GEN_TAC : tactic

SYNOPSIS
Strips the outermost universal quantifier from the conclusion of a goal.

DESCRIPTION
When applied to a goal A ?- !x. t, the tactic GEN_TAC reduces it to A ?- t[x'/x] where x' is a variant of x chosen to avoid clashing with any variables free in the goal's assumption list. Normally x' is just x.
     A ?- !x. t
   ==============  GEN_TAC
    A ?- t[x'/x]

FAILURE CONDITIONS
Fails unless the goal's conclusion is universally quantified.

USES
The tactic REPEAT GEN_TAC strips away any universal quantifiers, and is commonly used before tactics relying on the underlying term structure.

SEE ALSO
FIX_TAC, GEN, GENL, GEN_ALL, INTRO_TAC, SPEC, SPECL, SPEC_ALL, SPEC_TAC, STRIP_TAC, X_GEN_TAC.