PrA08Ind
Premises:
(forall ?X (= (+ ?X 0) ?X)) (forall (?X ?Y) (= (+ ?X (succ ?Y)) (succ (+ ?X ?Y)))) (forall (?Y ?X) (= (+ (succ ?X) ?Y) (succ (+ ?X ?Y)))) (forall ?X (= (succ ?X) (+ (succ ?X) 0))) (forall (?X ?Y) (=> (= ?X ?Y) (= (succ ?X) (succ ?Y)))) (forall ?X (= (+ 0 ?X) ?X))
Conclusion:
(forall (?X ?Y) (=> (= (succ ?X) ?Y) (= ?Y (+ ?X (succ 0)))))