;; IVY operation: PROVE
;;
;; xx=e groups are commutative.

(imp (and (all x (= (f (e) x) x))
	  (all x (= (f (g x) x) (e)))
	  (all x (all y (all z (= (f (f x y) z) (f x (f y z))))))
	  (all x (= (f x x) (e)))
	  (all x (= x x)))

     (all x (all y (= (f x y) (f y x)))))
