'View -> 'ModuleExpression [none] .
  op 'getImports : 'Module -> 'ImportList [none] .
  op 'getInitialSubstitution : 'NarrowingSearchPathResult -> 'Substitution [
    none] .
  op 'getInitialTerm : 'NarrowingSearchPathResult -> 'Term [none] .
  op 'getInitialType : 'NarrowingSearchPathResult -> 'Type [none] .
  op 'getKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'getKinds : '`[Module`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetKinds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'getLabel : 'NarrowingApplyResult -> 'Qid [none] .
  op 'getLabel : 'NarrowingStep -> 'Qid [none] .
  op 'getLhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
  op 'getMbs : 'Module -> 'MembAxSet [none] .
  op 'getMoreVariantsInLayerFlag : 'Variant -> 'Bool [none] .
  op 'getName : 'Constant -> 'Qid [none] .
  op 'getName : 'Module -> 'Qid [none] .
  op 'getName : 'Variable -> 'Qid [none] .
  op 'getName : 'View -> 'Qid [none] .
  op 'getOpMappings : 'View -> 'OpMappingSet [none] .
  op 'getOps : 'Module -> 'OpDeclSet [none] .
  op 'getParent : 'Variant -> 'Parent [none] .
  op 'getRhsSubstitution : 'UnificationTriple -> 'Substitution [none] .
  op 'getRls : 'Module -> 'RuleSet [none] .
  op 'getRule : 'TraceStep -> 'Rule [none] .
  op 'getRuleSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
  op 'getSds : 'Module -> 'StratDefSet [none] .
  op 'getSortMappings : 'View -> 'SortMappingSet [none] .
  op 'getSorts : 'Module -> 'SortSet [none] .
  op 'getStateVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
  op 'getStratMappings : 'View -> 'StratMappingSet [none] .
  op 'getStrats : 'Module -> 'StratDeclSet [none] .
  op 'getSubsorts : 'Module -> 'SubsortDeclSet [none] .
  op 'getSubstitution : 'MatchPair -> 'Substitution [none] .
  op 'getSubstitution : 'Result4Tuple -> 'Substitution [none] .
  op 'getSubstitution : 'ResultTriple -> 'Substitution [none] .
  op 'getSubstitution : 'UnificationPair -> 'Substitution [none] .
  op 'getSubstitution : 'Variant -> 'Substitution [none] .
  op 'getTerm : 'NarrowingApplyResult -> 'Term [none] .
  op 'getTerm : 'NarrowingSearchResult -> 'Term [none] .
  op 'getTerm : 'NarrowingStep -> 'Term [none] .
  op 'getTerm : 'Result4Tuple -> 'Term [none] .
  op 'getTerm : 'ResultPair -> 'Term [none] .
  op 'getTerm : 'ResultTriple -> 'Term [none] .
  op 'getTerm : 'TraceStep -> 'Term [none] .
  op 'getTerm : 'Variant -> 'Term [none] .
  op 'getTermSubstitution : 'NarrowingApplyResult -> 'Substitution [none] .
  op 'getTo : 'View -> 'ModuleExpression [none] .
  op 'getTrace : 'NarrowingSearchPathResult -> 'NarrowingTrace [none] .
  op 'getType : 'Constant -> 'Type [none] .
  op 'getType : 'NarrowingApplyResult -> 'Type [none] .
  op 'getType : 'NarrowingSearchResult -> 'Type [none] .
  op 'getType : 'NarrowingStep -> 'Type [none] .
  op 'getType : 'Result4Tuple -> 'Type [none] .
  op 'getType : 'ResultPair -> 'Type [none] .
  op 'getType : 'ResultTriple -> 'Type [none] .
  op 'getType : 'TraceStep -> 'Type [none] .
  op 'getType : 'Variable -> 'Type [none] .
  op 'getUnifier : 'NarrowingSearchPathResult -> 'Substitution [none] .
  op 'getUnifier : 'NarrowingSearchResult -> 'Substitution [none] .
  op 'getUnifier : 'NarrowingStep -> 'Substitution [none] .
  op 'getUnifierVariableFamily : 'NarrowingSearchPathResult -> 'Qid [none] .
  op 'getUnifierVariableFamily : 'NarrowingSearchResult -> 'Qid [none] .
  op 'getUnifierVariableFamily : 'NarrowingStep -> 'Qid [none] .
  op 'getVariableFamily : 'NarrowingApplyResult -> 'Qid [none] .
  op 'getVariableFamily : 'UnificationPair -> 'Qid [none] .
  op 'getVariableFamily : 'UnificationTriple -> 'Qid [none] .
  op 'getVariableFamily : 'Variant -> 'Qid [none] .
  op 'glbSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaGlbSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'head : 'NeNatList -> 'Nat [none] .
  op 'head : 'NeQidList -> 'Qid [none] .
  op 'id : 'Term -> 'Attr [ctor] .
  op 'id-hook : 'Qid 'QidList -> 'Hook [ctor format('nssss 'd)] .
  op 'idem : nil -> 'Attr [ctor] .
  op 'idle : nil -> 'Strategy [ctor] .
  op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
  op 'including_. : 'ModuleExpression -> 'Import [ctor] .
  op 'insert : 'Qid 'QidSet -> 'QidSet [none] .
  op 'intersection : 'QidSet 'QidSet -> 'QidSet [none] .
  op 'iter : nil -> 'Attr [ctor] .
  op 'label : 'Qid -> 'Attr [ctor] .
  op 'label_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
  op 'last : 'NeNatList -> 'Nat [none] .
  op 'last : 'NeQidList -> 'Qid [none] .
  op 'latex : 'String -> 'Attr [ctor] .
  op 'lcm : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lcm : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'leastSort : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLeastSort) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'left-id : 'Term -> 'Attr [ctor] .
  op 'length : 'String -> 'Nat [special(
    id-hook('StringOpSymbol, 'length) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lesserSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaLesserSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'lowerCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'lowerCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'match_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
  op 'matchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor]
    .
  op 'max : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'maximalAritySet : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalAritySet) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'maximalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMaximalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'mb_:_`[_`]. : 'Term 'Sort 'AttrSet -> 'MembAx [ctor format('d 'd 'd 'd 's
    'd 'd 's 'd)] .
  op 'memo : nil -> 'Attr [ctor] .
  op 'metaApply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaCheck : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaCheck) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaFrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaFrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetIrredundantVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetIrredundantVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaGetVariant : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Variant?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaGetVariant) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaIrredundantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaIrredundantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaIrredundantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaMatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] '`[Bool`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow2) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrow : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrow) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'Nat ->
    'NarrowingApplyResult? [none] .
  op 'metaNarrowingApply : 'Module 'Term 'TermList 'Qid 'VariantOptionSet 'Nat
    -> 'NarrowingApplyResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingApply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchResult? [none] .
  op 'metaNarrowingSearch : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid 'Nat ->
    'NarrowingSearchPathResult? [none] .
  op 'metaNarrowingSearchPath : 'Module 'Term 'Term 'Qid 'Bound 'Qid
    'VariantOptionSet 'Nat -> 'NarrowingSearchPathResult? [special(
    id-hook('MetaLevelOpSymbol, 'metaNarrowingSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaNormalize : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaNormalize) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [
    none] .
  op 'metaParse : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParse) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaParseStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] ->
    '`[StrategyList`,Strategy?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaParseStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [none] .
  op 'metaPrettyPrint : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrint) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrettyPrintStrategy : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[StrategyList`,Strategy?`] '`[PrintOptionSet`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrettyPrintStrategy) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaPrintToString : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[PrintOptionSet`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[String`] [special(
    id-hook('MetaLevelOpSymbol, 'metaPrintToString) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaReduce : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaReduce) 
    op-hook('qidSymbol, '<Qids>, nil, 'Qid) 
    op-hook('metaTermSymbol, '_`[_`], 'Qid 'NeGroundTermList, 'GroundTerm) 
    op-hook('metaArgSymbol, '_`,_, 'NeGroundTermList 'GroundTermList,
    'NeGroundTermList) 
    op-hook('emptyTermListSymbol, 'empty, nil, 'GroundTermList) 
    op-hook('assignmentSymbol, '_<-_, 'Variable 'Term, 'Assignment) 
    op-hook('emptySubstitutionSymbol, 'none, nil, 'Substitution) 
    op-hook('substitutionSymbol, '_;_, 'Substitution 'Substitution,
    'Substitution) 
    op-hook('holeSymbol, '`[`], nil, 'Context) 
    op-hook('noConditionSymbol, 'nil, nil, 'EqCondition) 
    op-hook('equalityConditionSymbol, '_=_, 'Term 'Term, 'EqCondition) 
    op-hook('sortTestConditionSymbol, '_:_, 'Term 'Sort, 'EqCondition) 
    op-hook('matchConditionSymbol, '_:=_, 'Term 'Term, 'EqCondition) 
    op-hook('rewriteConditionSymbol, '_=>_, 'Term 'Term, 'Condition) 
    op-hook('conjunctionSymbol, '_/\_, 'EqCondition 'EqCondition, 'EqCondition)
    
    op-hook('failStratSymbol, 'fail, nil, 'Strategy) 
    op-hook('idleStratSymbol, 'idle, nil, 'Strategy) 
    op-hook('allStratSymbol, 'all, nil, 'RuleApplication) 
    op-hook('applicationStratSymbol, '_`[_`]`{_`}, 'Qid 'Substitution
    'StrategyList, 'RuleApplication) 
    op-hook('topStratSymbol, 'top, 'RuleApplication, 'Strategy) 
    op-hook('matchStratSymbol, 'match_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('xmatchStratSymbol, 'xmatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('amatchStratSymbol, 'amatch_s.t._, 'Term 'EqCondition, 'Strategy) 
    op-hook('unionStratSymbol, '_|_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('concatStratSymbol, '_;_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('orelseStratSymbol, '_or-else_, 'Strategy 'Strategy, 'Strategy) 
    op-hook('plusStratSymbol, '_+, 'Strategy, 'Strategy) 
    op-hook('conditionalStratSymbol, '_?_:_, 'Strategy 'Strategy 'Strategy,
    'Strategy) 
    op-hook('matchrewStratSymbol, 'matchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('xmatchrewStratSymbol, 'xmatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('amatchrewStratSymbol, 'amatchrew_s.t._by_, 'Term 'EqCondition
    'UsingPairSet, 'Strategy) 
    op-hook('callStratSymbol, '_`[`[_`]`], 'Qid 'TermList, 'CallStrategy) 
    op-hook('oneStratSymbol, 'one, 'Strategy, 'Strategy) 
    op-hook('starStratSymbol, '_*, 'Strategy, 'Strategy) 
    op-hook('normalizationStratSymbol, '_!, 'Strategy, 'Strategy) 
    op-hook('notStratSymbol, 'not, 'Strategy, 'Strategy) 
    op-hook('testStratSymbol, 'test, 'Strategy, 'Strategy) 
    op-hook('tryStratSymbol, 'try, 'Strategy, 'Strategy) 
    op-hook('usingStratSymbol, '_using_, 'Variable 'Strategy, 'UsingPair) 
    op-hook('usingListStratSymbol, '_`,_, 'UsingPairSet 'UsingPairSet,
    'UsingPairSet) 
    op-hook('emptyStratListSymbol, 'empty, nil, 'StrategyList) 
    op-hook('stratListSymbol, '_`,_, 'StrategyList 'StrategyList,
    'StrategyList) 
    op-hook('headerSymbol, '_`{_`}, 'Qid 'ParameterDeclList, 'Header) 
    op-hook('parameterDeclSymbol, '_::_, 'Sort 'ModuleExpression,
    'ParameterDecl) 
    op-hook('parameterDeclListSymbol, '_`,_, 'ParameterDeclList
    'ParameterDeclList, 'ParameterDeclList) 
    op-hook('protectingSymbol, 'protecting_., 'ModuleExpression, 'Import) 
    op-hook('extendingSymbol, 'extending_., 'ModuleExpression, 'Import) 
    op-hook('includingSymbol, 'including_., 'ModuleExpression, 'Import) 
    op-hook('generatedBySymbol, 'generated-by_., 'ModuleExpression, 'Import) 
    op-hook('nilImportListSymbol, 'nil, nil, 'ImportList) 
    op-hook('importListSymbol, '__, 'ImportList 'ImportList, 'ImportList) 
    op-hook('emptySortSetSymbol, 'none, nil, 'QidSet) 
    op-hook('sortSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('subsortSymbol, 'subsort_<_., 'Sort 'Sort, 'SubsortDecl) 
    op-hook('emptySubsortDeclSetSymbol, 'none, nil, 'SubsortDeclSet) 
    op-hook('subsortDeclSetSymbol, '__, 'SubsortDeclSet 'SubsortDeclSet,
    'SubsortDeclSet) 
    op-hook('nilQidListSymbol, 'nil, nil, 'QidList) 
    op-hook('qidListSymbol, '__, 'QidList 'QidList, 'QidList) 
    op-hook('emptyQidSetSymbol, 'none, nil, 'QidSet) 
    op-hook('qidSetSymbol, '_;_, 'QidSet 'QidSet, 'QidSet) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    op-hook('natListSymbol, '__, 'NatList 'NatList, 'NatList) 
    op-hook('unboundedSymbol, 'unbounded, nil, 'Bound) 
    op-hook('noParentSymbol, 'none, nil, 'Parent) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('sortRenamingSymbol, 'sort_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('opRenamingSymbol, 'op_to_`[_`], 'Qid 'Qid 'AttrSet, 'Renaming) 
    op-hook('opRenamingSymbol2, 'op_:_->_to_`[_`], 'Qid 'TypeList 'Type 'Qid
    'AttrSet, 'Renaming) 
    op-hook('labelRenamingSymbol, 'label_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol, 'strat_to_, 'Qid 'Qid, 'Renaming) 
    op-hook('stratRenamingSymbol2, 'strat_:_@_to_, 'Qid 'TypeList 'Type 'Qid,
    'Renaming) 
    op-hook('renamingSetSymbol, '_`,_, 'RenamingSet 'RenamingSet, 'RenamingSet)
    
    op-hook('sumSymbol, '_+_, 'ModuleExpression 'ModuleExpression,
    'ModuleExpression) 
    op-hook('renamingSymbol, '_*`(_`), 'ModuleExpression 'RenamingSet,
    'ModuleExpression) 
    op-hook('instantiationSymbol, '_`{_`}, 'Expression 'NeParameterList,
    'Expression) 
    op-hook('termHookSymbol, 'term-hook, 'Qid 'Term, 'Hook) 
    op-hook('hookListSymbol, '__, 'HookList 'HookList, 'HookList) 
    op-hook('idHookSymbol, 'id-hook, 'Qid 'QidList, 'Hook) 
    op-hook('opHookSymbol, 'op-hook, 'Qid 'Qid 'QidList 'Qid, 'Hook) 
    op-hook('assocSymbol, 'assoc, nil, 'Attr) 
    op-hook('commSymbol, 'comm, nil, 'Attr) 
