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Diffstat (limited to 'theories7/Wellfounded/Inclusion.v')
| -rw-r--r-- | theories7/Wellfounded/Inclusion.v | 33 |
1 files changed, 0 insertions, 33 deletions
diff --git a/theories7/Wellfounded/Inclusion.v b/theories7/Wellfounded/Inclusion.v deleted file mode 100644 index 6a515333..00000000 --- a/theories7/Wellfounded/Inclusion.v +++ /dev/null @@ -1,33 +0,0 @@ -(************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) -(* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) -(************************************************************************) - -(*i $Id: Inclusion.v,v 1.1.2.1 2004/07/16 19:31:41 herbelin Exp $ i*) - -(** Author: Bruno Barras *) - -Require Relation_Definitions. - -Section WfInclusion. - Variable A:Set. - Variable R1,R2:A->A->Prop. - - Lemma Acc_incl: (inclusion A R1 R2)->(z:A)(Acc A R2 z)->(Acc A R1 z). - Proof. - NewInduction 2. - Apply Acc_intro;Auto with sets. - Qed. - - Hints Resolve Acc_incl. - - Theorem wf_incl: - (inclusion A R1 R2)->(well_founded A R2)->(well_founded A R1). - Proof. - Unfold well_founded ;Auto with sets. - Qed. - -End WfInclusion. |