---------------------------------------------------------------------- CONTRAPOS_CONV (Conv) ---------------------------------------------------------------------- CONTRAPOS_CONV : conv SYNOPSIS Proves the equivalence of an implication and its contrapositive. KEYWORDS conversion, contrapositive, implication. DESCRIBE When applied to an implication {P ==> Q}, the conversion {CONTRAPOS_CONV} returns the theorem: |- (P ==> Q) = (~Q ==> ~P) FAILURE Fails if applied to a term that is not an implication. SEEALSO Drule.CONTRAPOS. ----------------------------------------------------------------------