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| author |  Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
|---|---|---|
| committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
| commit | 7cfc4e5146be5666419451bdd516f1f3f264d24a (patch) | |
| tree | e4197645da03dc3c7cc84e434cc31d0a0cca7056 /theories/Setoids/Setoid.v | |
| parent | 420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff) | |
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'theories/Setoids/Setoid.v')
| -rw-r--r-- | theories/Setoids/Setoid.v | 5 |
1 files changed, 4 insertions, 1 deletions
diff --git a/theories/Setoids/Setoid.v b/theories/Setoids/Setoid.v index ccecb9a4..75cffa7f 100644 --- a/theories/Setoids/Setoid.v +++ b/theories/Setoids/Setoid.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -16,14 +16,17 @@ Definition Setoid_Theory := @Equivalence. Definition Build_Setoid_Theory := @Build_Equivalence. Definition Seq_refl A Aeq (s : Setoid_Theory A Aeq) : forall x:A, Aeq x x. +Proof. unfold Setoid_Theory in s. intros ; reflexivity. Defined. Definition Seq_sym A Aeq (s : Setoid_Theory A Aeq) : forall x y:A, Aeq x y -> Aeq y x. +Proof. unfold Setoid_Theory in s. intros ; symmetry ; assumption. Defined. Definition Seq_trans A Aeq (s : Setoid_Theory A Aeq) : forall x y z:A, Aeq x y -> Aeq y z -> Aeq x z. +Proof. unfold Setoid_Theory in s. intros ; transitivity y ; assumption. Defined. |