(** Definition [Z.min] is now [BinInt.Z.min]. *)

(** Exact compatibility *)

Notation Zle_min_compat_r := Z.min_le_compat_r (only parsing).Notation Zle_min_compat_l := Z.min_le_compat_l (only parsing).Notation Zmin_idempotent := Z.min_id (only parsing).Notation Zmin_n_n := Z.min_id (only parsing).Notation Zmin_irreducible_inf := Z.min_dec (only parsing).Notation Zmin_SS := Z.succ_min_distr (only parsing).Notation Zplus_min_distr_r := Z.add_min_distr_r (only parsing).Notation Zmin_plus := Z.add_min_distr_r (only parsing).Notation Zpos_min := Pos2Z.inj_min (only parsing).

(* Specifications: *)
Lemma Zmin_spec x y : x <= y /\ Z.min x y = x \/ x > y /\ Z.min x y = y.
Lemma Zmin_irreducible n m : Z.min n m = n \/ Z.min n m = m.