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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/Partial_Order.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
Diffstat (limited to 'theories/Sets/Partial_Order.v')
-rw-r--r--theories/Sets/Partial_Order.v12
1 files changed, 6 insertions, 6 deletions
diff --git a/theories/Sets/Partial_Order.v b/theories/Sets/Partial_Order.v
index 8589f387e..4fe8f4f6a 100644
--- a/theories/Sets/Partial_Order.v
+++ b/theories/Sets/Partial_Order.v
@@ -31,20 +31,20 @@ Require Export Relations_1.
Section Partial_orders.
Variable U : Type.
-
+
Definition Carrier := Ensemble U.
-
+
Definition Rel := Relation U.
-
+
Record PO : Type := Definition_of_PO
{ Carrier_of : Ensemble U;
Rel_of : Relation U;
PO_cond1 : Inhabited U Carrier_of;
PO_cond2 : Order U Rel_of }.
Variable p : PO.
-
+
Definition Strict_Rel_of : Rel := fun x y:U => Rel_of p x y /\ x <> y.
-
+
Inductive covers (y x:U) : Prop :=
Definition_of_covers :
Strict_Rel_of x y ->
@@ -60,7 +60,7 @@ Hint Resolve Definition_of_covers: sets v62.
Section Partial_order_facts.
Variable U : Type.
Variable D : PO U.
-
+
Lemma Strict_Rel_Transitive_with_Rel :
forall x y z:U,
Strict_Rel_of U D x y -> Rel_of U D y z -> Strict_Rel_of U D x z.