RIGHT_IMP_EXISTS_CONV : conv
STRUCTURE
Conv
SYNOPSIS
Moves an existential quantification of the consequent outwards through an implication.
DESCRIPTION
When applied to a term of the form
P ==> (?x.Q)
, the conversion
RIGHT_IMP_EXISTS_CONV
returns the theorem:
|- P ==> (?x.Q) = (?x'. P ==> (Q[x'/x]))
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
P ==> (?x.Q)
.
SEEALSO
EXISTS_IMP_CONV
,
LEFT_IMP_FORALL_CONV
HOL
Kananaskis-13