Definition Nsub := SRsub N.add.Definition Nopp := (@SRopp N).

(* Specifications: *)
Lemma Neqe : ring_eq_ext N.add N.mul Nopp (@eq N).
Lemma Nath : almost_ring_theory 0%N 1%N N.add N.mul Nsub Nopp (@eq N).
Lemma Neqb_ok : forall x y, N.eqb x y = true -> x = y.