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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
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(* (c) Copyright 2006-2016 Microsoft Corporation and Inria.                  *)
move=> y x le_1 defx; rewrite insubT ?(leq_trans le_1) // => ?.
by congr (Some _); apply: val_inj=> /=; exact: defx.
Qed.

Axiom P : nat -> Prop.
Axiom Q : forall n, P n -> Prop.