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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
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(*         *     GNU Lesser General Public License Version 2.1          *)
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(* (c) Copyright 2006-2016 Microsoft Corporation and Inria.                  *)
Variable T : Type.
Variables P : T -> Prop.
Definition f := fun x y : T => x.

Lemma test2 : forall x y : T, P (f x y) -> P x.