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+Require Export Coq.Classes.RelationClasses.
+
+Section defs.
+ Variable A : Type.
+ Variable lt : A -> A -> Prop.
+ Context {ltso : StrictOrder lt}.
+
+ Goal forall (a : A), lt a a -> False.
+ Proof.
+ intros a H.
+ contradict (irreflexivity H).
+ Qed.
+End defs.