diff options
| author |  Stephane Glondu <steph@glondu.net> | 2009-02-01 00:54:40 +0100 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2009-02-01 00:54:40 +0100 |
| commit | cfbfe13f5b515ae2e3c6cdd97e2ccee03bc26e56 (patch) | |
| tree | b7832bd5d412a5a5d69cb36ae2ded62c71124c22 /theories/Numbers/Integer/NatPairs | |
| parent | 113b703a695acbe31ac6dd6a8c4aa94f6fda7545 (diff) | |
Imported Upstream version 8.2~rc2+dfsgupstream/8.2.rc2+dfsg
Diffstat (limited to 'theories/Numbers/Integer/NatPairs')
| -rw-r--r-- | theories/Numbers/Integer/NatPairs/ZNatPairs.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Numbers/Integer/NatPairs/ZNatPairs.v b/theories/Numbers/Integer/NatPairs/ZNatPairs.v index 8b3d815d..9427b37b 100644 --- a/theories/Numbers/Integer/NatPairs/ZNatPairs.v +++ b/theories/Numbers/Integer/NatPairs/ZNatPairs.v @@ -8,7 +8,7 @@ (* Evgeny Makarov, INRIA, 2007 *) (************************************************************************) -(*i $Id: ZNatPairs.v 11040 2008-06-03 00:04:16Z letouzey $ i*) +(*i $Id: ZNatPairs.v 11674 2008-12-12 19:48:40Z letouzey $ i*) Require Import NSub. (* The most complete file for natural numbers *) Require Export ZMulOrder. (* The most complete file for integers *) @@ -110,7 +110,7 @@ Proof. unfold reflexive, Zeq. reflexivity. Qed. -Theorem ZE_symm : symmetric Z Zeq. +Theorem ZE_sym : symmetric Z Zeq. Proof. unfold symmetric, Zeq; now symmetry. Qed. @@ -127,7 +127,7 @@ Qed. Theorem NZeq_equiv : equiv Z Zeq. Proof. -unfold equiv; repeat split; [apply ZE_refl | apply ZE_trans | apply ZE_symm]. +unfold equiv; repeat split; [apply ZE_refl | apply ZE_trans | apply ZE_sym]. Qed. Add Relation Z Zeq |