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-rw-r--r--theories/Lists/List.v4
1 files changed, 4 insertions, 0 deletions
diff --git a/theories/Lists/List.v b/theories/Lists/List.v
index e4b87507f4..bdaaa91828 100644
--- a/theories/Lists/List.v
+++ b/theories/Lists/List.v
@@ -2968,6 +2968,10 @@ Section Exists_Forall.
now apply neg_Forall_Exists_neg.
Defined.
+ Lemma incl_Forall_in_iff l l' :
+ incl l l' <-> Forall (fun x => In x l') l.
+ Proof. now rewrite Forall_forall; split. Qed.
+
End Exists_Forall.
Hint Constructors Exists : core.