    op-hook('idemSymbol, 'idem, nil, 'Attr) 
    op-hook('iterSymbol, 'iter, nil, 'Attr) 
    op-hook('idSymbol, 'id, 'Term, 'Attr) 
    op-hook('leftIdSymbol, 'left-id, 'Term, 'Attr) 
    op-hook('rightIdSymbol, 'right-id, 'Term, 'Attr) 
    op-hook('stratSymbol, 'strat, 'NeNatList, 'Attr) 
    op-hook('memoSymbol, 'memo, nil, 'Attr) 
    op-hook('precSymbol, 'prec, 'Nat, 'Attr) 
    op-hook('gatherSymbol, 'gather, 'QidList, 'Attr) 
    op-hook('formatSymbol, 'format, 'QidList, 'Attr) 
    op-hook('latexSymbol, 'latex, 'String, 'Attr) 
    op-hook('ctorSymbol, 'ctor, nil, 'Attr) 
    op-hook('frozenSymbol, 'frozen, 'NeNatList, 'Attr) 
    op-hook('polySymbol, 'poly, 'NeNatList, 'Attr) 
    op-hook('configSymbol, 'config, nil, 'Attr) 
    op-hook('objectSymbol, 'object, nil, 'Attr) 
    op-hook('msgSymbol, 'msg, nil, 'Attr) 
    op-hook('portalSymbol, 'portal, nil, 'Attr) 
    op-hook('pconstSymbol, 'pconst, nil, 'Attr) 
    op-hook('specialSymbol, 'special, 'NeHookList, 'Attr) 
    op-hook('labelSymbol, 'label, 'Qid, 'Attr) 
    op-hook('metadataSymbol, 'metadata, 'String, 'Attr) 
    op-hook('owiseSymbol, 'owise, nil, 'Attr) 
    op-hook('variantAttrSymbol, 'variant, nil, 'Attr) 
    op-hook('narrowingSymbol, 'narrowing, nil, 'Attr) 
    op-hook('nonexecSymbol, 'nonexec, nil, 'Attr) 
    op-hook('printSymbol, 'print, 'QidList, 'Attr) 
    op-hook('emptyAttrSetSymbol, 'none, nil, 'AttrSet) 
    op-hook('attrSetSymbol, '__, 'AttrSet 'AttrSet, 'AttrSet) 
    op-hook('opDeclSymbol, 'op_:_->_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'OpDecl) 
    op-hook('opDeclSetSymbol, '__, 'OpDeclSet 'OpDeclSet, 'OpDeclSet) 
    op-hook('emptyOpDeclSetSymbol, 'none, nil, 'OpDeclSet) 
    op-hook('mbSymbol, 'mb_:_`[_`]., 'Term 'Sort 'AttrSet, 'MembAx) 
    op-hook('cmbSymbol, 'cmb_:_if_`[_`]., 'Term 'Sort 'EqCondition 'AttrSet,
    'MembAx) 
    op-hook('emptyMembAxSetSymbol, 'none, nil, 'MembAxSet) 
    op-hook('membAxSetSymbol, '__, 'MembAxSet 'MembAxSet, 'MembAxSet) 
    op-hook('eqSymbol, 'eq_=_`[_`]., 'Term 'Term 'AttrSet, 'Equation) 
    op-hook('ceqSymbol, 'ceq_=_if_`[_`]., 'Term 'Term 'EqCondition 'AttrSet,
    'Equation) 
    op-hook('emptyEquationSetSymbol, 'none, nil, 'EquationSet) 
    op-hook('equationSetSymbol, '__, 'EquationSet 'EquationSet, 'EquationSet) 
    op-hook('rlSymbol, 'rl_=>_`[_`]., 'Term 'Term 'AttrSet, 'Rule) 
    op-hook('crlSymbol, 'crl_=>_if_`[_`]., 'Term 'Term 'Condition 'AttrSet,
    'Rule) 
    op-hook('emptyRuleSetSymbol, 'none, nil, 'RuleSet) 
    op-hook('ruleSetSymbol, '__, 'RuleSet 'RuleSet, 'RuleSet) 
    op-hook('stratDeclSymbol, 'strat_:_@_`[_`]., 'Qid 'TypeList 'Type 'AttrSet,
    'StratDecl) 
    op-hook('emptyStratDeclSetSymbol, 'none, nil, 'StratDeclSet) 
    op-hook('stratDeclSetSymbol, '__, 'StratDeclSet 'StratDeclSet,
    'StratDeclSet) 
    op-hook('sdSymbol, 'sd_:=_`[_`]., 'CallStrategy 'Strategy 'AttrSet,
    'StratDefinition) 
    op-hook('csdSymbol, 'csd_:=_if_`[_`]., 'CallStrategy 'Strategy 'EqCondition
    'AttrSet, 'StratDefinition) 
    op-hook('emptyStratDefSetSymbol, 'none, nil, 'StratDefSet) 
    op-hook('stratDefSetSymbol, '__, 'StratDefSet 'StratDefSet, 'StratDefSet) 
    op-hook('fmodSymbol, 'fmod_is_sorts_.____endfm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FModule) 
    op-hook('fthSymbol, 'fth_is_sorts_.____endfth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet, 'FTheory) 
    op-hook('modSymbol, 'mod_is_sorts_._____endm, 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'SModule) 
    op-hook('thSymbol, 'th_is_sorts_._____endth, 'Qid 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet, 'STheory) 
    op-hook('smodSymbol, 'smod_is_sorts_._______endsm, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratModule) 
    op-hook('sthSymbol, 'sth_is_sorts_._______endsth, 'Header 'ImportList
    'SortSet 'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet
    'StratDeclSet 'StratDefSet, 'StratTheory) 
    op-hook('sortMappingSymbol, 'sort_to_., 'Sort 'Sort, 'SortMapping) 
    op-hook('emptySortMappingSetSymbol, 'none, nil, 'SortMappingSet) 
    op-hook('sortMappingSetSymbol, '__, 'SortMappingSet 'SortMappingSet,
    'SortMappingSet) 
    op-hook('opMappingSymbol, 'op_to_., 'Qid 'Qid, 'OpMapping) 
    op-hook('opSpecificMappingSymbol, 'op_:_->_to_., 'Qid 'TypeList 'Type 'Qid,
    'OpMapping) 
    op-hook('opTermMappingSymbol, 'op_to`term_., 'Term 'Term, 'OpMapping) 
    op-hook('emptyOpMappingSetSymbol, 'none, nil, 'OpMappingSet) 
    op-hook('opMappingSetSymbol, '__, 'OpMappingSet 'OpMappingSet,
    'OpMappingSet) 
    op-hook('stratMappingSymbol, 'strat_to_., 'Qid 'Qid, 'StratMapping) 
    op-hook('stratSpecificMappingSymbol, 'strat_:_@_to_., 'Qid 'TypeList 'Type
    'Qid, 'StratMapping) 
    op-hook('stratExprMappingSymbol, 'strat_to`expr_., 'CallStrategy 'Strategy,
    'StratMapping) 
    op-hook('emptyStratMappingSetSymbol, 'none, nil, 'StratMappingSet) 
    op-hook('stratMappingSetSymbol, '__, 'StratMappingSet 'StratMappingSet,
    'StratMappingSet) 
    op-hook('viewSymbol, 'view_from_to_is___endv, 'Header 'ModuleExpression
    'ModuleExpression 'SortMappingSet 'OpMappingSet 'StratMappingSet, 'View) 
    op-hook('anyTypeSymbol, 'anyType, nil, 'Type?) 
    op-hook('unificandPairSymbol, '_=?_, 'Term 'Term, 'UnificandPair) 
    op-hook('unificationConjunctionSymbol, '_/\_, 'UnificationProblem
    'UnificationProblem, 'UnificationProblem) 
    op-hook('patternSubjectPairSymbol, '_<=?_, 'Term 'Term,
    'PatternSubjectPair) 
    op-hook('matchingConjunctionSymbol, '_/\_, 'MatchingProblem
    'MatchingProblem, 'MatchingProblem) 
    op-hook('resultPairSymbol, '`{_`,_`}, 'Term 'Type, 'ResultPair) 
    op-hook('resultTripleSymbol, '`{_`,_`,_`}, 'Term 'Type 'Substitution,
    'ResultTriple) 
    op-hook('result4TupleSymbol, '`{_`,_`,_`,_`}, 'Term 'Type 'Substitution
    'Context, 'Result4Tuple) 
    op-hook('matchPairSymbol, '`{_`,_`}, 'Substitution 'Context, 'MatchPair) 
    op-hook('unificationTripleSymbol, '`{_`,_`,_`}, 'Substitution 'Substitution
    'Qid, 'UnificationTriple) 
    op-hook('variantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Qid
    'Parent 'Bool, 'Variant) 
    op-hook('narrowingApplyResultSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Context 'Qid 'Substitution 'Substitution 'Qid, 'NarrowingApplyResult) 
    op-hook('narrowingSearchResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term 'Type
    'Substitution 'Qid 'Substitution 'Qid, 'NarrowingSearchResult) 
    op-hook('traceStepSymbol, '`{_`,_`,_`}, 'Term 'Type 'Rule, 'TraceStep) 
    op-hook('nilTraceSymbol, 'nil, nil, 'Trace) 
    op-hook('traceSymbol, '__, 'Trace 'Trace, 'Trace) 
    op-hook('narrowingStepSymbol, '`{_`,_`,_`,_`,_`,_`,_`}, 'Context 'Qid
    'Substitution 'Qid 'Term 'Type 'Substitution, 'NarrowingStep) 
    op-hook('nilNarrowingTraceSymbol, 'nil, nil, 'NarrowingTrace) 
    op-hook('narrowingTraceSymbol, '__, 'NarrowingTrace 'NarrowingTrace,
    'NarrowingTrace) 
    op-hook('narrowingSearchPathResultSymbol, '`{_`,_`,_`,_`,_`,_`}, 'Term
    'Type 'Substitution 'NarrowingTrace 'Substitution 'Qid,
    'NarrowingSearchPathResult) 
    op-hook('smtResultSymbol, '`{_`,_`,_`,_`}, 'Term 'Substitution 'Term 'Nat,
    'SmtResult) 
    op-hook('noParseSymbol, 'noParse, 'Nat, 'ResultPair?) 
    op-hook('ambiguitySymbol, 'ambiguity, 'ResultPair 'ResultPair,
    'ResultPair?) 
    op-hook('failure2Symbol, 'failure, nil, 'ResultPair?) 
    op-hook('failure3Symbol, 'failure, nil, 'ResultTriple?) 
    op-hook('failureIncomplete3Symbol, 'failureIncomplete, nil, 'ResultTriple?)
    
    op-hook('failure4Symbol, 'failure, nil, 'Result4Tuple?) 
    op-hook('noUnifierPairSymbol, 'noUnifier, nil, 'UnificationPair?) 
    op-hook('noUnifierTripleSymbol, 'noUnifier, nil, 'UnificationTriple?) 
    op-hook('noUnifierIncompletePairSymbol, 'noUnifierIncomplete, nil,
    'UnificationPair?) 
    op-hook('noUnifierIncompleteTripleSymbol, 'noUnifierIncomplete, nil,
    'UnificationTriple?) 
    op-hook('noVariantSymbol, 'noVariant, nil, 'Variant?) 
    op-hook('noVariantIncompleteSymbol, 'noVariantIncomplete, nil, 'Variant?) 
    op-hook('narrowingApplyFailureSymbol, 'failure, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingApplyFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingApplyResult?) 
    op-hook('narrowingSearchFailureSymbol, 'failure, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchFailureIncompleteSymbol, 'failureIncomplete, nil,
    'NarrowingSearchResult?) 
    op-hook('narrowingSearchPathFailureSymbol, 'failure, nil,
    'NarrowingSearchPathResult?) 
    op-hook('narrowingSearchPathFailureIncompleteSymbol, 'failureIncomplete,
    nil, 'NarrowingSearchPathResult?) 
    op-hook('noMatchSubstSymbol, 'noMatch, nil, 'Substitution?) 
    op-hook('noMatchIncompleteSubstSymbol, 'noMatchIncomplete, nil,
    'Substitution?) 
    op-hook('noMatchPairSymbol, 'noMatch, nil, 'MatchPair?) 
    op-hook('failureTraceSymbol, 'failure, nil, 'Trace?) 
    op-hook('smtFailureSymbol, 'failure, nil, 'SmtResult?) 
    op-hook('noStratParseSymbol, 'noStratParse, 'Nat, 'Strategy?) 
    op-hook('stratAmbiguitySymbol, 'ambiguity, 'Strategy 'Strategy, 'Strategy?)
    
    op-hook('mixfixSymbol, 'mixfix, nil, 'PrintOption) 
    op-hook('withParensSymbol, 'with-parens, nil, 'PrintOption) 
    op-hook('withSortsSymbol, 'with-sorts, nil, 'PrintOption) 
    op-hook('flatSymbol, 'flat, nil, 'PrintOption) 
    op-hook('formatPrintOptionSymbol, 'format, nil, 'PrintOption) 
    op-hook('numberSymbol, 'number, nil, 'PrintOption) 
    op-hook('ratSymbol, 'rat, nil, 'PrintOption) 
    op-hook('emptyPrintOptionSetSymbol, 'none, nil, 'PrintOptionSet) 
    op-hook('printOptionSetSymbol, '__, 'PrintOptionSet 'PrintOptionSet,
    'PrintOptionSet) 
    op-hook('delaySymbol, 'delay, nil, 'VariantOption) 
    op-hook('filterSymbol, 'filter, nil, 'VariantOption) 
    op-hook('emptyVariantOptionSetSymbol, 'none, nil, 'VariantOptionSet) 
    op-hook('variantOptionSetSymbol, '__, 'VariantOptionSet 'VariantOptionSet,
    'VariantOptionSet) 
    op-hook('breadthFirstSymbol, 'breadthFirst, nil, 'SrewriteOption) 
    op-hook('depthFirstSymbol, 'depthFirst, nil, 'SrewriteOption) 
    op-hook('legacyUnificationPairSymbol, '`{_`,_`}, 'Substitution 'Nat,
    'UnificationPair) 
    op-hook('legacyUnificationTripleSymbol, '`{_`,_`,_`}, 'Substitution
    'Substitution 'Nat, 'UnificationTriple) 
    op-hook('legacyVariantSymbol, '`{_`,_`,_`,_`,_`}, 'Term 'Substitution 'Nat
    'Parent 'Bool, 'Variant) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op 'metaRewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaRewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[ResultTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSearchPath : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Trace?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSearchPath) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSmtSearch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[SmtResult?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSmtSearch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaSrewrite : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[StrategyList`,Strategy?`]
    '`[SrewriteOption`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[ResultPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSrewrite) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaUnify : '`[Module`] '`[UnificationProblem`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[UnificationTriple?`] [
    special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [none] .
  op 'metaVariantDisjointUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationTriple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantDisjointUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantMatch : '`[Module`] '`[MatchingProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[Substitution?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantMatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'legacyMetaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [none] .
  op 'metaVariantUnify : '`[Module`] '`[UnificationProblem`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[VariantOptionSet`] '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaVariantUnify) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaXapply : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Substitution?`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] -> '`[Result4Tuple?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXapply) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metaXmatch : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Condition`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[UnificationPair?`,MatchOrUnificationPair`,MatchPair?`] [special(
    id-hook('MetaLevelOpSymbol, 'metaXmatch) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'metadata : 'String -> 'Attr [ctor] .
  op 'min : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'minimalSorts : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaMinimalSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'mixfix : nil -> 'PrintOption [ctor] .
  op 'modExp : '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`]
    '`[FindResult`,NatList`,Bound`,Parent`] ->
    '`[FindResult`,NatList`,Bound`,Parent`] [special(
    id-hook('NumberOpSymbol, 'modExp) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'mod_is_sorts_._____endm : 'Header 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet -> 'SModule [ctor gather('& '&
    '& '& '& '& '& '&) format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni
    'n--i 'd)] .
  op 'msg : nil -> 'Attr [ctor] .
  op 'narrowing : nil -> 'Attr [ctor] .
  op 'nil : nil -> 'EqCondition [ctor] .
  op 'nil : nil -> 'HookList [ctor] .
  op 'nil : nil -> 'ImportList [ctor] .
  op 'nil : nil -> 'NarrowingTrace [ctor] .
  op 'nil : nil -> 'NatList [ctor] .
  op 'nil : nil -> 'ParameterDeclList [ctor] .
  op 'nil : nil -> 'QidList [ctor] .
  op 'nil : nil -> 'Trace [ctor] .
  op 'nil : nil -> 'TypeList [ctor] .
  op 'noMatch : nil -> 'MatchPair? [ctor] .
  op 'noMatch : nil -> 'Substitution? [ctor] .
  op 'noMatchIncomplete : nil -> 'Substitution? [ctor] .
  op 'noParse : 'Nat -> 'ResultPair? [ctor] .
  op 'noStratParse : 'Nat -> 'Strategy? [ctor] .
  op 'noUnifier : nil -> 'UnificationPair? [ctor] .
  op 'noUnifier : nil -> 'UnificationTriple? [ctor] .
