;; IVY operation: PROVE
;;
;; The group theory commutator problem: xxx=e => [[x,y],y]=e

(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 (all y (= (h x y) (f x (f y (f (g x) (g y)))))))
	  (all x (= (f x (f x x)) (e)))
	  (all x (= x x)))

     (all x (all y (= (h (h x y) y) (e)))))
