Module Zabs2Nat.
(** Results about [Z.abs_nat], converting absolute values of [Z] integers to [nat]. *)
(** [Z.abs_nat], basic equations *)
(** [Z.abs_nat] and usual operations, with non-negative integers *)
(** [Z.abs_nat] and usual operations, statements with [Z.abs] *)
End Zabs2Nat.
(** Compatibility *)
Definition neq (x y:nat) := x <> y.

Lemma inj_neq n m : neq n m -> Zne (Z.of_nat n) (Z.of_nat m).