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author | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
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committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
commit | 61ccbc81a2f3b4662ed4a2bad9d07d2003dda3a2 (patch) | |
tree | 961cc88c714aa91a0276ea9fbf8bc53b2b9d5c28 /theories/Sets/Relations_3.v | |
parent | 6d3fbdf36c6a47b49c2a4b16f498972c93c07574 (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
Diffstat (limited to 'theories/Sets/Relations_3.v')
-rw-r--r-- | theories/Sets/Relations_3.v | 16 |
1 files changed, 8 insertions, 8 deletions
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. |