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authorGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2006-04-25 22:39:38 +0000
committerGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2006-04-25 22:39:38 +0000
commit0274e797162cd62fe9145436a66027a61d727d64 (patch)
tree5299d7691fe5e585366b8ea2bf1d2e0cb806714d /theories/FSets/FSetProperties.v
parentabbd91d804a4baea4b16ad9a00485f3743d2340f (diff)
un lemme de double inclusion
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8732 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/FSets/FSetProperties.v')
-rw-r--r--theories/FSets/FSetProperties.v5
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diff --git a/theories/FSets/FSetProperties.v b/theories/FSets/FSetProperties.v
index 4aeda775c..4d8a78a14 100644
--- a/theories/FSets/FSetProperties.v
+++ b/theories/FSets/FSetProperties.v
@@ -154,6 +154,11 @@ Module Properties (M: S).
Proof.
unfold Subset; intuition.
Qed.
+
+ Lemma double_inclusion : s1[=]s2 <-> s1[<=]s2 /\ s2[<=]s1.
+ Proof.
+ unfold Subset, Equal; split; intros; intuition; generalize (H a); intuition.
+ Qed.
(** properties of [empty] *)