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-Require Import Coq.Arith.Arith Coq.Classes.Morphisms Coq.Classes.RelationClasses.
-Coercion is_true : bool >-> Sortclass.
-Global Instance: Transitive leb.
-Admitted.
-
-Goal forall x y z, leb x y -> leb y z -> True.
- intros ??? H H'.
- lazymatch goal with
- | [ H : is_true (?R ?x ?y), H' : is_true (?R ?y ?z) |- _ ]
- => pose proof (transitivity H H' : is_true (R x z))
- end.
- exact I.
-Qed. \ No newline at end of file