  op 'noUnifierIncomplete : nil -> 'UnificationPair? [ctor] .
  op 'noUnifierIncomplete : nil -> 'UnificationTriple? [ctor] .
  op 'noVariant : nil -> 'Variant? [ctor] .
  op 'noVariantIncomplete : nil -> 'Variant? [ctor] .
  op 'none : nil -> 'AttrSet [ctor] .
  op 'none : nil -> 'EmptyQidSet [ctor] .
  op 'none : nil -> 'EquationSet [ctor] .
  op 'none : nil -> 'MembAxSet [ctor] .
  op 'none : nil -> 'OpDeclSet [ctor] .
  op 'none : nil -> 'OpMappingSet [ctor] .
  op 'none : nil -> 'Parent [none] .
  op 'none : nil -> 'PrintOptionSet [ctor] .
  op 'none : nil -> 'QidSet [ctor] .
  op 'none : nil -> 'RuleSet [ctor] .
  op 'none : nil -> 'SortMappingSet [ctor] .
  op 'none : nil -> 'StratDeclSet [ctor] .
  op 'none : nil -> 'StratDefSet [ctor] .
  op 'none : nil -> 'StratMappingSet [ctor] .
  op 'none : nil -> 'SubsortDeclSet [ctor] .
  op 'none : nil -> 'Substitution [ctor] .
  op 'none : nil -> 'VariantOptionSet [ctor] .
  op 'nonexec : nil -> 'Attr [ctor] .
  op 'not : 'Strategy -> 'Strategy [ctor] .
  op 'notFound : nil -> 'FindResult [ctor] .
  op 'not_ : 'Bool -> 'Bool [prec(53)] .
  op 'number : nil -> 'PrintOption [ctor] .
  op 'object : nil -> 'Attr [ctor] .
  op 'occurs : 'Nat 'NatList -> 'Bool [none] .
  op 'occurs : 'Qid 'QidList -> 'Bool [none] .
  op 'one : 'Strategy -> 'Strategy [ctor] .
  op 'op-hook : 'Qid 'Qid 'QidList 'Qid -> 'Hook [ctor format('nssss 'd)] .
  op 'op_:_->_`[_`]. : 'Qid 'TypeList 'Type 'AttrSet -> 'OpDecl [ctor format('d
    'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'op_:_->_to_. : 'Qid 'TypeList 'Type 'Qid -> 'OpMapping [ctor] .
  op 'op_:_->_to_`[_`] : 'Qid 'TypeList 'Type 'Qid 'AttrSet -> 'Renaming [ctor
    format('d 'd 'd 'd 'd 'd 'd 'd 's 'd 'd 'd)] .
  op 'op_to_. : 'Qid 'Qid -> 'OpMapping [ctor] .
  op 'op_to_`[_`] : 'Qid 'Qid 'AttrSet -> 'Renaming [ctor format('d 'd 'd 'd 's
    'd 'd 'd)] .
  op 'op_to`term_. : 'Term 'Term -> 'OpMapping [ctor] .
  op 'owise : nil -> 'Attr [ctor] .
  op 'pconst : nil -> 'Attr [ctor] .
  op 'poly : 'NeNatList -> 'Attr [ctor] .
  op 'portal : nil -> 'Attr [ctor] .
  op 'prec : 'Nat -> 'Attr [ctor] .
  op 'print : 'QidList -> 'Attr [ctor] .
  op 'protecting_. : 'ModuleExpression -> 'Import [ctor] .
  op 'qid : '`[String`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('QuotedIdentifierOpSymbol, 'qid) 
    op-hook('quotedIdentifierSymbol, '<Qids>, nil, 'Qid) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'rat : nil -> 'PrintOption [ctor] .
  op 'reverse : 'NatList -> 'NatList [none] .
  op 'reverse : 'NeNatList -> 'NeNatList [none] .
  op 'reverse : 'NeQidList -> 'NeQidList [none] .
  op 'reverse : 'QidList -> 'QidList [none] .
  op 'rfind : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'rfind) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
  op 'right-id : 'Term -> 'Attr [ctor] .
  op 'rl_=>_`[_`]. : 'Term 'Term 'AttrSet -> 'Rule [ctor format('d 'd 'd 'd 's
    'd 'd 's 'd)] .
  op 's_ : 'Nat -> 'NzNat [iter ctor special(
    id-hook('SuccSymbol, nil) 
    term-hook('zeroTerm, '0.Zero))] .
  op 'sameKind : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSameKind) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'sd : 'Nat 'Nat -> 'Nat [comm special(
    id-hook('CUI_NumberOpSymbol, 'sd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'sd_:=_`[_`]. : 'CallStrategy 'Strategy 'AttrSet -> 'StratDefinition [ctor
    format('d 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'size : 'NatList -> 'Nat [none] .
  op 'size : 'NeNatList -> 'NzNat [none] .
  op 'size : 'NeQidList -> 'NzNat [none] .
  op 'size : 'QidList -> 'Nat [none] .
  op 'smod_is_sorts_._______endsm : 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet 'StratDeclSet
    'StratDefSet -> 'StratModule [ctor gather('& '& '& '& '& '& '& '& '& '&)
    format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'sortLeq : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaSortLeq) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'sort_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
  op 'sort_to_. : 'Sort 'Sort -> 'SortMapping [ctor] .
  op 'special : 'NeHookList -> 'Attr [ctor] .
  op 'sth_is_sorts_._______endsth : 'Header 'ImportList 'SortSet
    'SubsortDeclSet 'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet 'StratDeclSet
    'StratDefSet -> 'StratTheory [ctor gather('& '& '& '& '& '& '& '& '& '&)
    format('d 'd 's 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni 'ni 'ni 'n--i 'd)] .
  op 'strat : 'NeNatList -> 'Attr [ctor] .
  op 'strat_:_@_`[_`]. : 'Qid 'TypeList 'Type 'AttrSet -> 'StratDecl [ctor
    format('d 'd 'd 'd 'd 'd 's 'd 'd 's 'd)] .
  op 'strat_:_@_to_ : 'Qid 'TypeList 'Type 'Qid -> 'Renaming [ctor] .
  op 'strat_:_@_to_. : 'Qid 'TypeList 'Type 'Qid -> 'StratMapping [ctor] .
  op 'strat_to_ : 'Qid 'Qid -> 'Renaming [ctor] .
  op 'strat_to_. : 'Qid 'Qid -> 'StratMapping [ctor] .
  op 'strat_to`expr_. : 'CallStrategy 'Strategy -> 'StratMapping [ctor] .
  op 'string : 'Qid -> 'String [special(
    id-hook('QuotedIdentifierOpSymbol, 'string) 
    op-hook('quotedIdentifierSymbol, '<Qids>, nil, 'Qid) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'subsort_<_. : 'Sort 'Sort -> 'SubsortDecl [ctor] .
  op 'substr : 'String 'Nat 'Nat -> 'String [special(
    id-hook('StringOpSymbol, 'substr) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'tail : 'NeNatList -> 'NatList [none] .
  op 'tail : 'NeQidList -> 'QidList [none] .
  op 'term-hook : 'Qid 'Term -> 'Hook [ctor format('nssss 'd)] .
  op 'test : 'Strategy -> 'Strategy [ctor] .
  op 'th_is_sorts_._____endth : 'Qid 'ImportList 'SortSet 'SubsortDeclSet
    'OpDeclSet 'MembAxSet 'EquationSet 'RuleSet -> 'STheory [ctor gather('& '&
    '& '& '& '& '& '&) format('d 'd 'd 'n++i 'ni 'd 'd 'ni 'ni 'ni 'ni 'ni
    'n--i 'd)] .
  op 'top : 'RuleApplication -> 'Strategy [ctor] .
  op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
  op 'try : 'Strategy -> 'Strategy [ctor] .
  op 'unbounded : nil -> 'Bound [ctor] .
  op 'union : 'NeQidSet 'QidSet -> 'NeQidSet [none] .
  op 'union : 'QidSet 'NeQidSet -> 'NeQidSet [none] .
  op 'union : 'QidSet 'QidSet -> 'QidSet [none] .
  op 'upEqs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[EquationSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpEqs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upImports : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[ImportList`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpImports) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upMbs : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[MembAxSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpMbs) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upModule : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[Module`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upOpDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[OpDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpOpDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upRls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[RuleSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpRls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSds : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDefSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSds) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSorts : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSorts) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upStratDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[StratDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpStratDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upSubsortDecls : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] '`[Bool`] -> '`[SubsortDeclSet`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpSubsortDecls) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upTerm : 'Universal -> 'Term [poly(1) special(
    id-hook('MetaLevelOpSymbol, 'metaUpTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upView : '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[View`] [special(
    id-hook('MetaLevelOpSymbol, 'metaUpView) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'upperCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'upperCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'variant : nil -> 'Attr [ctor] .
  op 'view_from_to_is___endv : 'Header 'ModuleExpression 'ModuleExpression
    'SortMappingSet 'OpMappingSet 'StratMappingSet -> 'View [ctor gather('& '&
    '& '& '& '&) format('d 'd 'd 'd 'd 'd 'd 'n++i 'ni 'ni 'n--i 'd)] .
  op 'wellFormed : 'Module -> 'Bool [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedModule) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : '`[Module`] '`[ModuleExpression`,ParameterList`,GTermList`,QidSet`,QidList`,TypeListSet`,Type?`,Header`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedTerm) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'wellFormed : '`[Module`] '`[Substitution?`] -> '`[Bool`] [special(
    id-hook('MetaLevelOpSymbol, 'metaWellFormedSubstitution) 
    op-hook('shareWith, 'metaReduce, 'Module 'ModuleExpression, 'ResultPair?))]
    .
  op 'with-parens : nil -> 'PrintOption [ctor] .
  op 'with-sorts : nil -> 'PrintOption [ctor] .
  op 'xmatch_s.t._ : 'Term 'EqCondition -> 'Strategy [ctor prec(21)] .
  op 'xmatchrew_s.t._by_ : 'Term 'EqCondition 'UsingPairSet -> 'Strategy [ctor]
    .
  op '|_| : 'NeQidSet -> 'NzNat [none] .
  op '|_| : 'QidSet -> 'Nat [none] .
  none
  eq '$applySubstitution['Q:Qid, 'S:Substitution] = 'Q:Qid [owise] .
  eq '$applySubstitution['V:Variable, '_;_['S:Substitution, '_<-_['V:Variable,
    'T:Term]]] = 'T:Term [none] .
  eq '$applySubstitution['_`,_['T:Term, 'TL:NeTermList], 'S:Substitution] =
    '_`,_['$applySubstitution['T:Term, 'S:Substitution], '$applySubstitution[
    'TL:NeTermList, 'S:Substitution]] [none] .
  eq '$applySubstitution['_`[_`]['Q:Qid, 'TL:NeTermList], 'S:Substitution] =
    '_`[_`]['Q:Qid, '$applySubstitution['TL:NeTermList, 'S:Substitution]] [
    none] .
  eq '$card['none.EmptyQidSet, 'C:Nat] = 'C:Nat [none] .
  eq '$card['_;_['E:Qid, 'S:QidSet], 'C:Nat] = '$card['S:QidSet, '_+_['C:Nat,
    's_['0.Zero]]] [owise] .
  eq '$card['_;_['N:NeQidSet, 'N:NeQidSet, 'S:QidSet], 'C:Nat] = '$card['_;_[
    'N:NeQidSet, 'S:QidSet], 'C:Nat] [none] .
  eq '$diff['none.EmptyQidSet, 'S':QidSet, 'A:QidSet] = 'A:QidSet [none] .
  eq '$diff['_;_['E:Qid, 'S:QidSet], 'S':QidSet, 'A:QidSet] = '$diff['S:QidSet,
    'S':QidSet, 'if_then_else_fi['_in_['E:Qid, 'S':QidSet], 'A:QidSet, '_;_[
    'E:Qid, 'A:QidSet]]] [none] .
  eq '$intersect['none.EmptyQidSet, 'S':QidSet, 'A:QidSet] = 'A:QidSet [none] .
  eq '$intersect['_;_['E:Qid, 'S:QidSet], 'S':QidSet, 'A:QidSet] = '$intersect[
    'S:QidSet, 'S':QidSet, 'if_then_else_fi['_in_['E:Qid, 'S':QidSet], '_;_[
    'E:Qid, 'A:QidSet], 'A:QidSet]] [none] .
  eq '$reverse['nil.NatList, 'A:NatList] = 'A:NatList [none] .
  eq '$reverse['nil.TypeList, 'A:QidList] = 'A:QidList [none] .
  eq '$reverse['__['E:Nat, 'L:NatList], 'A:NatList] = '$reverse['L:NatList,
    '__['E:Nat, 'A:NatList]] [none] .
  eq '$reverse['__['E:Qid, 'L:QidList], 'A:QidList] = '$reverse['L:QidList,
    '__['E:Qid, 'A:QidList]] [none] .
  eq '$size['nil.NatList, 'C:Nat] = 'C:Nat [none] .
  eq '$size['nil.TypeList, 'C:Nat] = 'C:Nat [none] .
  eq '$size['__['E:Nat, 'L:NatList], 'C:Nat] = '$size['L:NatList, '_+_['C:Nat,
    's_['0.Zero]]] [none] .
  eq '$size['__['E:Qid, 'L:QidList], 'C:Nat] = '$size['L:QidList, '_+_['C:Nat,
    's_['0.Zero]]] [none] .
  eq '_;_['A:Assignment, 'A:Assignment] = 'A:Assignment [none] .
  eq '_;_['N:NeQidSet, 'N:NeQidSet] = 'N:NeQidSet [none] .
  eq '_;_['T:TypeList, 'T:TypeList] = 'T:TypeList [none] .
  eq '_\_['S:QidSet, 'N:NeQidSet] = '$diff['S:QidSet, 'N:NeQidSet,
    'none.EmptyQidSet] [none] .
  eq '_\_['S:QidSet, 'none.EmptyQidSet] = 'S:QidSet [none] .
  eq '__['A:Attr, 'A:Attr] = 'A:Attr [none] .
  eq '__['D:StratDefinition, 'D:StratDefinition] = 'D:StratDefinition [none] .
  eq '__['E:Equation, 'E:Equation] = 'E:Equation [none] .
  eq '__['M:MembAx, 'M:MembAx] = 'M:MembAx [none] .
  eq '__['O:OpDecl, 'O:OpDecl] = 'O:OpDecl [none] .
  eq '__['O:OpMapping, 'O:OpMapping] = 'O:OpMapping [none] .
  eq '__['O:StratDecl, 'O:StratDecl] = 'O:StratDecl [none] .
  eq '__['R:Rule, 'R:Rule] = 'R:Rule [none] .
  eq '__['S:SortMapping, 'S:SortMapping] = 'S:SortMapping [none] .
  eq '__['S:StratMapping, 'S:StratMapping] = 'S:StratMapping [none] .
  eq '__['S:SubsortDecl, 'S:SubsortDecl] = 'S:SubsortDecl [none] .
  eq '_`,_['U:UsingPair, 'U:UsingPair] = 'U:UsingPair [none] .
  eq '_and-then_['false.Bool, 'B:`[Bool`]] = 'false.Bool [none] .
  eq '_and-then_['true.Bool, 'B:`[Bool`]] = 'B:`[Bool`] [none] .
  eq '_and_['A:Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_and_['A:Bool, '_xor_['B:Bool, 'C:Bool]] = '_xor_['_and_['A:Bool,
    'B:Bool], '_and_['A:Bool, 'C:Bool]] [none] .
  eq '_and_['false.Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_and_['true.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_implies_['A:Bool, 'B:Bool] = 'not_['_xor_['A:Bool, '_and_['A:Bool,
    'B:Bool]]] [none] .
  eq '_in_['E:Qid, 'S:QidSet] = 'false.Bool [owise] .
  eq '_in_['E:Qid, '_;_['E:Qid, 'S:QidSet]] = 'true.Bool [none] .
  eq '_or-else_['false.Bool, 'B:`[Bool`]] = 'B:`[Bool`] [none] .
