LEFT_IMP_FORALL_CONV : conv
STRUCTURE
Conv
SYNOPSIS
Moves a universal quantification of the antecedent outwards through an implication.
DESCRIPTION
When applied to a term of the form
(!x.P) ==> Q
, the conversion
LEFT_IMP_FORALL_CONV
returns the theorem:
|- (!x.P) ==> Q = (?x'. P[x'/x] ==> Q)
where
x'
is a primed variant of
x
that does not appear free in the input term.
FAILURE
Fails if applied to a term not of the form
(!x.P) ==> Q
.
SEEALSO
EXISTS_IMP_CONV
,
RIGHT_IMP_FORALL_CONV
HOL
Kananaskis-13