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+(************************************************************************)
+(*         *   The Coq Proof Assistant / The Coq Development Team       *)
+(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
+(* <O___,, *       (see CREDITS file for the list of authors)           *)
+(*   \VV/  **************************************************************)
+(*    //   *    This file is distributed under the terms of the         *)
+(*         *     GNU Lesser General Public License Version 2.1          *)
+(*         *     (see LICENSE file for the text of the license)         *)
+(************************************************************************)
+
+(* (c) Copyright 2006-2016 Microsoft Corporation and Inria.                  *)
+
+Require Import ssreflect.
+Require Import ssrbool.
+Require Import TestSuite.ssr_mini_mathcomp.
+
+Variable T : Type.
+Variables P : T -> Prop.
+
+Definition f := fun x y : T => x.
+
+Lemma test1 : forall x y : T, P (f x y) -> P x.
+Proof.
+move=> x y; set fxy := f x y; move=> Pfxy.
+wlog H : @fxy Pfxy / P x.
+  match goal with |- (let fxy0 := f x y in P fxy0 -> P x -> P x) -> P x => by auto | _ => fail end.
+exact: H.
+Qed.
+
+Lemma test2 : forall x y : T, P (f x y) -> P x.
+Proof.
+move=> x y; set fxy := f x y; move=> Pfxy.
+wlog H : fxy Pfxy / P x.
+  match goal with |- (forall fxy, P fxy -> P x -> P x) -> P x => by auto | _ => fail end.
+exact: H.
+Qed.
+
+Lemma test3 : forall x y : T, P (f x y) -> P x.
+Proof.
+move=> x y; set fxy := f x y; move=> Pfxy.
+move: {1}@fxy (Pfxy) (Pfxy).
+match goal with |- (let fxy0 := f x y in P fxy0 -> P fxy -> P x) => by auto | _ => fail end.
+Qed.
+
+Lemma test4 : forall n m z: bool, n = z -> let x := n in x = m && n -> x = m && n.
+move=> n m z E x H.
+case: true.
+  by rewrite {1 2}E in (x) H |- *.
+by rewrite {1}E in x H |- *.
+Qed.