Quelle set_pattern.v Sprache: Coq

(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \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.

Axiom daemon : False. Ltac myadmit := case: daemon.

Ltac T1 x := match goal with |- _ => set t := (x in X in _ = X) end.
Ltac T2 x := first [set t := (x in RHS)].
Ltac T3 x := first [set t := (x in Y in _ = Y)|idtac].
Ltac T4 x := set t := (x in RHS); idtac.
Ltac T5 x := match goal with |- _ => set t := (x in RHS) | |- _ => idtac end.

Require Import ssrbool TestSuite.ssr_mini_mathcomp.

Open Scope nat_scope.

Lemma foo x y : x.+1 = y + x.+1.
set t := (_.+1 in RHS). match goal with |- x.+1 = y + t => rewrite /t {t} end.
set t := (x in RHS). match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end.
set t := (x in _ = x). match goal with |- x.+1 = t => rewrite /t {t} end.
set t := (x in X in _ = X).
  match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end.
set t := (x in RHS). match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end.
set t := (y + (1 + x) as X in _ = X).
  match goal with |- x.+1 = t => rewrite /t addSn add0n {t} end.
set t := x.+1. match goal with |- t = y + t => rewrite /t {t} end.
set t := (x).+1. match goal with |- t = y + t => rewrite /t {t} end.
set t := ((x).+1 in X in _ = X).
  match goal with |- x.+1 = y + t => rewrite /t {t} end.
set t := (x.+1 in RHS). match goal with |- x.+1 = y + t => rewrite /t {t} end.
T1 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end.
T2 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end.
T3 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end.
T4 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end.
T5 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end.
rewrite [RHS]addnC.
  match goal with |- x.+1 = x.+1 + y => rewrite -[RHS]addnC end.
rewrite -[in RHS](@subnK 1 x.+1) //.
  match goal with |- x.+1 = y + (x.+1 - 1 + 1) => rewrite subnK // end.
have H : x.+1 = y by myadmit.
set t := _.+1 in H |- *.
  match goal with H : t = y |- t = y + t => rewrite /t {t} in H * end.
set t := (_.+1 in X in _ + X) in H |- *.
  match goal with H : x.+1 = y |- x.+1 = y + t => rewrite /t {t} in H * end.
set t := 0. match goal with t := 0 |- x.+1 = y + x.+1 => clear t end.
set t := y + _. match goal with |- x.+1 = t => rewrite /t {t} end.
set t : nat := 0. clear t.
set t : nat := (x in RHS).
  match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end.
set t : nat := RHS. match goal with |- x.+1 = t => rewrite /t {t} end.
(* set t := 0 + _. *)
(* set t := (x).+1 in X in _ + X in H |-. *)
(* set t := (x).+1 in X in _ = X.*)
Admitted.

quality99%

¤ Dauer der Verarbeitung: 0.4 Sekunden ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.