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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 TestSuite.ssr_mini_mathcomp.
+
+Lemma test1 : forall a b : nat, a == b -> a == 0 -> b == 0.
+Proof. move=> a b Eab Eac; congr (_ == 0) : Eac; exact: eqP Eab. Qed.
+
+Definition arrow A B := A -> B.
+
+Lemma test2 : forall a b : nat, a == b -> arrow (a == 0) (b == 0).
+Proof. move=> a b Eab; congr (_ == 0); exact: eqP Eab. Qed.
+
+Definition equals T (A B : T) := A = B.
+
+Lemma test3 : forall a b : nat, a = b -> equals nat (a + b) (b + b).
+Proof. move=> a b E; congr (_ + _); exact E. Qed.
+
+Variable S : eqType.
+Variable f : nat -> S.
+Coercion f : nat >-> Equality.sort.
+
+Lemma test4 : forall a b : nat, b = a -> @eq S (b + b) (a + a).
+Proof. move=> a b Eba; congr (_ + _); exact: Eba. Qed.