NOT_PFORALL_CONV

PairRules.NOT_PFORALL_CONV : conv

Moves negation inwards through a paired universal quantification.

When applied to a term of the form ~(!p. t), the conversion NOT_PFORALL_CONV returns the theorem:

   |- ~(!p. t) = (?p. ~t)

It is irrelevant whether any variables in p occur free in t.

Failure

Fails if applied to a term not of the form ~(!p. t).

See also

Conv.NOT_FORALL_CONV, PairRules.PEXISTS_NOT_CONV, PairRules.PFORALL_NOT_CONV, PairRules.NOT_PEXISTS_CONV