Some cleanup of Zdiv and Zquot, deletion of useless Zdiv_def

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14244 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 0 insertions, 37 deletions

diff --git a/theories/ZArith/Zdiv_def.v b/theories/ZArith/Zdiv_def.v
deleted file mode 100644
index 0f375e144..000000000
--- a/theories/ZArith/Zdiv_def.v
+++ /dev/null
@@ -1,37 +0,0 @@
-(************************************************************************)
-(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
-(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010     *)
-(*   \VV/  **************************************************************)
-(*    //   *      This file is distributed under the terms of the       *)
-(*         *       GNU Lesser General Public License Version 2.1        *)
-(************************************************************************)
-
-Require Import BinPos BinNat BinInt Zbool Zcompare Zorder Zabs Znat.
-Local Open Scope Z_scope.
-
-Notation Zdiv_eucl_POS := Z.pos_div_eucl (only parsing).
-Notation Zdiv_eucl := Z.div_eucl (only parsing).
-Notation Zdiv := Z.div (only parsing).
-Notation Zmod := Z.modulo (only parsing).
-Notation Zquotrem := Z.quotrem (only parsing).
-Notation Zquot := Z.quot (only parsing).
-Notation Zrem := Z.rem (only parsing).
-
-Lemma Zdiv_eucl_POS_eq : forall a b, 0 < b ->
-  let (q, r) := Zdiv_eucl_POS a b in Zpos a = b * q + r.
-Proof.
- intros a b Hb. generalize (Z.pos_div_eucl_eq a b Hb).
- destruct Z.pos_div_eucl. now rewrite Z.mul_comm.
-Qed.
-
-Notation Zdiv_eucl_eq := Z.div_eucl_eq (only parsing).
-Notation Z_div_mod_eq_full := Z.div_mod (only parsing).
-Notation Zmod_POS_bound := Z.pos_div_eucl_bound (only parsing).
-Notation Zmod_pos_bound := Z.mod_pos_bound (only parsing).
-Notation Zmod_neg_bound := Z.mod_neg_bound (only parsing).
-
-Notation Zquotrem_eq := Z.quotrem_eq (only parsing).
-Notation Z_quot_rem_eq := Z.quot_rem' (only parsing).
-Notation Zrem_bound := Z.rem_bound_pos (only parsing).
-Notation Zrem_opp_l := Z.rem_opp_l' (only parsing).
-Notation Zrem_opp_r := Z.rem_opp_r' (only parsing).