Built-in axioms and theorems
of the
Theorem:
(defthm fn-equal-is-an-equivalence (and (booleanp (fn-equal x y)) (fn-equal x x) (implies (fn-equal x y) (fn-equal y x)) (implies (and (fn-equal x y) (fn-equal y z)) (fn-equal x z))) :rule-classes (:equivalence))
Theorem:
(defthm iff-is-an-equivalence (and (booleanp (iff x y)) (iff x x) (implies (iff x y) (iff y x)) (implies (and (iff x y) (iff y z)) (iff x z))) :rule-classes (:equivalence))