  eq '_or-else_['true.Bool, 'B:`[Bool`]] = 'true.Bool [none] .
  eq '_or_['A:Bool, 'B:Bool] = '_xor_['_and_['A:Bool, 'B:Bool], '_xor_['A:Bool,
    'B:Bool]] [none] .
  eq '_psubset_['S:QidSet, 'S':QidSet] = '_and-then_['_=/=_['S:QidSet,
    'S':QidSet], '_subset_['S:QidSet, 'S':QidSet]] [none] .
  eq '_subset_['none.EmptyQidSet, 'S':QidSet] = 'true.Bool [none] .
  eq '_subset_['_;_['E:Qid, 'S:QidSet], 'S':QidSet] = '_and-then_['_in_['E:Qid,
    'S':QidSet], '_subset_['S:QidSet, 'S':QidSet]] [none] .
  eq '_xor_['A:Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_xor_['false.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '`[_`]['Q:Qid] = 'sth_is_sorts_._______endsth['Q:Qid, 'including_.[
    'Q:Qid], 'none.EmptyQidSet, 'none.SubsortDeclSet, 'none.OpDeclSet,
    'none.MembAxSet, 'none.EquationSet, 'none.RuleSet, 'none.StratDeclSet,
    'none.StratDefSet] [none] .
  eq 'append['A:NatList, 'L:NatList] = '__['A:NatList, 'L:NatList] [none] .
  eq 'append['A:QidList, 'L:QidList] = '__['A:QidList, 'L:QidList] [none] .
  eq 'applySubstitution['M:Module, 'T:Term, 'S:Substitution] = 'getTerm[
    'metaNormalize['M:Module, '$applySubstitution['T:Term, 'S:Substitution]]] [
    none] .
  eq 'delete['E:Qid, 'S:QidSet] = 'S:QidSet [owise] .
  eq 'delete['E:Qid, '_;_['E:Qid, 'S:QidSet]] = 'delete['E:Qid, 'S:QidSet] [
    none] .
  eq 'front['__['L:NatList, 'E:Nat]] = 'L:NatList [none] .
  eq 'front['__['L:QidList, 'E:Qid]] = 'L:QidList [none] .
  eq 'getAccumulatedSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid,
    'U:Substitution, 'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] =
    'A:Substitution [none] .
  eq 'getAccumulatedSubstitution['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'A:Substitution [
    none] .
  eq 'getContext['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'C:Context]] = 'C:Context [none] .
  eq 'getContext['`{_`,_`}['S:Substitution, 'C:Context]] = 'C:Context [none] .
  eq 'getEqs['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'EQS:EquationSet [none] .
  eq 'getEqs['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'EQS:EquationSet [none] .
  eq 'getEqs['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'EQS:EquationSet [none] .
  eq 'getEqs['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'EQS:EquationSet [none] .
  eq 'getEqs['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'EQS:EquationSet [
    none] .
  eq 'getEqs['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'EQS:EquationSet [none] .
  eq 'getFrom['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'ME:ModuleExpression [none] .
  eq 'getImports['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'IL:ImportList [none] .
  eq 'getImports['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'IL:ImportList [none] .
  eq 'getImports['mod_is_sorts_._____endm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet]] = 'IL:ImportList [none] .
  eq 'getImports['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'IL:ImportList [none] .
  eq 'getImports['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'IL:ImportList [none] .
  eq 'getImports['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'IL:ImportList [none] .
  eq 'getInitialSubstitution['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'S:Substitution, 'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] =
    'S:Substitution [none] .
  eq 'getInitialTerm['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:Term [none] .
  eq 'getInitialType['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:Type [none] .
  eq 'getLabel['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'L:Qid [none] .
  eq 'getLabel['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'L:Qid [none] .
  eq 'getLhsSubstitution['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'LS:Substitution [none] .
  eq 'getMbs['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'MAS:MembAxSet [none] .
  eq 'getMbs['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'MAS:MembAxSet [none] .
  eq 'getMbs['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'MAS:MembAxSet [none] .
  eq 'getMbs['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'MAS:MembAxSet [none] .
  eq 'getMbs['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'MAS:MembAxSet [
    none] .
  eq 'getMbs['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'MAS:MembAxSet [none] .
  eq 'getMoreVariantsInLayerFlag['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution,
    'Q:Qid, 'P:Parent, 'B:Bool]] = 'B:Bool [none] .
  eq 'getName['C:Constant] = 'qid['substr['string['C:Constant], '0.Zero,
    'rfind['string['C:Constant], '".".Char, 'length['string['C:Constant]]]]] [
    none] .
  eq 'getName['V:Variable] = 'qid['substr['string['V:Variable], '0.Zero,
    'rfind['string['V:Variable], '":".Char, 'length['string['V:Variable]]]]] [
    none] .
  eq 'getName['fmod_is_sorts_.____endfm['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'Q:Qid [none] .
  eq 'getName['fmod_is_sorts_.____endfm['_`{_`}['Q:Qid,
    'PDL:ParameterDeclList], 'IL:ImportList, 'SS:SortSet, 'SSDS:SubsortDeclSet,
    'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] = 'Q:Qid [none] .
  eq 'getName['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'Q:Qid [none] .
  eq 'getName['mod_is_sorts_._____endm['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'Q:Qid [none] .
  eq 'getName['mod_is_sorts_._____endm['_`{_`}['Q:Qid, 'PDL:ParameterDeclList],
    'IL:ImportList, 'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet,
    'MAS:MembAxSet, 'EQS:EquationSet, 'RLS:RuleSet]] = 'Q:Qid [none] .
  eq 'getName['smod_is_sorts_._______endsm['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'Q:Qid [none] .
  eq 'getName['smod_is_sorts_._______endsm['_`{_`}['Q:Qid,
    'PDL:ParameterDeclList], 'IL:ImportList, 'SS:SortSet, 'SSDS:SubsortDeclSet,
    'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet, 'RLS:RuleSet,
    'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'Q:Qid [none] .
  eq 'getName['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'Q:Qid [none] .
  eq 'getName['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'Q:Qid [none] .
  eq 'getName['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'Q:Qid [none] .
  eq 'getName['view_from_to_is___endv['_`{_`}['Q:Qid, 'PDL:ParameterDeclList],
    'ME:ModuleExpression, 'ME':ModuleExpression, 'SMS:SortMappingSet,
    'OMS:OpMappingSet, 'TMS:StratMappingSet]] = 'Q:Qid [none] .
  eq 'getOpMappings['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'OMS:OpMappingSet [none] .
  eq 'getOps['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'OPDS:OpDeclSet [none] .
  eq 'getOps['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'OPDS:OpDeclSet [none] .
  eq 'getOps['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'OPDS:OpDeclSet [none] .
  eq 'getOps['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'OPDS:OpDeclSet [none] .
  eq 'getOps['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'OPDS:OpDeclSet [
    none] .
  eq 'getOps['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'OPDS:OpDeclSet [none] .
  eq 'getParent['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid, 'P:Parent,
    'B:Bool]] = 'P:Parent [none] .
  eq 'getRhsSubstitution['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'RS:Substitution [none] .
  eq 'getRls['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.RuleSet [none] .
  eq 'getRls['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.RuleSet [none] .
  eq 'getRls['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'RLS:RuleSet [none] .
  eq 'getRls['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'RLS:RuleSet [none] .
  eq 'getRls['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'RLS:RuleSet [
    none] .
  eq 'getRls['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'RLS:RuleSet [none] .
  eq 'getRule['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'R:Rule [none] .
  eq 'getRuleSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'C:Context, 'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] =
    'RS:Substitution [none] .
  eq 'getSds['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.StratDefSet [none] .
  eq 'getSds['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.StratDefSet [none] .
  eq 'getSds['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'none.StratDefSet [none] .
  eq 'getSds['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'STDFS:StratDefSet [none] .
  eq 'getSds['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] = 'STDFS:StratDefSet
    [none] .
  eq 'getSds['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'none.StratDefSet [none] .
  eq 'getSortMappings['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'SMS:SortMappingSet [none] .
  eq 'getSorts['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'SS:SortSet [none] .
  eq 'getSorts['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'SS:SortSet [none] .
  eq 'getSorts['mod_is_sorts_._____endm['H:Header, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'SS:SortSet [none] .
  eq 'getSorts['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SS:SortSet [none] .
  eq 'getSorts['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SS:SortSet [none] .
  eq 'getSorts['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'SS:SortSet [none] .
  eq 'getStateVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'SV:Qid [none] .
  eq 'getStratMappings['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'TMS:StratMappingSet [none] .
  eq 'getStrats['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'none.StratDeclSet [none] .
  eq 'getStrats['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet]] =
    'none.StratDeclSet [none] .
  eq 'getStrats['mod_is_sorts_._____endm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet]] = 'none.StratDeclSet [none] .
  eq 'getStrats['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'STDS:StratDeclSet [none] .
  eq 'getStrats['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'STDS:StratDeclSet [none] .
  eq 'getStrats['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'none.StratDeclSet [none] .
  eq 'getSubsorts['fmod_is_sorts_.____endfm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['fth_is_sorts_.____endfth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['mod_is_sorts_._____endm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['smod_is_sorts_._______endsm['H:Header, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['sth_is_sorts_._______endsth['Q:Qid, 'IL:ImportList,
    'SS:SortSet, 'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet,
    'EQS:EquationSet, 'RLS:RuleSet, 'STDS:StratDeclSet, 'STDFS:StratDefSet]] =
    'SSDS:SubsortDeclSet [none] .
  eq 'getSubsorts['th_is_sorts_._____endth['Q:Qid, 'IL:ImportList, 'SS:SortSet,
    'SSDS:SubsortDeclSet, 'OPDS:OpDeclSet, 'MAS:MembAxSet, 'EQS:EquationSet,
    'RLS:RuleSet]] = 'SSDS:SubsortDeclSet [none] .
  eq 'getSubstitution['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid,
    'P:Parent, 'B:Bool]] = 'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'C:Context]] = 'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] =
    'S:Substitution [none] .
  eq 'getSubstitution['`{_`,_`}['S:Substitution, 'C:Context]] = 'S:Substitution
    [none] .
  eq 'getSubstitution['`{_`,_`}['S:Substitution, 'V:Qid]] = 'S:Substitution [
    none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution, 'SV:Qid,
    'U:Substitution, 'UV:Qid]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid, 'P:Parent,
    'B:Bool]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution, 'C:Context]] =
    'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'T:Term [none] .
  eq 'getTerm['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] = 'T:Term [none]
    .
  eq 'getTerm['`{_`,_`}['T:Term, 'T:Type]] = 'T:Term [none] .
  eq 'getTermSubstitution['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'C:Context, 'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] =
    'TS:Substitution [none] .
  eq 'getTo['view_from_to_is___endv['Q:Qid, 'ME:ModuleExpression,
    'ME':ModuleExpression, 'SMS:SortMappingSet, 'OMS:OpMappingSet,
    'TMS:StratMappingSet]] = 'ME':ModuleExpression [none] .
  eq 'getTrace['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'T:NarrowingTrace [none] .
  eq 'getType['C:Constant] = 'qid['substr['string['C:Constant], '_+_['s_[
    '0.Zero], 'rfind['string['C:Constant], '".".Char, 'length['string[
    'C:Constant]]]], 'length['string['C:Constant]]]] [none] .
  eq 'getType['V:Variable] = 'qid['substr['string['V:Variable], '_+_['s_[
    '0.Zero], 'rfind['string['V:Variable], '":".Char, 'length['string[
    'V:Variable]]]], 'length['string['V:Variable]]]] [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context, 'L:Qid,
    'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution, 'SV:Qid,
    'U:Substitution, 'UV:Qid]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution, 'C:Context]] =
    'T:Type [none] .
  eq 'getType['`{_`,_`,_`}['T:Term, 'T:Type, 'R:Rule]] = 'T:Type [none] .
  eq 'getType['`{_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution]] = 'T:Type [none]
    .
  eq 'getType['`{_`,_`}['T:Term, 'T:Type]] = 'T:Type [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid, 'U:Substitution,
    'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'U:Substitution [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'A:Substitution,
    'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'U:Substitution [none] .
  eq 'getUnifier['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'S:Substitution,
    'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'U:Substitution [none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`,_`}['C:Context, 'L:Qid,
    'U:Substitution, 'UV:Qid, 'T:Term, 'T:Type, 'A:Substitution]] = 'UV:Qid [
    none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'A:Substitution, 'SV:Qid, 'U:Substitution, 'UV:Qid]] = 'UV:Qid [none] .
  eq 'getUnifierVariableFamily['`{_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type,
    'S:Substitution, 'T:NarrowingTrace, 'U:Substitution, 'UV:Qid]] = 'UV:Qid [
    none] .
  eq 'getVariableFamily['`{_`,_`,_`,_`,_`,_`,_`}['T:Term, 'T:Type, 'C:Context,
    'L:Qid, 'TS:Substitution, 'RS:Substitution, 'V:Qid]] = 'V:Qid [none] .
  eq 'getVariableFamily['`{_`,_`,_`,_`,_`}['T:Term, 'S:Substitution, 'Q:Qid,
    'P:Parent, 'B:Bool]] = 'Q:Qid [none] .
  eq 'getVariableFamily['`{_`,_`,_`}['LS:Substitution, 'RS:Substitution,
    'V:Qid]] = 'V:Qid [none] .
  eq 'getVariableFamily['`{_`,_`}['S:Substitution, 'V:Qid]] = 'V:Qid [none] .
  eq 'head['__['E:Nat, 'L:NatList]] = 'E:Nat [none] .
  eq 'head['__['E:Qid, 'L:QidList]] = 'E:Qid [none] .
  eq 'insert['E:Qid, 'S:QidSet] = '_;_['E:Qid, 'S:QidSet] [none] .
  eq 'intersection['S:QidSet, 'N:NeQidSet] = '$intersect['S:QidSet,
    'N:NeQidSet, 'none.EmptyQidSet] [none] .
  eq 'intersection['S:QidSet, 'none.EmptyQidSet] = 'none.EmptyQidSet [none] .
  eq 'last['__['L:NatList, 'E:Nat]] = 'E:Nat [none] .
  eq 'last['__['L:QidList, 'E:Qid]] = 'E:Qid [none] .
  eq 'metaNarrowingApply['M:Module, 'T:Term, 'TL:TermList, 'Q:Qid, 'N:Nat] =
    'metaNarrowingApply['M:Module, 'T:Term, 'TL:TermList, 'Q:Qid,
    'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaNarrowingSearch['M:Module, 'T:Term, 'T2:Term, 'S:Qid, 'B:Bound,
    'F:Qid, 'N:Nat] = 'metaNarrowingSearch['M:Module, 'T:Term, 'T2:Term,
    'S:Qid, 'B:Bound, 'F:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaNarrowingSearchPath['M:Module, 'T:Term, 'T2:Term, 'S:Qid, 'B:Bound,
    'F:Qid, 'N:Nat] = 'metaNarrowingSearchPath['M:Module, 'T:Term, 'T2:Term,
    'S:Qid, 'B:Bound, 'F:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'metaParse['M:Module, 'Q:QidList, 'T:Type?] = 'metaParse['M:Module,
    'none.EmptyQidSet, 'Q:QidList, 'T:Type?] [none] .
  eq 'metaPrettyPrint['M:Module, 'T:Term] = 'metaPrettyPrint['M:Module,
    'none.EmptyQidSet, 'T:Term, '__['mixfix.PrintOption, '__['flat.PrintOption,
    '__['format.PrintOption, '__['number.PrintOption, 'rat.PrintOption]]]],
    'none.EmptyQidSet] [none] .
  eq 'metaPrettyPrint['M:Module, 'T:Term, 'P:PrintOptionSet] =
    'metaPrettyPrint['M:Module, 'none.EmptyQidSet, 'T:Term, 'P:PrintOptionSet,
    'none.EmptyQidSet] [none] .
  eq 'metaPrettyPrint['M:Module, 'VS:VariableSet, 'T:Term, 'P:PrintOptionSet] =
    'metaPrettyPrint['M:Module, 'VS:VariableSet, 'T:Term, 'P:PrintOptionSet,
    'none.EmptyQidSet] [none] .
