← Back to branch summary

~ubuntu-branches/ubuntu/wily/coq-doc/wily

« back to all changes in this revision

Viewing changes to theories/Wellfounded/Inclusion.v

  • Committer: Bazaar Package Importer
  • Author(s): Stéphane Glondu, Stéphane Glondu, Samuel Mimram
  • Date: 2010-01-07 22:50:39 UTC
  • mfrom: (1.2.2 upstream)
  • Revision ID: james.westby@ubuntu.com-20100107225039-n3cq82589u0qt0s2
Tags: 8.2pl1-1
http://bugs.debian.org/563669
http://bugs.debian.org/543545
[ Stéphane Glondu ]
* New upstream release (Closes: #563669)
  - remove patches
* Packaging overhaul:
  - use git, advertise it in Vcs-* fields of debian/control
  - use debhelper 7 and dh with override
  - use source format 3.0 (quilt)
* debian/control:
  - set Maintainer to d-o-m, set Uploaders to Sam and myself
  - add Homepage field
  - bump Standards-Version to 3.8.3
* Register PDF documentation into doc-base
* Add debian/watch
* Update debian/copyright

[ Samuel Mimram ]
* Change coq-doc's description to mention that it provides documentation in
  pdf format, not postscript, closes: #543545.

Show diffs side-by-side

added added

removed removed

Lines of Context:
theories/Wellfounded/Inclusion.v
 
1
(************************************************************************)
 
2
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
 
3
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
 
4
(*   \VV/  **************************************************************)
 
5
(*    //   *      This file is distributed under the terms of the       *)
 
6
(*         *       GNU Lesser General Public License Version 2.1        *)
 
7
(************************************************************************)
 
8
 
 
9
(*i $Id: Inclusion.v 9642 2007-02-12 10:31:53Z herbelin $ i*)
 
10
 
 
11
(** Author: Bruno Barras *)
 
12
 
 
13
Require Import Relation_Definitions.
 
14
 
 
15
Section WfInclusion.
 
16
  Variable A : Type.
 
17
  Variables R1 R2 : A -> A -> Prop.
 
18
 
 
19
  Lemma Acc_incl : inclusion A R1 R2 -> forall z:A, Acc R2 z -> Acc R1 z.
 
20
  Proof.
 
21
    induction 2.
 
22
    apply Acc_intro; auto with sets.
 
23
  Qed.
 
24
  
 
25
  Hint Resolve Acc_incl.
 
26
 
 
27
  Theorem wf_incl : inclusion A R1 R2 -> well_founded R2 -> well_founded R1.
 
28
  Proof.
 
29
    unfold well_founded in |- *; auto with sets.
 
30
  Qed.
 
31
 
 
32
End WfInclusion.