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