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#############################################################################
##
#W invsgp.gd GAP library J. D. Mitchell
##
#Y Copyright (C) 1997, Lehrstuhl D für Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St Andrews, Scotland
#Y Copyright (C) 2002 The GAP Group
##
## This file contains the declaration of operations for inverse semigroups.
##
DeclareSynonym("IsInverseMonoid", IsMonoid and IsInverseSemigroup);
DeclareOperation("IsInverseSubsemigroup", [IsSemigroup, IsSemigroup]);
DeclareGlobalFunction("InverseMonoid");
DeclareGlobalFunction("InverseSemigroup");
DeclareProperty("IsGeneratorsOfInverseSemigroup", IsListOrCollection);
InstallTrueMethod(IsGeneratorsOfSemigroup, IsGeneratorsOfInverseSemigroup);
DeclareAttribute("GeneratorsOfInverseMonoid", IsInverseSemigroup);
DeclareAttribute("GeneratorsOfInverseSemigroup", IsInverseSemigroup);
DeclareOperation("InverseMonoidByGenerators", [IsCollection]);
DeclareOperation("InverseSemigroupByGenerators", [IsCollection]);
DeclareOperation("InverseSubsemigroup",
[IsInverseSemigroup, IsCollection]);
DeclareOperation("InverseSubsemigroupNC",
[IsInverseSemigroup, IsCollection]);
DeclareOperation("InverseSubmonoid",
[IsInverseMonoid, IsCollection]);
DeclareOperation("InverseSubmonoidNC",
[IsInverseMonoid, IsCollection]);
DeclareAttribute("AsInverseSemigroup", IsCollection);
DeclareAttribute("AsInverseMonoid", IsCollection);
DeclareOperation("AsInverseSubsemigroup", [IsDomain, IsCollection]);
DeclareOperation("AsInverseSubmonoid", [IsDomain, IsCollection]);
DeclareAttribute("ReverseNaturalPartialOrder", IsSemigroup);
DeclareAttribute("NaturalPartialOrder", IsSemigroup);
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