diff options
| author |  Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
| commit | 5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch) | |
| tree | 631ad791a7685edafeb1fb2e8faeedc8379318ae /theories/ZArith/auxiliary.v | |
| parent | da178a880e3ace820b41d38b191d3785b82991f5 (diff) | |
Imported Upstream snapshot 8.3~beta0+13298
Diffstat (limited to 'theories/ZArith/auxiliary.v')
| -rw-r--r-- | theories/ZArith/auxiliary.v | 9 |
1 files changed, 5 insertions, 4 deletions
diff --git a/theories/ZArith/auxiliary.v b/theories/ZArith/auxiliary.v index ffc3e70f..7af99ece 100644 --- a/theories/ZArith/auxiliary.v +++ b/theories/ZArith/auxiliary.v @@ -1,3 +1,4 @@ +(* -*- coding: utf-8 -*- *) (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) @@ -6,9 +7,9 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: auxiliary.v 11739 2009-01-02 19:33:19Z herbelin $ i*) +(*i $Id$ i*) -(** Binary Integers (Pierre Crégut, CNET, Lannion, France) *) +(** Binary Integers (Pierre Crégut, CNET, Lannion, France) *) Require Export Arith_base. Require Import BinInt. @@ -25,7 +26,7 @@ Open Local Scope Z_scope. Theorem Zne_left : forall n m:Z, Zne n m -> Zne (n + - m) 0. Proof. intros x y; unfold Zne in |- *; unfold not in |- *; intros H1 H2; apply H1; - apply Zplus_reg_l with (- y); rewrite Zplus_opp_l; + apply Zplus_reg_l with (- y); rewrite Zplus_opp_l; rewrite Zplus_comm; trivial with arith. Qed. @@ -97,7 +98,7 @@ Proof. intros x y z H1 H2 H3; apply Zle_trans with (m := y * x); [ apply Zmult_gt_0_le_0_compat; assumption | pattern (y * x) at 1 in |- *; rewrite <- Zplus_0_r; - apply Zplus_le_compat_l; apply Zlt_le_weak; apply Zgt_lt; + apply Zplus_le_compat_l; apply Zlt_le_weak; apply Zgt_lt; assumption ]. Qed. |