LEFT_OR_PFORALL_CONV
PairRules.LEFT_OR_PFORALL_CONV : conv
Moves a paired universal quantification of the left disjunct outwards through a disjunction.
When applied to a term of the form (!p. t) \/ u, the conversion
LEFT_OR_FORALL_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 that appear free in the input term.
Failure
Fails if applied to a term not of the form (!p. t) \/ u.
See also
Conv.LEFT_OR_FORALL_CONV,
PairRules.OR_PFORALL_CONV,
PairRules.PFORALL_OR_CONV,
PairRules.RIGHT_OR_PFORALL_CONV