File: wlog_suff.v

package info (click to toggle)
coq-doc 8.20.0-2
  • links: PTS, VCS
  • area: non-free
  • in suites: forky, sid, trixie
  • size: 46,708 kB
  • sloc: ml: 234,429; sh: 4,686; python: 3,359; ansic: 2,644; makefile: 842; lisp: 172; javascript: 87; xml: 24; sed: 2
file content (28 lines) | stat: -rw-r--r-- 1,059 bytes parent folder | download | duplicates (5)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq 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.
Require Import ssrbool.

Lemma test b : b || ~~b.
wlog _ : b / b = true.
  case: b; [ by apply | by rewrite orbC ].
wlog suff: b /  b || ~~b.
  by case: b.
by case: b.
Qed.

Lemma test2 b c (H : c = b) : b || ~~b.
wlog _ : b {c H} / b = true.
  by case: b H.
by case: b.
Qed.