  eq 'metaVariantDisjointUnify['M:Module, 'U:UnificationProblem, 'TL:TermList,
    'Q:Qid, 'N:Nat] = 'metaVariantDisjointUnify['M:Module,
    'U:UnificationProblem, 'TL:TermList, 'Q:Qid, 'none.VariantOptionSet,
    'N:Nat] [none] .
  eq 'metaVariantUnify['M:Module, 'U:UnificationProblem, 'TL:TermList, 'Q:Qid,
    'N:Nat] = 'metaVariantUnify['M:Module, 'U:UnificationProblem, 'TL:TermList,
    'Q:Qid, 'none.VariantOptionSet, 'N:Nat] [none] .
  eq 'not_['A:Bool] = '_xor_['true.Bool, 'A:Bool] [none] .
  eq 'occurs['E:Nat, 'nil.NatList] = 'false.Bool [none] .
  eq 'occurs['E:Nat, '__['E':Nat, 'L:NatList]] = 'if_then_else_fi['_==_['E:Nat,
    'E':Nat], 'true.Bool, 'occurs['E:Nat, 'L:NatList]] [none] .
  eq 'occurs['E:Qid, 'nil.TypeList] = 'false.Bool [none] .
  eq 'occurs['E:Qid, '__['E':Qid, 'L:QidList]] = 'if_then_else_fi['_==_['E:Qid,
    'E':Qid], 'true.Bool, 'occurs['E:Qid, 'L:QidList]] [none] .
  eq 'reverse['L:NatList] = '$reverse['L:NatList, 'nil.NatList] [none] .
  eq 'reverse['L:QidList] = '$reverse['L:QidList, 'nil.TypeList] [none] .
  eq 'size['L:NatList] = '$size['L:NatList, '0.Zero] [none] .
  eq 'size['L:QidList] = '$size['L:QidList, '0.Zero] [none] .
  eq 'tail['__['E:Nat, 'L:NatList]] = 'L:NatList [none] .
  eq 'tail['__['E:Qid, 'L:QidList]] = 'L:QidList [none] .
  eq 'union['S:QidSet, 'S':QidSet] = '_;_['S:QidSet, 'S':QidSet] [none] .
  eq '|_|['S:QidSet] = '$card['S:QidSet, '0.Zero] [none] .
endfm
==========================================
reduce in META-LEVEL : upModule('STRING, true) .
rewrites: 1
result FModule: fmod 'STRING is
  nil
  sorts 'Bool ; 'Char ; 'FindResult ; 'Nat ; 'NzNat ; 'String ; 'Zero .
  subsort 'Char < 'String .
  subsort 'Nat < 'FindResult .
  subsort 'NzNat < 'Nat .
  subsort 'Zero < 'Nat .
  op '0 : nil -> 'Zero [ctor] .
  op '<Strings> : nil -> 'Char [special(
    id-hook('StringSymbol, nil))] .
  op '<Strings> : nil -> 'String [special(
    id-hook('StringSymbol, nil))] .
  op '_&_ : 'Nat 'Nat -> 'Nat [assoc comm prec(53) special(
    id-hook('ACU_NumberOpSymbol, '&) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'Nat 'Nat -> 'Nat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_*_ : 'NzNat 'NzNat -> 'NzNat [assoc comm prec(31) special(
    id-hook('ACU_NumberOpSymbol, '*) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'Nat 'Nat -> 'Nat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(33) special(
    id-hook('ACU_NumberOpSymbol, '+) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_+_ : 'String 'String -> 'String [prec(33) gather('E 'e) special(
    id-hook('StringOpSymbol, '+) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op '_<<_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '<<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_<=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '<) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_<_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '<) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_=/=_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'false.Bool) 
    term-hook('notEqualTerm, 'true.Bool))] .
  op '_==_ : 'Universal 'Universal -> 'Bool [prec(51) poly(1 2) special(
    id-hook('EqualitySymbol, nil) 
    term-hook('equalTerm, 'true.Bool) 
    term-hook('notEqualTerm, 'false.Bool))] .
  op '_>=_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>=) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>=_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>=) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>>_ : 'Nat 'Nat -> 'Nat [prec(35) gather('E 'e) special(
    id-hook('NumberOpSymbol, '>>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_>_ : 'Nat 'Nat -> 'Bool [prec(37) special(
    id-hook('NumberOpSymbol, '>) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_>_ : 'String 'String -> 'Bool [prec(37) special(
    id-hook('StringOpSymbol, '>) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_^_ : 'Nat 'Nat -> 'Nat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_^_ : 'NzNat 'Nat -> 'NzNat [prec(29) gather('E 'e) special(
    id-hook('NumberOpSymbol, '^) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_and_ : 'Bool 'Bool -> 'Bool [assoc comm prec(55)] .
  op '_divides_ : 'NzNat 'Nat -> 'Bool [prec(51) special(
    id-hook('NumberOpSymbol, 'divides) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('trueTerm, 'true.Bool) 
    term-hook('falseTerm, 'false.Bool))] .
  op '_implies_ : 'Bool 'Bool -> 'Bool [prec(61) gather('e 'E)] .
  op '_or_ : 'Bool 'Bool -> 'Bool [assoc comm prec(59)] .
  op '_quo_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'quo) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_rem_ : 'Nat 'NzNat -> 'Nat [prec(31) gather('E 'e) special(
    id-hook('NumberOpSymbol, 'rem) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_xor_ : 'Bool 'Bool -> 'Bool [assoc comm prec(57)] .
  op '_xor_ : 'Nat 'Nat -> 'Nat [assoc comm prec(55) special(
    id-hook('ACU_NumberOpSymbol, 'xor) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'Nat 'Nat -> 'Nat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op '_|_ : 'NzNat 'Nat -> 'NzNat [assoc comm prec(57) special(
    id-hook('ACU_NumberOpSymbol, '|) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'ascii : 'Char -> 'Nat [special(
    id-hook('StringOpSymbol, 'ascii) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'char : '`[FindResult`] -> '`[String`] [special(
    id-hook('StringOpSymbol, 'char) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'false : nil -> 'Bool [ctor special(
    id-hook('SystemFalse, nil))] .
  op 'find : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'find) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
  op 'gcd : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'gcd : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'gcd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'if_then_else_fi : 'Bool 'Universal 'Universal -> 'Universal [poly(2 3 0)
    special(
    id-hook('BranchSymbol, nil) 
    term-hook('1, 'true.Bool) 
    term-hook('2, 'false.Bool))] .
  op 'lcm : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lcm : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'lcm) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'length : 'String -> 'Nat [special(
    id-hook('StringOpSymbol, 'length) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'lowerCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'lowerCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  op 'max : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'max : 'NzNat 'Nat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'max) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'Nat 'Nat -> 'Nat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'min : 'NzNat 'NzNat -> 'NzNat [assoc comm special(
    id-hook('ACU_NumberOpSymbol, 'min) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'modExp : '`[FindResult`] '`[FindResult`] '`[FindResult`] ->
    '`[FindResult`] [special(
    id-hook('NumberOpSymbol, 'modExp) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'notFound : nil -> 'FindResult [ctor] .
  op 'not_ : 'Bool -> 'Bool [prec(53)] .
  op 'rfind : 'String 'String 'Nat -> 'FindResult [special(
    id-hook('StringOpSymbol, 'rfind) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat) 
    term-hook('notFoundTerm, 'notFound.FindResult))] .
  op 's_ : 'Nat -> 'NzNat [iter ctor special(
    id-hook('SuccSymbol, nil) 
    term-hook('zeroTerm, '0.Zero))] .
  op 'sd : 'Nat 'Nat -> 'Nat [comm special(
    id-hook('CUI_NumberOpSymbol, 'sd) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'substr : 'String 'Nat 'Nat -> 'String [special(
    id-hook('StringOpSymbol, 'substr) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char) 
    op-hook('succSymbol, 's_, 'Nat, 'NzNat))] .
  op 'true : nil -> 'Bool [ctor special(
    id-hook('SystemTrue, nil))] .
  op 'upperCase : 'String -> 'String [special(
    id-hook('StringOpSymbol, 'upperCase) 
    op-hook('stringSymbol, '<Strings>, nil, 'Char))] .
  none
  eq '_and_['A:Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_and_['A:Bool, '_xor_['B:Bool, 'C:Bool]] = '_xor_['_and_['A:Bool,
    'B:Bool], '_and_['A:Bool, 'C:Bool]] [none] .
  eq '_and_['false.Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_and_['true.Bool, 'A:Bool] = 'A:Bool [none] .
  eq '_implies_['A:Bool, 'B:Bool] = 'not_['_xor_['A:Bool, '_and_['A:Bool,
    'B:Bool]]] [none] .
  eq '_or_['A:Bool, 'B:Bool] = '_xor_['_and_['A:Bool, 'B:Bool], '_xor_['A:Bool,
    'B:Bool]] [none] .
  eq '_xor_['A:Bool, 'A:Bool] = 'false.Bool [none] .
  eq '_xor_['false.Bool, 'A:Bool] = 'A:Bool [none] .
  eq 'not_['A:Bool] = '_xor_['true.Bool, 'A:Bool] [none] .
endfm
==========================================
reduce in META-LEVEL : metaReduce(upModule('STRING, true), '_+_[upTerm("a"),
    upTerm("b")]) .
rewrites: 5
result ResultPair: {'"ab".String, 'String}
==========================================
reduce in META-LEVEL : metaReduce(upModule('META-LEVEL, true), 'modExp[upTerm(
    100), upTerm(66), upTerm(17)]) .
rewrites: 7
result ResultPair: {'s_^4['0.Zero], 'NzNat}
==========================================
reduce in META-LEVEL : metaReduce(upModule('META-LEVEL, true), 'upModule[
    upTerm('META-LEVEL), upTerm(true)]) .
rewrites: 7
result ResultPair: {'fmod_is_sorts_.____endfm[''META-LEVEL.Sort,
    'nil.ImportList, '_;_[''Assignment.Sort, ''Attr.Sort, ''AttrSet.Sort,
    ''Bool.Sort, ''Bound.Sort, ''CallStrategy.Sort, ''Char.Sort,
    ''Condition.Sort, ''Constant.Sort, ''Context.Sort, ''EmptyCommaList.Sort,
    ''EmptyQidSet.Sort, ''EqCondition.Sort, ''Equation.Sort,
    ''EquationSet.Sort, ''Expression.Sort, ''FModule.Sort, ''FTheory.Sort,
    ''FindResult.Sort, ''GTermList.Sort, ''GroundTerm.Sort,
    ''GroundTermList.Sort, ''Header.Sort, ''Hook.Sort, ''HookList.Sort,
    ''Import.Sort, ''ImportList.Sort, ''Kind.Sort, ''KindSet.Sort,
    ''MatchOrUnificationPair.Sort, ''MatchPair.Sort, ''MatchPair?.Sort,
    ''MatchingProblem.Sort, ''MembAx.Sort, ''MembAxSet.Sort, ''Module.Sort,
    ''ModuleExpression.Sort, ''NarrowingApplyResult.Sort,
    ''NarrowingApplyResult?.Sort, ''NarrowingSearchPathResult.Sort,
    ''NarrowingSearchPathResult?.Sort, ''NarrowingSearchResult.Sort,
    ''NarrowingSearchResult?.Sort, ''NarrowingStep.Sort, ''NarrowingTrace.Sort,
    ''Nat.Sort, ''NatList.Sort, ''NeCTermList.Sort, ''NeGroundTermList.Sort,
    ''NeHookList.Sort, ''NeKindSet.Sort, ''NeNatList.Sort,
    ''NeParameterDeclList.Sort, ''NeParameterList.Sort, ''NeQidList.Sort,
    ''NeQidSet.Sort, ''NeSortSet.Sort, ''NeTermList.Sort, ''NeTypeList.Sort,
    ''NeTypeSet.Sort, ''NeVariableSet.Sort, ''NzNat.Sort, ''OpDecl.Sort,
    ''OpDeclSet.Sort, ''OpMapping.Sort, ''OpMappingSet.Sort,
    ''ParameterDecl.Sort, ''ParameterDeclList.Sort, ''ParameterList.Sort,
    ''Parent.Sort, ''PatternSubjectPair.Sort, ''PrintOption.Sort,
    ''PrintOptionSet.Sort, ''Qid.Sort, ''QidList.Sort, ''QidSet.Sort,
    ''Renaming.Sort, ''RenamingSet.Sort, ''Result4Tuple.Sort,
    ''Result4Tuple?.Sort, ''ResultPair.Sort, ''ResultPair?.Sort,
    ''ResultTriple.Sort, ''ResultTriple?.Sort, ''Rule.Sort,
    ''RuleApplication.Sort, ''RuleSet.Sort, ''SModule.Sort, ''STheory.Sort,
    ''SmtResult.Sort, ''SmtResult?.Sort, ''Sort.Sort, ''SortMapping.Sort,
    ''SortMappingSet.Sort, ''SortSet.Sort, ''SrewriteOption.Sort,
    ''StratDecl.Sort, ''StratDeclSet.Sort, ''StratDefSet.Sort,
    ''StratDefinition.Sort, ''StratMapping.Sort, ''StratMappingSet.Sort,
    ''StratModule.Sort, ''StratTheory.Sort, ''Strategy.Sort, ''Strategy?.Sort,
    ''StrategyList.Sort, ''String.Sort, ''SubsortDecl.Sort,
    ''SubsortDeclSet.Sort, ''Substitution.Sort, ''Substitution?.Sort,
    ''Term.Sort, ''TermList.Sort, ''TermQid.Sort, ''Trace.Sort, ''Trace?.Sort,
    ''TraceStep.Sort, ''Type.Sort, ''Type?.Sort, ''TypeList.Sort,
    ''TypeListSet.Sort, ''TypeSet.Sort, ''UnificandPair.Sort,
