diff options
Diffstat (limited to 'theories/ZArith/Zmin.v')
| -rw-r--r-- | theories/ZArith/Zmin.v | 48 |
1 files changed, 25 insertions, 23 deletions
diff --git a/theories/ZArith/Zmin.v b/theories/ZArith/Zmin.v index 782a5158..6bc72227 100644 --- a/theories/ZArith/Zmin.v +++ b/theories/ZArith/Zmin.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (** THIS FILE IS DEPRECATED. *) @@ -16,24 +18,24 @@ Local Open Scope Z_scope. (** Exact compatibility *) -Notation Zmin_case := Z.min_case (compat "8.3"). -Notation Zmin_case_strong := Z.min_case_strong (compat "8.3"). -Notation Zle_min_l := Z.le_min_l (compat "8.3"). -Notation Zle_min_r := Z.le_min_r (compat "8.3"). -Notation Zmin_glb := Z.min_glb (compat "8.3"). -Notation Zmin_glb_lt := Z.min_glb_lt (compat "8.3"). -Notation Zle_min_compat_r := Z.min_le_compat_r (compat "8.3"). -Notation Zle_min_compat_l := Z.min_le_compat_l (compat "8.3"). -Notation Zmin_idempotent := Z.min_id (compat "8.3"). -Notation Zmin_n_n := Z.min_id (compat "8.3"). -Notation Zmin_comm := Z.min_comm (compat "8.3"). -Notation Zmin_assoc := Z.min_assoc (compat "8.3"). -Notation Zmin_irreducible_inf := Z.min_dec (compat "8.3"). -Notation Zsucc_min_distr := Z.succ_min_distr (compat "8.3"). -Notation Zmin_SS := Z.succ_min_distr (compat "8.3"). -Notation Zplus_min_distr_r := Z.add_min_distr_r (compat "8.3"). -Notation Zmin_plus := Z.add_min_distr_r (compat "8.3"). -Notation Zpos_min := Pos2Z.inj_min (compat "8.3"). +Notation Zmin_case := Z.min_case (compat "8.6"). +Notation Zmin_case_strong := Z.min_case_strong (compat "8.6"). +Notation Zle_min_l := Z.le_min_l (compat "8.6"). +Notation Zle_min_r := Z.le_min_r (compat "8.6"). +Notation Zmin_glb := Z.min_glb (compat "8.6"). +Notation Zmin_glb_lt := Z.min_glb_lt (compat "8.6"). +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_comm := Z.min_comm (compat "8.6"). +Notation Zmin_assoc := Z.min_assoc (compat "8.6"). +Notation Zmin_irreducible_inf := Z.min_dec (only parsing). +Notation Zsucc_min_distr := Z.succ_min_distr (compat "8.6"). +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). (** Slightly different lemmas *) @@ -46,7 +48,7 @@ Qed. Lemma Zmin_irreducible n m : Z.min n m = n \/ Z.min n m = m. Proof. destruct (Z.min_dec n m); auto. Qed. -Notation Zmin_or := Zmin_irreducible (compat "8.3"). +Notation Zmin_or := Zmin_irreducible (only parsing). Lemma Zmin_le_prime_inf n m p : Z.min n m <= p -> {n <= p} + {m <= p}. Proof. apply Z.min_case; auto. Qed. |