PA_JH02
Premises:
(forall ?X (not (= 0 (1+ ?X)))) (forall (?X ?Y) (=> (not (= ?X ?Y)) (not (= (1+ ?X) (1+ ?Y))))) (forall ?X (= (+ ?X 0) ?X)) (forall (?X ?Y) (= (+ ?X (1+ ?Y)) (1+ (+ ?X ?Y)))) (forall ?X (= (* ?X 0) 0)) (forall (?X ?Y) (= (* ?X (1+ ?Y)) (+ (* ?X ?Y) ?X)))
Conclusion:
(exists ?X (= (* (1+ 0) (1+ ?X)) (1+ ?X))) (forall ?X (= (* (1+ 0) (1+ ?X)) (1+ ?X)))
Proof Trace