    ''UnificationPair.Sort, ''UnificationPair?.Sort, ''UnificationProblem.Sort,
    ''UnificationTriple.Sort, ''UnificationTriple?.Sort, ''UsingPair.Sort,
    ''UsingPairSet.Sort, ''Variable.Sort, ''VariableSet.Sort, ''Variant.Sort,
    ''Variant?.Sort, ''VariantOption.Sort, ''VariantOptionSet.Sort,
    ''View.Sort, ''ViewExpression.Sort, ''Zero.Sort], '__['subsort_<_.[
    ''Assignment.Sort, ''Substitution.Sort], 'subsort_<_.[''Attr.Sort,
    ''AttrSet.Sort], 'subsort_<_.[''CallStrategy.Sort, ''Strategy.Sort],
    'subsort_<_.[''Char.Sort, ''String.Sort], 'subsort_<_.[''Constant.Sort,
    ''GroundTerm.Sort], 'subsort_<_.[''Constant.Sort, ''TermQid.Sort],
    'subsort_<_.[''Context.Sort, ''NeCTermList.Sort], 'subsort_<_.[
    ''EmptyCommaList.Sort, ''GroundTermList.Sort], 'subsort_<_.[
    ''EmptyCommaList.Sort, ''ParameterList.Sort], 'subsort_<_.[
    ''EmptyQidSet.Sort, ''KindSet.Sort], 'subsort_<_.[''EmptyQidSet.Sort,
    ''SortSet.Sort], 'subsort_<_.[''EmptyQidSet.Sort, ''VariableSet.Sort],
    'subsort_<_.[''EqCondition.Sort, ''Condition.Sort], 'subsort_<_.[
    ''Equation.Sort, ''EquationSet.Sort], 'subsort_<_.[''Expression.Sort,
    ''ModuleExpression.Sort], 'subsort_<_.[''Expression.Sort,
    ''ViewExpression.Sort], 'subsort_<_.[''FModule.Sort, ''SModule.Sort],
    'subsort_<_.[''FTheory.Sort, ''STheory.Sort], 'subsort_<_.[
    ''GroundTerm.Sort, ''NeGroundTermList.Sort], 'subsort_<_.[
    ''GroundTerm.Sort, ''Term.Sort], 'subsort_<_.[''GroundTermList.Sort,
    ''TermList.Sort], 'subsort_<_.[''Hook.Sort, ''NeHookList.Sort],
    'subsort_<_.[''Import.Sort, ''ImportList.Sort], 'subsort_<_.[''Kind.Sort,
    ''NeKindSet.Sort], 'subsort_<_.[''Kind.Sort, ''Type.Sort], 'subsort_<_.[
    ''KindSet.Sort, ''TypeSet.Sort], 'subsort_<_.[''MatchPair.Sort,
    ''MatchOrUnificationPair.Sort], 'subsort_<_.[''MatchPair.Sort,
    ''MatchPair?.Sort], 'subsort_<_.[''MembAx.Sort, ''MembAxSet.Sort],
    'subsort_<_.[''NarrowingApplyResult.Sort, ''NarrowingApplyResult?.Sort],
    'subsort_<_.[''NarrowingSearchPathResult.Sort,
    ''NarrowingSearchPathResult?.Sort], 'subsort_<_.[
    ''NarrowingSearchResult.Sort, ''NarrowingSearchResult?.Sort], 'subsort_<_.[
    ''NarrowingStep.Sort, ''NarrowingTrace.Sort], 'subsort_<_.[''Nat.Sort,
    ''Bound.Sort], 'subsort_<_.[''Nat.Sort, ''FindResult.Sort], 'subsort_<_.[
    ''Nat.Sort, ''NeNatList.Sort], 'subsort_<_.[''Nat.Sort, ''Parent.Sort],
    'subsort_<_.[''NeCTermList.Sort, ''GTermList.Sort], 'subsort_<_.[
    ''NeGroundTermList.Sort, ''GroundTermList.Sort], 'subsort_<_.[
    ''NeGroundTermList.Sort, ''NeTermList.Sort], 'subsort_<_.[
    ''NeHookList.Sort, ''HookList.Sort], 'subsort_<_.[''NeKindSet.Sort,
    ''KindSet.Sort], 'subsort_<_.[''NeKindSet.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''NeNatList.Sort, ''NatList.Sort], 'subsort_<_.[
    ''NeParameterDeclList.Sort, ''ParameterDeclList.Sort], 'subsort_<_.[
    ''NeParameterList.Sort, ''ParameterList.Sort], 'subsort_<_.[
    ''NeQidList.Sort, ''QidList.Sort], 'subsort_<_.[''NeQidSet.Sort,
    ''QidSet.Sort], 'subsort_<_.[''NeSortSet.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''NeSortSet.Sort, ''SortSet.Sort], 'subsort_<_.[
    ''NeTermList.Sort, ''TermList.Sort], 'subsort_<_.[''NeTypeList.Sort,
    ''NeQidList.Sort], 'subsort_<_.[''NeTypeList.Sort, ''TypeList.Sort],
    'subsort_<_.[''NeTypeSet.Sort, ''NeQidSet.Sort], 'subsort_<_.[
    ''NeTypeSet.Sort, ''TypeSet.Sort], 'subsort_<_.[''NeVariableSet.Sort,
    ''NeQidSet.Sort], 'subsort_<_.[''NeVariableSet.Sort, ''VariableSet.Sort],
    'subsort_<_.[''NzNat.Sort, ''Nat.Sort], 'subsort_<_.[''OpDecl.Sort,
    ''OpDeclSet.Sort], 'subsort_<_.[''OpMapping.Sort, ''OpMappingSet.Sort],
    'subsort_<_.[''ParameterDecl.Sort, ''NeParameterDeclList.Sort],
    'subsort_<_.[''PatternSubjectPair.Sort, ''MatchingProblem.Sort],
    'subsort_<_.[''PrintOption.Sort, ''PrintOptionSet.Sort], 'subsort_<_.[
    ''Qid.Sort, ''Header.Sort], 'subsort_<_.[''Qid.Sort, ''NeQidList.Sort],
    'subsort_<_.[''Qid.Sort, ''NeQidSet.Sort], 'subsort_<_.[''Renaming.Sort,
    ''RenamingSet.Sort], 'subsort_<_.[''Result4Tuple.Sort,
    ''Result4Tuple?.Sort], 'subsort_<_.[''ResultPair.Sort, ''ResultPair?.Sort],
    'subsort_<_.[''ResultTriple.Sort, ''ResultTriple?.Sort], 'subsort_<_.[
    ''Rule.Sort, ''RuleSet.Sort], 'subsort_<_.[''RuleApplication.Sort,
    ''Strategy.Sort], 'subsort_<_.[''SModule.Sort, ''Module.Sort],
    'subsort_<_.[''SModule.Sort, ''StratModule.Sort], 'subsort_<_.[
    ''STheory.Sort, ''Module.Sort], 'subsort_<_.[''STheory.Sort,
    ''StratTheory.Sort], 'subsort_<_.[''SmtResult.Sort, ''SmtResult?.Sort],
    'subsort_<_.[''Sort.Sort, ''Expression.Sort], 'subsort_<_.[''Sort.Sort,
    ''NeSortSet.Sort], 'subsort_<_.[''Sort.Sort, ''Type.Sort], 'subsort_<_.[
    ''SortMapping.Sort, ''SortMappingSet.Sort], 'subsort_<_.[''SortSet.Sort,
    ''TypeSet.Sort], 'subsort_<_.[''StratDecl.Sort, ''StratDeclSet.Sort],
    'subsort_<_.[''StratDefinition.Sort, ''StratDefSet.Sort], 'subsort_<_.[
    ''StratMapping.Sort, ''StratMappingSet.Sort], 'subsort_<_.[
    ''StratModule.Sort, ''Module.Sort], 'subsort_<_.[''StratTheory.Sort,
    ''Module.Sort], 'subsort_<_.[''Strategy.Sort, ''Strategy?.Sort],
    'subsort_<_.[''Strategy.Sort, ''StrategyList.Sort], 'subsort_<_.[
    ''SubsortDecl.Sort, ''SubsortDeclSet.Sort], 'subsort_<_.[
    ''Substitution.Sort, ''Substitution?.Sort], 'subsort_<_.[''Term.Sort,
    ''NeTermList.Sort], 'subsort_<_.[''TermList.Sort, ''GTermList.Sort],
    'subsort_<_.[''TermQid.Sort, ''Qid.Sort], 'subsort_<_.[''TermQid.Sort,
    ''Term.Sort], 'subsort_<_.[''Trace.Sort, ''Trace?.Sort], 'subsort_<_.[
    ''TraceStep.Sort, ''Trace.Sort], 'subsort_<_.[''Type.Sort,
    ''NeTypeList.Sort], 'subsort_<_.[''Type.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''Type.Sort, ''Qid.Sort], 'subsort_<_.[''Type.Sort,
    ''Type?.Sort], 'subsort_<_.[''TypeList.Sort, ''QidList.Sort], 'subsort_<_.[
    ''TypeList.Sort, ''TypeListSet.Sort], 'subsort_<_.[''TypeSet.Sort,
    ''QidSet.Sort], 'subsort_<_.[''TypeSet.Sort, ''TypeListSet.Sort],
    'subsort_<_.[''UnificandPair.Sort, ''UnificationProblem.Sort],
    'subsort_<_.[''UnificationPair.Sort, ''MatchOrUnificationPair.Sort],
    'subsort_<_.[''UnificationPair.Sort, ''UnificationPair?.Sort],
    'subsort_<_.[''UnificationTriple.Sort, ''UnificationTriple?.Sort],
    'subsort_<_.[''UsingPair.Sort, ''UsingPairSet.Sort], 'subsort_<_.[
    ''Variable.Sort, ''NeVariableSet.Sort], 'subsort_<_.[''Variable.Sort,
    ''TermQid.Sort], 'subsort_<_.[''VariableSet.Sort, ''QidSet.Sort],
    'subsort_<_.[''Variant.Sort, ''Variant?.Sort], 'subsort_<_.[
    ''VariantOption.Sort, ''VariantOptionSet.Sort], 'subsort_<_.[
    ''ViewExpression.Sort, ''NeParameterList.Sort], 'subsort_<_.[''Zero.Sort,
    ''Nat.Sort]], '__['op_:_->_`[_`].[''$applySubstitution.Sort, '__[
    ''NeTermList.Sort, ''Substitution.Sort], ''Term.Sort, 'none.AttrSet],
    'op_:_->_`[_`].[''$card.Sort, '__[''QidSet.Sort, ''Nat.Sort], ''Nat.Sort,
    'none.AttrSet], 'op_:_->_`[_`].[''$diff.Sort, '__[''QidSet.Sort,
    ''QidSet.Sort, ''QidSet.Sort], ''QidSet.Sort, 'none.AttrSet],
    'op_:_->_`[_`].[''$intersect.Sort, '__[''QidSet.Sort, ''QidSet.Sort,
    ''QidSet.Sort], ''QidSet.Sort, 'none.AttrSet], 'op_:_->_`[_`].[
    ''$reverse.Sort, '__[''NatList.Sort, ''NatList.Sort], ''NatList.Sort,
    'none.AttrSet], 'op_:_->_`[_`].[''$reverse.Sort, '__[''QidList.Sort,
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    ''T:Term.Variable, ''T:Type.Variable, ''A:Substitution.Variable,
    ''SV:Qid.Variable, ''U:Substitution.Variable, ''UV:Qid.Variable]]],
    ''T:Type.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''getType.Sort,
    '_`[_`][''`{_`,_`,_`,_`}.Qid, '_`,_[''T:Term.Variable, ''T:Type.Variable,
    ''S:Substitution.Variable, ''C:Context.Variable]]], ''T:Type.Variable,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''getType.Sort, '_`[_`][
    ''`{_`,_`,_`}.Qid, '_`,_[''T:Term.Variable, ''T:Type.Variable,
    ''R:Rule.Variable]]], ''T:Type.Variable, 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''getType.Sort, '_`[_`][''`{_`,_`,_`}.Qid, '_`,_[''T:Term.Variable,
    ''T:Type.Variable, ''S:Substitution.Variable]]], ''T:Type.Variable,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''getType.Sort, '_`[_`][
    ''`{_`,_`}.Qid, '_`,_[''T:Term.Variable, ''T:Type.Variable]]],
    ''T:Type.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''getUnifier.Sort,
    '_`[_`][''`{_`,_`,_`,_`,_`,_`,_`}.Qid, '_`,_[''C:Context.Variable,
    ''L:Qid.Variable, ''U:Substitution.Variable, ''UV:Qid.Variable,
    ''T:Term.Variable, ''T:Type.Variable, ''A:Substitution.Variable]]],
    ''U:Substitution.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''getUnifier.Sort, '_`[_`][''`{_`,_`,_`,_`,_`,_`}.Qid, '_`,_[
    ''T:Term.Variable, ''T:Type.Variable, ''A:Substitution.Variable,
    ''SV:Qid.Variable, ''U:Substitution.Variable, ''UV:Qid.Variable]]],
    ''U:Substitution.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''getUnifier.Sort, '_`[_`][''`{_`,_`,_`,_`,_`,_`}.Qid, '_`,_[
    ''T:Term.Variable, ''T:Type.Variable, ''S:Substitution.Variable,
    ''T:NarrowingTrace.Variable, ''U:Substitution.Variable,
    ''UV:Qid.Variable]]], ''U:Substitution.Variable, 'none.AttrSet],
    'eq_=_`[_`].['_`[_`][''getUnifierVariableFamily.Sort, '_`[_`][
    ''`{_`,_`,_`,_`,_`,_`,_`}.Qid, '_`,_[''C:Context.Variable,
    ''L:Qid.Variable, ''U:Substitution.Variable, ''UV:Qid.Variable,
    ''T:Term.Variable, ''T:Type.Variable, ''A:Substitution.Variable]]],
    ''UV:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''getUnifierVariableFamily.Sort, '_`[_`][''`{_`,_`,_`,_`,_`,_`}.Qid, '_`,_[
    ''T:Term.Variable, ''T:Type.Variable, ''A:Substitution.Variable,
    ''SV:Qid.Variable, ''U:Substitution.Variable, ''UV:Qid.Variable]]],
    ''UV:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''getUnifierVariableFamily.Sort, '_`[_`][''`{_`,_`,_`,_`,_`,_`}.Qid, '_`,_[
    ''T:Term.Variable, ''T:Type.Variable, ''S:Substitution.Variable,
    ''T:NarrowingTrace.Variable, ''U:Substitution.Variable,
    ''UV:Qid.Variable]]], ''UV:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''getVariableFamily.Sort, '_`[_`][''`{_`,_`,_`,_`,_`,_`,_`}.Qid,
    '_`,_[''T:Term.Variable, ''T:Type.Variable, ''C:Context.Variable,
    ''L:Qid.Variable, ''TS:Substitution.Variable, ''RS:Substitution.Variable,
    ''V:Qid.Variable]]], ''V:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''getVariableFamily.Sort, '_`[_`][''`{_`,_`,_`,_`,_`}.Qid, '_`,_[
    ''T:Term.Variable, ''S:Substitution.Variable, ''Q:Qid.Variable,
    ''P:Parent.Variable, ''B:Bool.Variable]]], ''Q:Qid.Variable,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''getVariableFamily.Sort, '_`[_`][
    ''`{_`,_`,_`}.Qid, '_`,_[''LS:Substitution.Variable,
    ''RS:Substitution.Variable, ''V:Qid.Variable]]], ''V:Qid.Variable,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''getVariableFamily.Sort, '_`[_`][
    ''`{_`,_`}.Qid, '_`,_[''S:Substitution.Variable, ''V:Qid.Variable]]],
    ''V:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''head.Sort,
    '_`[_`][''__.Sort, '_`,_[''E:Nat.Variable, ''L:NatList.Variable]]],
    ''E:Nat.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''head.Sort,
    '_`[_`][''__.Sort, '_`,_[''E:Qid.Variable, ''L:QidList.Variable]]],
    ''E:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''insert.Sort,
    '_`,_[''E:Qid.Variable, ''S:QidSet.Variable]], '_`[_`][''_;_.Sort, '_`,_[
    ''E:Qid.Variable, ''S:QidSet.Variable]], 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''intersection.Sort, '_`,_[''S:QidSet.Variable,
    ''N:NeQidSet.Variable]], '_`[_`][''$intersect.Sort, '_`,_[
    ''S:QidSet.Variable, ''N:NeQidSet.Variable, ''none.EmptyQidSet.Constant]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''intersection.Sort, '_`,_[
