diff options
Diffstat (limited to 'theories/Numbers/Integer/NatPairs/ZNatPairs.v')
| -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 |