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| author |  letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2006-05-11 09:38:28 +0000 |
|---|---|---|
| committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2006-05-11 09:38:28 +0000 |
| commit | fc5dcb9e0dac748bfb40a1523d0811490158cada (patch) | |
| tree | 5cb47cb090fdc27b74419ec2a480a97b8ec105d8 /theories/FSets/FSetEqProperties.v | |
| parent | 0fb3feddf3e70b4b492129eec68837a5c84bf50c (diff) | |
Duplication du fichier FSetProperties pour les ensembles Weak.
Du coup, factorisation d'une partie dans SetoidList. Ajout de
lemmes suggeres par Evelyne C. Un oubli dans FSetWeakInterface
concernant elements.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8804 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/FSets/FSetEqProperties.v')
| -rw-r--r-- | theories/FSets/FSetEqProperties.v | 5 |
1 files changed, 5 insertions, 0 deletions
diff --git a/theories/FSets/FSetEqProperties.v b/theories/FSets/FSetEqProperties.v index b27e08240..a0414cd34 100644 --- a/theories/FSets/FSetEqProperties.v +++ b/theories/FSets/FSetEqProperties.v @@ -704,6 +704,11 @@ assert (f a || g a = true <-> f a = true \/ g a = true). tauto. Qed. +Lemma filter_union: forall s s', filter f (union s s') [=] union (filter f s) (filter f s'). +Proof. +unfold Equal; intros; set_iff; repeat rewrite filter_iff; auto; set_iff; tauto. +Qed. + (** Properties of [for_all] *) Lemma for_all_mem_1: forall s, |