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+(* *************************************************************)
+(* *)
+(* The Compcert verified compiler *)
+(* *)
+(* Sylvain Boulmé Grenoble-INP, VERIMAG *)
+(* Xavier Leroy INRIA Paris-Rocquencourt *)
+(* David Monniaux CNRS, VERIMAG *)
+(* Cyril Six Kalray *)
+(* *)
+(* Copyright Kalray. Copyright VERIMAG. All rights reserved. *)
+(* This file is distributed under the terms of the INRIA *)
+(* Non-Commercial License Agreement. *)
+(* *)
+(* *************************************************************)
+
+Set Implicit Arguments.
+
+Theorem and_dec : forall A B C D : Prop,
+ { A } + { B } -> { C } + { D } ->
+ { A /\ C } + { (B /\ C) \/ (B /\ D) \/ (A /\ D) }.
+Proof.
+ intros A B C D AB CD.
+ destruct AB; destruct CD.
+ - left. tauto.
+ - right. tauto.
+ - right. tauto.
+ - right. tauto.
+Qed.
+
+