MK_PFORALL

PairRules.MK_PFORALL : (thm -> thm)

Universally quantifies both sides of a universally quantified equational theorem.

When applied to a theorem A |- !p. t1 = t2, the inference rule MK_PFORALL returns the theorem A |- (!x. t1) = (!x. t2).

       A |- !p. t1 = t2
   --------------------------  MK_PFORALL
    A |- (!p. t1) = (!p. t2)

Failure

Fails unless the theorem is a singly paired universally quantified equation.

See also

PairRules.PFORALL_EQ, PairRules.LIST_MK_PFORALL, PairRules.MK_PABS