diff options
Diffstat (limited to 'theories/Relations')
| -rw-r--r-- | theories/Relations/Operators_Properties.v | 26 | ||||
| -rw-r--r-- | theories/Relations/Relation_Definitions.v | 4 | ||||
| -rw-r--r-- | theories/Relations/Relation_Operators.v | 14 | ||||
| -rw-r--r-- | theories/Relations/Relations.v | 4 |
4 files changed, 21 insertions, 27 deletions
diff --git a/theories/Relations/Operators_Properties.v b/theories/Relations/Operators_Properties.v index 26c8ef59..f7f5512e 100644 --- a/theories/Relations/Operators_Properties.v +++ b/theories/Relations/Operators_Properties.v @@ -1,13 +1,11 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Operators_Properties.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (************************************************************************) (** * Some properties of the operators on relations *) (************************************************************************) @@ -19,17 +17,17 @@ Require Import Relation_Operators. Section Properties. - Implicit Arguments clos_refl_trans [A]. - Implicit Arguments clos_refl_trans_1n [A]. - Implicit Arguments clos_refl_trans_n1 [A]. - Implicit Arguments clos_refl_sym_trans [A]. - Implicit Arguments clos_refl_sym_trans_1n [A]. - Implicit Arguments clos_refl_sym_trans_n1 [A]. - Implicit Arguments clos_trans [A]. - Implicit Arguments clos_trans_1n [A]. - Implicit Arguments clos_trans_n1 [A]. - Implicit Arguments inclusion [A]. - Implicit Arguments preorder [A]. + Arguments clos_refl_trans [A] R x _. + Arguments clos_refl_trans_1n [A] R x _. + Arguments clos_refl_trans_n1 [A] R x _. + Arguments clos_refl_sym_trans [A] R _ _. + Arguments clos_refl_sym_trans_1n [A] R x _. + Arguments clos_refl_sym_trans_n1 [A] R x _. + Arguments clos_trans [A] R x _. + Arguments clos_trans_1n [A] R x _. + Arguments clos_trans_n1 [A] R x _. + Arguments inclusion [A] R1 R2. + Arguments preorder [A] R. Variable A : Type. Variable R : relation A. diff --git a/theories/Relations/Relation_Definitions.v b/theories/Relations/Relation_Definitions.v index 0d901445..a84c1310 100644 --- a/theories/Relations/Relation_Definitions.v +++ b/theories/Relations/Relation_Definitions.v @@ -1,13 +1,11 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Relation_Definitions.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - Section Relation_Definition. Variable A : Type. diff --git a/theories/Relations/Relation_Operators.v b/theories/Relations/Relation_Operators.v index 6efebc46..abf23997 100644 --- a/theories/Relations/Relation_Operators.v +++ b/theories/Relations/Relation_Operators.v @@ -1,25 +1,25 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Relation_Operators.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (************************************************************************) -(** * Bruno Barras, Cristina Cornes *) +(** * Some operators on relations *) +(************************************************************************) +(** * Initial authors: Bruno Barras, Cristina Cornes *) (** * *) -(** * Some of these definitions were taken from : *) +(** * Some of the initial definitions were taken from : *) (** * Constructing Recursion Operators in Type Theory *) (** * L. Paulson JSC (1986) 2, 325-355 *) +(** * *) +(** * Further extensions by Pierre Castéran *) (************************************************************************) Require Import Relation_Definitions. -(** * Some operators to build relations *) - (** ** Transitive closure *) Section Transitive_Closure. diff --git a/theories/Relations/Relations.v b/theories/Relations/Relations.v index 630b2822..f9fb2c44 100644 --- a/theories/Relations/Relations.v +++ b/theories/Relations/Relations.v @@ -1,13 +1,11 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Relations.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - Require Export Relation_Definitions. Require Export Relation_Operators. Require Export Operators_Properties. |