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authorGravatar glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-09-17 15:58:14 +0000
committerGravatar glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-09-17 15:58:14 +0000
commit61ccbc81a2f3b4662ed4a2bad9d07d2003dda3a2 (patch)
tree961cc88c714aa91a0276ea9fbf8bc53b2b9d5c28 /theories/Sets/Relations_3.v
parent6d3fbdf36c6a47b49c2a4b16f498972c93c07574 (diff)
Delete trailing whitespaces in all *.{v,ml*} files
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
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diff --git a/theories/Sets/Relations_3.v b/theories/Sets/Relations_3.v
index ec8fb7e6d..970db1827 100644
--- a/theories/Sets/Relations_3.v
+++ b/theories/Sets/Relations_3.v
@@ -32,26 +32,26 @@ Require Export Relations_2.
Section Relations_3.
Variable U : Type.
Variable R : Relation U.
-
+
Definition coherent (x y:U) : Prop :=
exists z : _, Rstar U R x z /\ Rstar U R y z.
-
+
Definition locally_confluent (x:U) : Prop :=
forall y z:U, R x y -> R x z -> coherent y z.
-
+
Definition Locally_confluent : Prop := forall x:U, locally_confluent x.
-
+
Definition confluent (x:U) : Prop :=
forall y z:U, Rstar U R x y -> Rstar U R x z -> coherent y z.
-
+
Definition Confluent : Prop := forall x:U, confluent x.
-
+
Inductive noetherian (x: U) : Prop :=
definition_of_noetherian :
(forall y:U, R x y -> noetherian y) -> noetherian x.
-
+
Definition Noetherian : Prop := forall x:U, noetherian x.
-
+
End Relations_3.
Hint Unfold coherent: sets v62.
Hint Unfold locally_confluent: sets v62.