RIGHT_OR_PFORALL_CONV

PairRules.RIGHT_OR_PFORALL_CONV : conv

Moves a paired universal quantification of the right disjunct outwards through a disjunction.

When applied to a term of the form t \/ (!p. u), the conversion RIGHT_OR_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_OR_FORALL_CONV, PairRules.OR_PFORALL_CONV, PairRules.PFORALL_OR_CONV, PairRules.LEFT_OR_PFORALL_CONV