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authorGravatar Enrico Tassi <Enrico.Tassi@inria.fr>2018-04-12 10:08:05 +0200
committerGravatar Enrico Tassi <Enrico.Tassi@inria.fr>2018-05-15 09:58:47 +0200
commit15059d887c3059e6d925310be860dd2a3cf97796 (patch)
treee0c769cbad3b137e738c3e9da766f7f5f5795428 /test-suite/ssr/derive_inversion.v
parent3008ce85ed4de549816a1cac4701cb28bee4fad6 (diff)
[ssr] import ssreflect test suite from math-comp
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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.