(** * Equivalence and order properties *)
(** Reflexivity *)
#[global]
Hint Resolve Z.le_refl: zarith.
(** Antisymmetry *)
Notation Zle_antisym := Z.le_antisymm (only parsing).
(** Asymmetry *)
Notation Zlt_asym := Z.lt_asymm (only parsing).

Lemma Zgt_asym n m : n > m -> ~ m > n.
Notation Zlt_not_eq := Z.lt_neq (only parsing).