fact: Axiom thm_ADD_CLAUSES : (forall n : nat, (Nat.add (NUMERAL 0) n) = n) /\ ((forall m : nat, (Nat.add m (NUMERAL 0)) = m) /\ ((forall m : nat, forall n : nat, (Nat.add (S m) n) = (S (Nat.add m n))) /\ (forall m : nat, forall n : nat, (Nat.add m (S n)) = (S (Nat.add m n))))).
imports: coq theory_hol types terms axioms