    ''S:QidSet.Variable, ''none.EmptyQidSet.Constant]],
    ''none.EmptyQidSet.Constant, 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''last.Sort, '_`[_`][''__.Sort, '_`,_[''L:NatList.Variable,
    ''E:Nat.Variable]]], ''E:Nat.Variable, 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''last.Sort, '_`[_`][''__.Sort, '_`,_[''L:QidList.Variable,
    ''E:Qid.Variable]]], ''E:Qid.Variable, 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''metaNarrowingApply.Sort, '_`,_[''M:Module.Variable,
    ''T:Term.Variable, ''TL:TermList.Variable, ''Q:Qid.Variable,
    ''N:Nat.Variable]], '_`[_`][''metaNarrowingApply.Sort, '_`,_[
    ''M:Module.Variable, ''T:Term.Variable, ''TL:TermList.Variable,
    ''Q:Qid.Variable, ''none.VariantOptionSet.Constant, ''N:Nat.Variable]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''metaNarrowingSearch.Sort, '_`,_[
    ''M:Module.Variable, ''T:Term.Variable, ''T2:Term.Variable,
    ''S:Qid.Variable, ''B:Bound.Variable, ''F:Qid.Variable, ''N:Nat.Variable]],
    '_`[_`][''metaNarrowingSearch.Sort, '_`,_[''M:Module.Variable,
    ''T:Term.Variable, ''T2:Term.Variable, ''S:Qid.Variable,
    ''B:Bound.Variable, ''F:Qid.Variable, ''none.VariantOptionSet.Constant,
    ''N:Nat.Variable]], 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''metaNarrowingSearchPath.Sort, '_`,_[''M:Module.Variable,
    ''T:Term.Variable, ''T2:Term.Variable, ''S:Qid.Variable,
    ''B:Bound.Variable, ''F:Qid.Variable, ''N:Nat.Variable]], '_`[_`][
    ''metaNarrowingSearchPath.Sort, '_`,_[''M:Module.Variable,
    ''T:Term.Variable, ''T2:Term.Variable, ''S:Qid.Variable,
    ''B:Bound.Variable, ''F:Qid.Variable, ''none.VariantOptionSet.Constant,
    ''N:Nat.Variable]], 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''metaParse.Sort,
    '_`,_[''M:Module.Variable, ''Q:QidList.Variable, ''T:Type?.Variable]],
    '_`[_`][''metaParse.Sort, '_`,_[''M:Module.Variable,
    ''none.EmptyQidSet.Constant, ''Q:QidList.Variable, ''T:Type?.Variable]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''metaPrettyPrint.Sort, '_`,_[
    ''M:Module.Variable, ''T:Term.Variable]], '_`[_`][''metaPrettyPrint.Sort,
    '_`,_[''M:Module.Variable, ''none.EmptyQidSet.Constant, ''T:Term.Variable,
    '_`[_`][''__.Sort, '_`,_[''mixfix.PrintOption.Constant, '_`[_`][''__.Sort,
    '_`,_[''flat.PrintOption.Constant, '_`[_`][''__.Sort, '_`,_[
    ''format.PrintOption.Constant, '_`[_`][''__.Sort, '_`,_[
    ''number.PrintOption.Constant, ''rat.PrintOption.Constant]]]]]]]],
    ''none.EmptyQidSet.Constant]], 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''metaPrettyPrint.Sort, '_`,_[''M:Module.Variable, ''T:Term.Variable,
    ''P:PrintOptionSet.Variable]], '_`[_`][''metaPrettyPrint.Sort, '_`,_[
    ''M:Module.Variable, ''none.EmptyQidSet.Constant, ''T:Term.Variable,
    ''P:PrintOptionSet.Variable, ''none.EmptyQidSet.Constant]], 'none.AttrSet],
    'eq_=_`[_`].['_`[_`][''metaPrettyPrint.Sort, '_`,_[''M:Module.Variable,
    ''VS:VariableSet.Variable, ''T:Term.Variable,
    ''P:PrintOptionSet.Variable]], '_`[_`][''metaPrettyPrint.Sort, '_`,_[
    ''M:Module.Variable, ''VS:VariableSet.Variable, ''T:Term.Variable,
    ''P:PrintOptionSet.Variable, ''none.EmptyQidSet.Constant]], 'none.AttrSet],
    'eq_=_`[_`].['_`[_`][''metaVariantDisjointUnify.Sort, '_`,_[
    ''M:Module.Variable, ''U:UnificationProblem.Variable,
    ''TL:TermList.Variable, ''Q:Qid.Variable, ''N:Nat.Variable]], '_`[_`][
    ''metaVariantDisjointUnify.Sort, '_`,_[''M:Module.Variable,
    ''U:UnificationProblem.Variable, ''TL:TermList.Variable, ''Q:Qid.Variable,
    ''none.VariantOptionSet.Constant, ''N:Nat.Variable]], 'none.AttrSet],
    'eq_=_`[_`].['_`[_`][''metaVariantUnify.Sort, '_`,_[''M:Module.Variable,
    ''U:UnificationProblem.Variable, ''TL:TermList.Variable, ''Q:Qid.Variable,
    ''N:Nat.Variable]], '_`[_`][''metaVariantUnify.Sort, '_`,_[
    ''M:Module.Variable, ''U:UnificationProblem.Variable,
    ''TL:TermList.Variable, ''Q:Qid.Variable, ''none.VariantOptionSet.Constant,
    ''N:Nat.Variable]], 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''not_.Sort,
    ''A:Bool.Variable], '_`[_`][''_xor_.Sort, '_`,_[''true.Bool.Constant,
    ''A:Bool.Variable]], 'none.AttrSet], 'eq_=_`[_`].['_`[_`][''occurs.Sort,
    '_`,_[''E:Nat.Variable, ''nil.NatList.Constant]], ''false.Bool.Constant,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''occurs.Sort, '_`,_[''E:Nat.Variable,
    '_`[_`][''__.Sort, '_`,_[''E':Nat.Variable, ''L:NatList.Variable]]]],
    '_`[_`][''if_then_else_fi.Sort, '_`,_['_`[_`][''_==_.Sort, '_`,_[
    ''E:Nat.Variable, ''E':Nat.Variable]], ''true.Bool.Constant, '_`[_`][
    ''occurs.Sort, '_`,_[''E:Nat.Variable, ''L:NatList.Variable]]]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''occurs.Sort, '_`,_[''E:Qid.Variable,
    ''nil.TypeList.Constant]], ''false.Bool.Constant, 'none.AttrSet],
    'eq_=_`[_`].['_`[_`][''occurs.Sort, '_`,_[''E:Qid.Variable, '_`[_`][
    ''__.Sort, '_`,_[''E':Qid.Variable, ''L:QidList.Variable]]]], '_`[_`][
    ''if_then_else_fi.Sort, '_`,_['_`[_`][''_==_.Sort, '_`,_[''E:Qid.Variable,
    ''E':Qid.Variable]], ''true.Bool.Constant, '_`[_`][''occurs.Sort, '_`,_[
    ''E:Qid.Variable, ''L:QidList.Variable]]]], 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''reverse.Sort, ''L:NatList.Variable], '_`[_`][''$reverse.Sort,
    '_`,_[''L:NatList.Variable, ''nil.NatList.Constant]], 'none.AttrSet],
    'eq_=_`[_`].['_`[_`][''reverse.Sort, ''L:QidList.Variable], '_`[_`][
    ''$reverse.Sort, '_`,_[''L:QidList.Variable, ''nil.TypeList.Constant]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''size.Sort, ''L:NatList.Variable],
    '_`[_`][''$size.Sort, '_`,_[''L:NatList.Variable, ''0.Zero.Constant]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''size.Sort, ''L:QidList.Variable],
    '_`[_`][''$size.Sort, '_`,_[''L:QidList.Variable, ''0.Zero.Constant]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''tail.Sort, '_`[_`][''__.Sort, '_`,_[
    ''E:Nat.Variable, ''L:NatList.Variable]]], ''L:NatList.Variable,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''tail.Sort, '_`[_`][''__.Sort, '_`,_[
    ''E:Qid.Variable, ''L:QidList.Variable]]], ''L:QidList.Variable,
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''union.Sort, '_`,_[
    ''S:QidSet.Variable, ''S':QidSet.Variable]], '_`[_`][''_;_.Sort, '_`,_[
    ''S:QidSet.Variable, ''S':QidSet.Variable]], 'none.AttrSet], 'eq_=_`[_`].[
    '_`[_`][''|_|.Sort, ''S:QidSet.Variable], '_`[_`][''$card.Sort, '_`,_[
    ''S:QidSet.Variable, ''0.Zero.Constant]], 'none.AttrSet]]], 'FModule}
==========================================
reduce in META-LEVEL : upTerm(upModule('META-LEVEL, true)) .
rewrites: 3
result GroundTerm: 'fmod_is_sorts_.____endfm[''META-LEVEL.Sort,
    'nil.ImportList, '_;_[''Assignment.Sort, ''Attr.Sort, ''AttrSet.Sort,
    ''Bool.Sort, ''Bound.Sort, ''CallStrategy.Sort, ''Char.Sort,
    ''Condition.Sort, ''Constant.Sort, ''Context.Sort, ''EmptyCommaList.Sort,
    ''EmptyQidSet.Sort, ''EqCondition.Sort, ''Equation.Sort,
    ''EquationSet.Sort, ''Expression.Sort, ''FModule.Sort, ''FTheory.Sort,
    ''FindResult.Sort, ''GTermList.Sort, ''GroundTerm.Sort,
    ''GroundTermList.Sort, ''Header.Sort, ''Hook.Sort, ''HookList.Sort,
    ''Import.Sort, ''ImportList.Sort, ''Kind.Sort, ''KindSet.Sort,
    ''MatchOrUnificationPair.Sort, ''MatchPair.Sort, ''MatchPair?.Sort,
    ''MatchingProblem.Sort, ''MembAx.Sort, ''MembAxSet.Sort, ''Module.Sort,
    ''ModuleExpression.Sort, ''NarrowingApplyResult.Sort,
    ''NarrowingApplyResult?.Sort, ''NarrowingSearchPathResult.Sort,
    ''NarrowingSearchPathResult?.Sort, ''NarrowingSearchResult.Sort,
    ''NarrowingSearchResult?.Sort, ''NarrowingStep.Sort, ''NarrowingTrace.Sort,
    ''Nat.Sort, ''NatList.Sort, ''NeCTermList.Sort, ''NeGroundTermList.Sort,
    ''NeHookList.Sort, ''NeKindSet.Sort, ''NeNatList.Sort,
    ''NeParameterDeclList.Sort, ''NeParameterList.Sort, ''NeQidList.Sort,
    ''NeQidSet.Sort, ''NeSortSet.Sort, ''NeTermList.Sort, ''NeTypeList.Sort,
    ''NeTypeSet.Sort, ''NeVariableSet.Sort, ''NzNat.Sort, ''OpDecl.Sort,
    ''OpDeclSet.Sort, ''OpMapping.Sort, ''OpMappingSet.Sort,
    ''ParameterDecl.Sort, ''ParameterDeclList.Sort, ''ParameterList.Sort,
    ''Parent.Sort, ''PatternSubjectPair.Sort, ''PrintOption.Sort,
    ''PrintOptionSet.Sort, ''Qid.Sort, ''QidList.Sort, ''QidSet.Sort,
    ''Renaming.Sort, ''RenamingSet.Sort, ''Result4Tuple.Sort,
    ''Result4Tuple?.Sort, ''ResultPair.Sort, ''ResultPair?.Sort,
    ''ResultTriple.Sort, ''ResultTriple?.Sort, ''Rule.Sort,
    ''RuleApplication.Sort, ''RuleSet.Sort, ''SModule.Sort, ''STheory.Sort,
    ''SmtResult.Sort, ''SmtResult?.Sort, ''Sort.Sort, ''SortMapping.Sort,
    ''SortMappingSet.Sort, ''SortSet.Sort, ''SrewriteOption.Sort,
    ''StratDecl.Sort, ''StratDeclSet.Sort, ''StratDefSet.Sort,
    ''StratDefinition.Sort, ''StratMapping.Sort, ''StratMappingSet.Sort,
    ''StratModule.Sort, ''StratTheory.Sort, ''Strategy.Sort, ''Strategy?.Sort,
    ''StrategyList.Sort, ''String.Sort, ''SubsortDecl.Sort,
    ''SubsortDeclSet.Sort, ''Substitution.Sort, ''Substitution?.Sort,
    ''Term.Sort, ''TermList.Sort, ''TermQid.Sort, ''Trace.Sort, ''Trace?.Sort,
    ''TraceStep.Sort, ''Type.Sort, ''Type?.Sort, ''TypeList.Sort,
    ''TypeListSet.Sort, ''TypeSet.Sort, ''UnificandPair.Sort,
    ''UnificationPair.Sort, ''UnificationPair?.Sort, ''UnificationProblem.Sort,
    ''UnificationTriple.Sort, ''UnificationTriple?.Sort, ''UsingPair.Sort,
    ''UsingPairSet.Sort, ''Variable.Sort, ''VariableSet.Sort, ''Variant.Sort,
    ''Variant?.Sort, ''VariantOption.Sort, ''VariantOptionSet.Sort,
    ''View.Sort, ''ViewExpression.Sort, ''Zero.Sort], '__['subsort_<_.[
    ''Assignment.Sort, ''Substitution.Sort], 'subsort_<_.[''Attr.Sort,
    ''AttrSet.Sort], 'subsort_<_.[''CallStrategy.Sort, ''Strategy.Sort],
    'subsort_<_.[''Char.Sort, ''String.Sort], 'subsort_<_.[''Constant.Sort,
    ''GroundTerm.Sort], 'subsort_<_.[''Constant.Sort, ''TermQid.Sort],
    'subsort_<_.[''Context.Sort, ''NeCTermList.Sort], 'subsort_<_.[
    ''EmptyCommaList.Sort, ''GroundTermList.Sort], 'subsort_<_.[
    ''EmptyCommaList.Sort, ''ParameterList.Sort], 'subsort_<_.[
    ''EmptyQidSet.Sort, ''KindSet.Sort], 'subsort_<_.[''EmptyQidSet.Sort,
    ''SortSet.Sort], 'subsort_<_.[''EmptyQidSet.Sort, ''VariableSet.Sort],
    'subsort_<_.[''EqCondition.Sort, ''Condition.Sort], 'subsort_<_.[
    ''Equation.Sort, ''EquationSet.Sort], 'subsort_<_.[''Expression.Sort,
    ''ModuleExpression.Sort], 'subsort_<_.[''Expression.Sort,
    ''ViewExpression.Sort], 'subsort_<_.[''FModule.Sort, ''SModule.Sort],
    'subsort_<_.[''FTheory.Sort, ''STheory.Sort], 'subsort_<_.[
    ''GroundTerm.Sort, ''NeGroundTermList.Sort], 'subsort_<_.[
    ''GroundTerm.Sort, ''Term.Sort], 'subsort_<_.[''GroundTermList.Sort,
    ''TermList.Sort], 'subsort_<_.[''Hook.Sort, ''NeHookList.Sort],
    'subsort_<_.[''Import.Sort, ''ImportList.Sort], 'subsort_<_.[''Kind.Sort,
    ''NeKindSet.Sort], 'subsort_<_.[''Kind.Sort, ''Type.Sort], 'subsort_<_.[
    ''KindSet.Sort, ''TypeSet.Sort], 'subsort_<_.[''MatchPair.Sort,
    ''MatchOrUnificationPair.Sort], 'subsort_<_.[''MatchPair.Sort,
    ''MatchPair?.Sort], 'subsort_<_.[''MembAx.Sort, ''MembAxSet.Sort],
    'subsort_<_.[''NarrowingApplyResult.Sort, ''NarrowingApplyResult?.Sort],
    'subsort_<_.[''NarrowingSearchPathResult.Sort,
    ''NarrowingSearchPathResult?.Sort], 'subsort_<_.[
    ''NarrowingSearchResult.Sort, ''NarrowingSearchResult?.Sort], 'subsort_<_.[
    ''NarrowingStep.Sort, ''NarrowingTrace.Sort], 'subsort_<_.[''Nat.Sort,
    ''Bound.Sort], 'subsort_<_.[''Nat.Sort, ''FindResult.Sort], 'subsort_<_.[
    ''Nat.Sort, ''NeNatList.Sort], 'subsort_<_.[''Nat.Sort, ''Parent.Sort],
    'subsort_<_.[''NeCTermList.Sort, ''GTermList.Sort], 'subsort_<_.[
    ''NeGroundTermList.Sort, ''GroundTermList.Sort], 'subsort_<_.[
