---------------------------------------------------------------------- MK_PSELECT (PairRules) ---------------------------------------------------------------------- MK_PSELECT : (thm -> thm) KEYWORDS rule, quantifier, select, equality. LIBRARY pair SYNOPSIS Quantifies both sides of a universally quantified equational theorem with the choice quantifier. DESCRIBE When applied to a theorem {A |- !p. t1 = t2}, the inference rule {MK_PSELECT} returns the theorem {A |- (@x. t1) = (@x. t2)}. A |- !p. t1 = t2 -------------------------- MK_PSELECT A |- (@p. t1) = (@p. t2) FAILURE Fails unless the theorem is a singly paired universally quantified equation. SEEALSO PairRules.PSELECT_EQ, PairRules.MK_PABS. ----------------------------------------------------------------------