RIGHT_IMP_PFORALL_CONV

PairRules.RIGHT_IMP_PFORALL_CONV : conv

Moves a paired universal quantification of the consequent outwards through an implication.

When applied to a term of the form t ==> (!p. u), the conversion RIGHT_IMP_FORALL_CONV returns the theorem:

   |- t ==> (!p. u) = (!p'. t ==> (u[p'/p]))

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 t ==> (!p. u).

See also

Conv.RIGHT_IMP_FORALL_CONV, PairRules.PFORALL_IMP_CONV, PairRules.LEFT_IMP_PEXISTS_CONV