fact: Axiom thm_DIV_ADD_EQ_EQ : forall n : nat, forall x : nat, forall y : nat, ((Nat.div (Nat.add x y) n) = (Nat.add (Nat.div x n) (Nat.div y n))) = ((n = (NUMERAL 0)) \/ (Peano.lt (Nat.add (Nat.modulo x n) (Nat.modulo y n)) n)).
imports: coq theory_hol types terms axioms