    ''NeGroundTermList.Sort, ''NeTermList.Sort], 'subsort_<_.[
    ''NeHookList.Sort, ''HookList.Sort], 'subsort_<_.[''NeKindSet.Sort,
    ''KindSet.Sort], 'subsort_<_.[''NeKindSet.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''NeNatList.Sort, ''NatList.Sort], 'subsort_<_.[
    ''NeParameterDeclList.Sort, ''ParameterDeclList.Sort], 'subsort_<_.[
    ''NeParameterList.Sort, ''ParameterList.Sort], 'subsort_<_.[
    ''NeQidList.Sort, ''QidList.Sort], 'subsort_<_.[''NeQidSet.Sort,
    ''QidSet.Sort], 'subsort_<_.[''NeSortSet.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''NeSortSet.Sort, ''SortSet.Sort], 'subsort_<_.[
    ''NeTermList.Sort, ''TermList.Sort], 'subsort_<_.[''NeTypeList.Sort,
    ''NeQidList.Sort], 'subsort_<_.[''NeTypeList.Sort, ''TypeList.Sort],
    'subsort_<_.[''NeTypeSet.Sort, ''NeQidSet.Sort], 'subsort_<_.[
    ''NeTypeSet.Sort, ''TypeSet.Sort], 'subsort_<_.[''NeVariableSet.Sort,
    ''NeQidSet.Sort], 'subsort_<_.[''NeVariableSet.Sort, ''VariableSet.Sort],
    'subsort_<_.[''NzNat.Sort, ''Nat.Sort], 'subsort_<_.[''OpDecl.Sort,
    ''OpDeclSet.Sort], 'subsort_<_.[''OpMapping.Sort, ''OpMappingSet.Sort],
    'subsort_<_.[''ParameterDecl.Sort, ''NeParameterDeclList.Sort],
    'subsort_<_.[''PatternSubjectPair.Sort, ''MatchingProblem.Sort],
    'subsort_<_.[''PrintOption.Sort, ''PrintOptionSet.Sort], 'subsort_<_.[
    ''Qid.Sort, ''Header.Sort], 'subsort_<_.[''Qid.Sort, ''NeQidList.Sort],
    'subsort_<_.[''Qid.Sort, ''NeQidSet.Sort], 'subsort_<_.[''Renaming.Sort,
    ''RenamingSet.Sort], 'subsort_<_.[''Result4Tuple.Sort,
    ''Result4Tuple?.Sort], 'subsort_<_.[''ResultPair.Sort, ''ResultPair?.Sort],
    'subsort_<_.[''ResultTriple.Sort, ''ResultTriple?.Sort], 'subsort_<_.[
    ''Rule.Sort, ''RuleSet.Sort], 'subsort_<_.[''RuleApplication.Sort,
    ''Strategy.Sort], 'subsort_<_.[''SModule.Sort, ''Module.Sort],
    'subsort_<_.[''SModule.Sort, ''StratModule.Sort], 'subsort_<_.[
    ''STheory.Sort, ''Module.Sort], 'subsort_<_.[''STheory.Sort,
    ''StratTheory.Sort], 'subsort_<_.[''SmtResult.Sort, ''SmtResult?.Sort],
    'subsort_<_.[''Sort.Sort, ''Expression.Sort], 'subsort_<_.[''Sort.Sort,
    ''NeSortSet.Sort], 'subsort_<_.[''Sort.Sort, ''Type.Sort], 'subsort_<_.[
    ''SortMapping.Sort, ''SortMappingSet.Sort], 'subsort_<_.[''SortSet.Sort,
    ''TypeSet.Sort], 'subsort_<_.[''StratDecl.Sort, ''StratDeclSet.Sort],
    'subsort_<_.[''StratDefinition.Sort, ''StratDefSet.Sort], 'subsort_<_.[
    ''StratMapping.Sort, ''StratMappingSet.Sort], 'subsort_<_.[
    ''StratModule.Sort, ''Module.Sort], 'subsort_<_.[''StratTheory.Sort,
    ''Module.Sort], 'subsort_<_.[''Strategy.Sort, ''Strategy?.Sort],
    'subsort_<_.[''Strategy.Sort, ''StrategyList.Sort], 'subsort_<_.[
    ''SubsortDecl.Sort, ''SubsortDeclSet.Sort], 'subsort_<_.[
    ''Substitution.Sort, ''Substitution?.Sort], 'subsort_<_.[''Term.Sort,
    ''NeTermList.Sort], 'subsort_<_.[''TermList.Sort, ''GTermList.Sort],
    'subsort_<_.[''TermQid.Sort, ''Qid.Sort], 'subsort_<_.[''TermQid.Sort,
    ''Term.Sort], 'subsort_<_.[''Trace.Sort, ''Trace?.Sort], 'subsort_<_.[
    ''TraceStep.Sort, ''Trace.Sort], 'subsort_<_.[''Type.Sort,
    ''NeTypeList.Sort], 'subsort_<_.[''Type.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''Type.Sort, ''Qid.Sort], 'subsort_<_.[''Type.Sort,
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    'eq_=_`[_`].['_`[_`][''getType.Sort, '_`[_`][''`{_`,_`,_`,_`,_`,_`,_`}.Qid,
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    ''L:Qid.Variable, ''TS:Substitution.Variable, ''RS:Substitution.Variable,
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    '_`[_`][''metaParse.Sort, '_`,_[''M:Module.Variable,
    ''none.EmptyQidSet.Constant, ''Q:QidList.Variable, ''T:Type?.Variable]],
    'none.AttrSet], 'eq_=_`[_`].['_`[_`][''metaPrettyPrint.Sort, '_`,_[
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    '_`,_[''M:Module.Variable, ''none.EmptyQidSet.Constant, ''T:Term.Variable,
    '_`[_`][''__.Sort, '_`,_[''mixfix.PrintOption.Constant, '_`[_`][''__.Sort,
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    ''none.EmptyQidSet.Constant]], 'none.AttrSet], 'eq_=_`[_`].['_`[_`][
    ''metaPrettyPrint.Sort, '_`,_[''M:Module.Variable, ''T:Term.Variable,
    ''P:PrintOptionSet.Variable]], '_`[_`][''metaPrettyPrint.Sort, '_`,_[
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    ''TL:TermList.Variable, ''Q:Qid.Variable, ''none.VariantOptionSet.Constant,
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    ''E':Qid.Variable]], ''true.Bool.Constant, '_`[_`][''occurs.Sort, '_`,_[
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    '_`[_`][''|_|.Sort, ''S:QidSet.Variable], '_`[_`][''$card.Sort, '_`,_[
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==========================================
reduce in META-LEVEL : {upTerm(upModule('META-LEVEL, true)), 'FModule} .
rewrites: 3
result ResultPair: {'fmod_is_sorts_.____endfm[''META-LEVEL.Sort,
    'nil.ImportList, '_;_[''Assignment.Sort, ''Attr.Sort, ''AttrSet.Sort,
    ''Bool.Sort, ''Bound.Sort, ''CallStrategy.Sort, ''Char.Sort,
    ''Condition.Sort, ''Constant.Sort, ''Context.Sort, ''EmptyCommaList.Sort,
    ''EmptyQidSet.Sort, ''EqCondition.Sort, ''Equation.Sort,
    ''EquationSet.Sort, ''Expression.Sort, ''FModule.Sort, ''FTheory.Sort,
    ''FindResult.Sort, ''GTermList.Sort, ''GroundTerm.Sort,
    ''GroundTermList.Sort, ''Header.Sort, ''Hook.Sort, ''HookList.Sort,
    ''Import.Sort, ''ImportList.Sort, ''Kind.Sort, ''KindSet.Sort,
    ''MatchOrUnificationPair.Sort, ''MatchPair.Sort, ''MatchPair?.Sort,
    ''MatchingProblem.Sort, ''MembAx.Sort, ''MembAxSet.Sort, ''Module.Sort,
    ''ModuleExpression.Sort, ''NarrowingApplyResult.Sort,
    ''NarrowingApplyResult?.Sort, ''NarrowingSearchPathResult.Sort,
    ''NarrowingSearchPathResult?.Sort, ''NarrowingSearchResult.Sort,
    ''NarrowingSearchResult?.Sort, ''NarrowingStep.Sort, ''NarrowingTrace.Sort,
    ''Nat.Sort, ''NatList.Sort, ''NeCTermList.Sort, ''NeGroundTermList.Sort,
    ''NeHookList.Sort, ''NeKindSet.Sort, ''NeNatList.Sort,
    ''NeParameterDeclList.Sort, ''NeParameterList.Sort, ''NeQidList.Sort,
    ''NeQidSet.Sort, ''NeSortSet.Sort, ''NeTermList.Sort, ''NeTypeList.Sort,
    ''NeTypeSet.Sort, ''NeVariableSet.Sort, ''NzNat.Sort, ''OpDecl.Sort,
    ''OpDeclSet.Sort, ''OpMapping.Sort, ''OpMappingSet.Sort,
    ''ParameterDecl.Sort, ''ParameterDeclList.Sort, ''ParameterList.Sort,
    ''Parent.Sort, ''PatternSubjectPair.Sort, ''PrintOption.Sort,
    ''PrintOptionSet.Sort, ''Qid.Sort, ''QidList.Sort, ''QidSet.Sort,
    ''Renaming.Sort, ''RenamingSet.Sort, ''Result4Tuple.Sort,
    ''Result4Tuple?.Sort, ''ResultPair.Sort, ''ResultPair?.Sort,
    ''ResultTriple.Sort, ''ResultTriple?.Sort, ''Rule.Sort,
    ''RuleApplication.Sort, ''RuleSet.Sort, ''SModule.Sort, ''STheory.Sort,
    ''SmtResult.Sort, ''SmtResult?.Sort, ''Sort.Sort, ''SortMapping.Sort,
    ''SortMappingSet.Sort, ''SortSet.Sort, ''SrewriteOption.Sort,
    ''StratDecl.Sort, ''StratDeclSet.Sort, ''StratDefSet.Sort,
    ''StratDefinition.Sort, ''StratMapping.Sort, ''StratMappingSet.Sort,
    ''StratModule.Sort, ''StratTheory.Sort, ''Strategy.Sort, ''Strategy?.Sort,
    ''StrategyList.Sort, ''String.Sort, ''SubsortDecl.Sort,
    ''SubsortDeclSet.Sort, ''Substitution.Sort, ''Substitution?.Sort,
    ''Term.Sort, ''TermList.Sort, ''TermQid.Sort, ''Trace.Sort, ''Trace?.Sort,
    ''TraceStep.Sort, ''Type.Sort, ''Type?.Sort, ''TypeList.Sort,
    ''TypeListSet.Sort, ''TypeSet.Sort, ''UnificandPair.Sort,
    ''UnificationPair.Sort, ''UnificationPair?.Sort, ''UnificationProblem.Sort,
    ''UnificationTriple.Sort, ''UnificationTriple?.Sort, ''UsingPair.Sort,
    ''UsingPairSet.Sort, ''Variable.Sort, ''VariableSet.Sort, ''Variant.Sort,
    ''Variant?.Sort, ''VariantOption.Sort, ''VariantOptionSet.Sort,
    ''View.Sort, ''ViewExpression.Sort, ''Zero.Sort], '__['subsort_<_.[
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    ''AttrSet.Sort], 'subsort_<_.[''CallStrategy.Sort, ''Strategy.Sort],
    'subsort_<_.[''Char.Sort, ''String.Sort], 'subsort_<_.[''Constant.Sort,
    ''GroundTerm.Sort], 'subsort_<_.[''Constant.Sort, ''TermQid.Sort],
    'subsort_<_.[''Context.Sort, ''NeCTermList.Sort], 'subsort_<_.[
    ''EmptyCommaList.Sort, ''GroundTermList.Sort], 'subsort_<_.[
    ''EmptyCommaList.Sort, ''ParameterList.Sort], 'subsort_<_.[
    ''EmptyQidSet.Sort, ''KindSet.Sort], 'subsort_<_.[''EmptyQidSet.Sort,
    ''SortSet.Sort], 'subsort_<_.[''EmptyQidSet.Sort, ''VariableSet.Sort],
    'subsort_<_.[''EqCondition.Sort, ''Condition.Sort], 'subsort_<_.[
    ''Equation.Sort, ''EquationSet.Sort], 'subsort_<_.[''Expression.Sort,
    ''ModuleExpression.Sort], 'subsort_<_.[''Expression.Sort,
    ''ViewExpression.Sort], 'subsort_<_.[''FModule.Sort, ''SModule.Sort],
    'subsort_<_.[''FTheory.Sort, ''STheory.Sort], 'subsort_<_.[
    ''GroundTerm.Sort, ''NeGroundTermList.Sort], 'subsort_<_.[
    ''GroundTerm.Sort, ''Term.Sort], 'subsort_<_.[''GroundTermList.Sort,
    ''TermList.Sort], 'subsort_<_.[''Hook.Sort, ''NeHookList.Sort],
    'subsort_<_.[''Import.Sort, ''ImportList.Sort], 'subsort_<_.[''Kind.Sort,
    ''NeKindSet.Sort], 'subsort_<_.[''Kind.Sort, ''Type.Sort], 'subsort_<_.[
    ''KindSet.Sort, ''TypeSet.Sort], 'subsort_<_.[''MatchPair.Sort,
    ''MatchOrUnificationPair.Sort], 'subsort_<_.[''MatchPair.Sort,
    ''MatchPair?.Sort], 'subsort_<_.[''MembAx.Sort, ''MembAxSet.Sort],
    'subsort_<_.[''NarrowingApplyResult.Sort, ''NarrowingApplyResult?.Sort],
    'subsort_<_.[''NarrowingSearchPathResult.Sort,
    ''NarrowingSearchPathResult?.Sort], 'subsort_<_.[
    ''NarrowingSearchResult.Sort, ''NarrowingSearchResult?.Sort], 'subsort_<_.[
    ''NarrowingStep.Sort, ''NarrowingTrace.Sort], 'subsort_<_.[''Nat.Sort,
    ''Bound.Sort], 'subsort_<_.[''Nat.Sort, ''FindResult.Sort], 'subsort_<_.[
    ''Nat.Sort, ''NeNatList.Sort], 'subsort_<_.[''Nat.Sort, ''Parent.Sort],
    'subsort_<_.[''NeCTermList.Sort, ''GTermList.Sort], 'subsort_<_.[
    ''NeGroundTermList.Sort, ''GroundTermList.Sort], 'subsort_<_.[
    ''NeGroundTermList.Sort, ''NeTermList.Sort], 'subsort_<_.[
    ''NeHookList.Sort, ''HookList.Sort], 'subsort_<_.[''NeKindSet.Sort,
    ''KindSet.Sort], 'subsort_<_.[''NeKindSet.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''NeNatList.Sort, ''NatList.Sort], 'subsort_<_.[
    ''NeParameterDeclList.Sort, ''ParameterDeclList.Sort], 'subsort_<_.[
    ''NeParameterList.Sort, ''ParameterList.Sort], 'subsort_<_.[
    ''NeQidList.Sort, ''QidList.Sort], 'subsort_<_.[''NeQidSet.Sort,
    ''QidSet.Sort], 'subsort_<_.[''NeSortSet.Sort, ''NeTypeSet.Sort],
    'subsort_<_.[''NeSortSet.Sort, ''SortSet.Sort], 'subsort_<_.[
    ''NeTermList.Sort, ''TermList.Sort], 'subsort_<_.[''NeTypeList.Sort,
    ''NeQidList.Sort], 'subsort_<_.[''NeTypeList.Sort, ''TypeList.Sort],
    'subsort_<_.[''NeTypeSet.Sort, ''NeQidSet.Sort], 'subsort_<_.[
    ''NeTypeSet.Sort, ''TypeSet.Sort], 'subsort_<_.[''NeVariableSet.Sort,
    ''NeQidSet.Sort], 'subsort_<_.[''NeVariableSet.Sort, ''VariableSet.Sort],
    'subsort_<_.[''NzNat.Sort, ''Nat.Sort], 'subsort_<_.[''OpDecl.Sort,
    ''OpDeclSet.Sort], 'subsort_<_.[''OpMapping.Sort, ''OpMappingSet.Sort],
    'subsort_<_.[''ParameterDecl.Sort, ''NeParameterDeclList.Sort],
    'subsort_<_.[''PatternSubjectPair.Sort, ''MatchingProblem.Sort],
    'subsort_<_.[''PrintOption.Sort, ''PrintOptionSet.Sort], 'subsort_<_.[
    ''Qid.Sort, ''Header.Sort], 'subsort_<_.[''Qid.Sort, ''NeQidList.Sort],
    'subsort_<_.[''Qid.Sort, ''NeQidSet.Sort], 'subsort_<_.[''Renaming.Sort,
    ''RenamingSet.Sort], 'subsort_<_.[''Result4Tuple.Sort,
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==========================================
reduce in META-LEVEL : metaReduce(upModule('META-LEVEL, true), 'upModule[
    upTerm('META-LEVEL), upTerm(true)]) == {upTerm(upModule('META-LEVEL,
    true)), 'FModule} .
rewrites: 9
result Bool: false
Bye.