---------------------------------------------------------------------- IMP_CONJ (Drule) ---------------------------------------------------------------------- IMP_CONJ : (thm -> thm -> thm) SYNOPSIS Conjoins antecedents and consequents of two implications. KEYWORDS rule, implication, conjunction. DESCRIBE When applied to theorems {A1 |- p ==> r} and {A2 |- q ==> s}, the {IMP_CONJ} inference rule returns the theorem {A1 u A2 |- p /\ q ==> r /\ s}. A1 |- p ==> r A2 |- q ==> s -------------------------------- IMP_CONJ A1 u A2 |- p /\ q ==> r /\ s FAILURE Fails unless the conclusions of both theorems are implicative. SEEALSO Thm.CONJ. ----------------------------------------------------------------------