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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)         *)
+(************************************************************************)
+
+Require Import ssreflect ssrbool.
+
+Set Implicit Arguments.
+
+  Inductive wf T : bool -> option T -> Type :=
+  | wf_f : wf false None
+  | wf_t : forall x, wf true (Some x).
+
+  Derive Inversion wf_inv with (forall T b (o : option T), wf b o) Sort Prop.
+
+  Lemma Problem T b (o : option T) :
+    wf b o ->
+    match b with
+    | true  => exists x, o = Some x
+    | false => o = None
+    end.
+  Proof.
+  by case: b; elim/wf_inv=> //; case: o=> // a *; exists a.
+  Qed.