---------------------------------------------------------------------- CONTRAPOS (Drule) ---------------------------------------------------------------------- CONTRAPOS : (thm -> thm) SYNOPSIS Deduces the contrapositive of an implication. KEYWORDS rule, contrapositive, implication. DESCRIBE When applied to a theorem {A |- s ==> t}, the inference rule {CONTRAPOS} returns its contrapositive, {A |- ~t ==> ~s}. A |- s ==> t ---------------- CONTRAPOS A |- ~t ==> ~s FAILURE Fails unless the theorem is an implication. SEEALSO Thm.CCONTR, Drule.CONTR, Conv.CONTRAPOS_CONV, Thm.NOT_ELIM. ----------------------------------------------------------------------