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-rw-r--r--theories/FSets/FSetProperties.v5
1 files changed, 5 insertions, 0 deletions
diff --git a/theories/FSets/FSetProperties.v b/theories/FSets/FSetProperties.v
index 4aeda775c7..4d8a78a14b 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] *)