File: EQ_TAC.doc

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\DOC EQ_TAC

\TYPE {EQ_TAC : tactic}

\SYNOPSIS
Reduces goal of equality of boolean terms to forward and backward implication.

\KEYWORDS
tactic, equality, implication.

\DESCRIBE
When applied to a goal {A ?- t1 <=> t2}, where {t1} and {t2} have type {bool},
the tactic {EQ_TAC} returns the subgoals {A ?- t1 ==> t2} and
{A ?- t2 ==> t1}.
{
             A ?- t1 <=> t2
   =================================  EQ_TAC
    A ?- t1 ==> t2   A ?- t2 ==> t1
}

\FAILURE
Fails unless the conclusion of the goal is an equation between boolean terms.

\SEEALSO
EQ_IMP_RULE, IMP_ANTISYM_RULE.

\ENDDOC