blob: cafa849b1b2c72482b574c1d2fda4c5156bc940b (
plain)
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
29
30
31
32
33
|
(************************************************************************)
(* * 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) *)
(************************************************************************)
(** Author: Bruno Barras *)
Require Import Relation_Definitions.
Section WfInclusion.
Variable A : Type.
Variables R1 R2 : A -> A -> Prop.
Lemma Acc_incl : inclusion A R1 R2 -> forall z:A, Acc R2 z -> Acc R1 z.
Proof.
induction 2.
apply Acc_intro; auto with sets.
Qed.
#[local]
Hint Resolve Acc_incl : core.
Theorem wf_incl : inclusion A R1 R2 -> well_founded R2 -> well_founded R1.
Proof.
unfold well_founded; auto with sets.
Qed.
End WfInclusion.
|
