LEFT_OR_PEXISTS_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired existential quantification of the left disjunct outwards through a disjunction.
DESCRIPTION
When applied to a term of the form
(?p. t) \/ u
, the conversion
LEFT_OR_PEXISTS_CONV
returns the theorem:
|- (?p. t) \/ u = (?p'. t[p'/p] \/ u)
where
p'
is a primed variant of the pair
p
that does not contain any variables free in the input term.
FAILURE
Fails if applied to a term not of the form
(?p. t) \/ u
.
SEEALSO
LEFT_OR_EXISTS_CONV
,
PEXISTS_OR_CONV
,
OR_PEXISTS_CONV
,
RIGHT_OR_PEXISTS_CONV
HOL
Kananaskis-14