---------------------------------------------------------------------- MK_PAIR (PairRules) ---------------------------------------------------------------------- MK_PAIR : thm * thm -> thm LIBRARY pair SYNOPSIS Proves equality of pairs constructed from equal components. KEYWORDS rule, pair, equality. DESCRIBE When applied to theorems {A1 |- a = x} and {A2 |- b = y}, the inference rule {MK_PAIR} returns the theorem {A1 u A2 |- (a,b) = (x,y)}. A1 |- a = x A2 |- b = y --------------------------- MK_PAIR A1 u A2 |- (a,b) = (x,y) FAILURE Fails unless both theorems are equational. ----------------------------------------------------------------------