diff options
author | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
---|---|---|
committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
commit | 7cfc4e5146be5666419451bdd516f1f3f264d24a (patch) | |
tree | e4197645da03dc3c7cc84e434cc31d0a0cca7056 /theories/Sets | |
parent | 420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff) |
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'theories/Sets')
-rw-r--r-- | theories/Sets/Classical_sets.v | 4 | ||||
-rw-r--r-- | theories/Sets/Constructive_sets.v | 2 | ||||
-rw-r--r-- | theories/Sets/Cpo.v | 8 | ||||
-rw-r--r-- | theories/Sets/Ensembles.v | 2 | ||||
-rw-r--r-- | theories/Sets/Finite_sets.v | 2 | ||||
-rw-r--r-- | theories/Sets/Finite_sets_facts.v | 4 | ||||
-rw-r--r-- | theories/Sets/Image.v | 4 | ||||
-rw-r--r-- | theories/Sets/Infinite_sets.v | 4 | ||||
-rw-r--r-- | theories/Sets/Integers.v | 4 | ||||
-rw-r--r-- | theories/Sets/Multiset.v | 2 | ||||
-rw-r--r-- | theories/Sets/Partial_Order.v | 6 | ||||
-rw-r--r-- | theories/Sets/Permut.v | 2 | ||||
-rw-r--r-- | theories/Sets/Powerset.v | 2 | ||||
-rw-r--r-- | theories/Sets/Powerset_Classical_facts.v | 4 | ||||
-rw-r--r-- | theories/Sets/Powerset_facts.v | 2 | ||||
-rw-r--r-- | theories/Sets/Relations_1.v | 2 | ||||
-rw-r--r-- | theories/Sets/Relations_1_facts.v | 2 | ||||
-rw-r--r-- | theories/Sets/Relations_2.v | 2 | ||||
-rw-r--r-- | theories/Sets/Relations_2_facts.v | 2 | ||||
-rw-r--r-- | theories/Sets/Relations_3.v | 2 | ||||
-rw-r--r-- | theories/Sets/Relations_3_facts.v | 2 | ||||
-rw-r--r-- | theories/Sets/Uniset.v | 2 |
22 files changed, 33 insertions, 33 deletions
diff --git a/theories/Sets/Classical_sets.v b/theories/Sets/Classical_sets.v index 44af113e..aa2c144b 100644 --- a/theories/Sets/Classical_sets.v +++ b/theories/Sets/Classical_sets.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -26,7 +26,7 @@ Require Export Ensembles. Require Export Constructive_sets. -Require Export Classical_Type. +Require Export Classical. Section Ensembles_classical. Variable U : Type. diff --git a/theories/Sets/Constructive_sets.v b/theories/Sets/Constructive_sets.v index 49f0ead1..193bec78 100644 --- a/theories/Sets/Constructive_sets.v +++ b/theories/Sets/Constructive_sets.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Cpo.v b/theories/Sets/Cpo.v index bfd0cf5a..f2fac097 100644 --- a/theories/Sets/Cpo.v +++ b/theories/Sets/Cpo.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -32,9 +32,9 @@ Section Bounds. Variable U : Type. Variable D : PO U. - Let C := Carrier_of U D. + Let C := @Carrier_of U D. - Let R := Rel_of U D. + Let R := @Rel_of U D. Inductive Upper_Bound (B:Ensemble U) (x:U) : Prop := Upper_Bound_definition : @@ -103,6 +103,6 @@ Section Specific_orders. Record Chain : Type := Definition_of_chain {PO_of_chain : PO U; - Chain_cond : Totally_ordered U PO_of_chain (Carrier_of U PO_of_chain)}. + Chain_cond : Totally_ordered U PO_of_chain (@Carrier_of _ PO_of_chain)}. End Specific_orders. diff --git a/theories/Sets/Ensembles.v b/theories/Sets/Ensembles.v index 4730d029..c0cddbe1 100644 --- a/theories/Sets/Ensembles.v +++ b/theories/Sets/Ensembles.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Finite_sets.v b/theories/Sets/Finite_sets.v index 34775862..22cb3dae 100644 --- a/theories/Sets/Finite_sets.v +++ b/theories/Sets/Finite_sets.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Finite_sets_facts.v b/theories/Sets/Finite_sets_facts.v index c0305e91..b1c12c7f 100644 --- a/theories/Sets/Finite_sets_facts.v +++ b/theories/Sets/Finite_sets_facts.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -26,7 +26,7 @@ Require Export Finite_sets. Require Export Constructive_sets. -Require Export Classical_Type. +Require Export Classical. Require Export Classical_sets. Require Export Powerset. Require Export Powerset_facts. diff --git a/theories/Sets/Image.v b/theories/Sets/Image.v index b5ca19a8..6cf4d250 100644 --- a/theories/Sets/Image.v +++ b/theories/Sets/Image.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -26,7 +26,7 @@ Require Export Finite_sets. Require Export Constructive_sets. -Require Export Classical_Type. +Require Export Classical. Require Export Classical_sets. Require Export Powerset. Require Export Powerset_facts. diff --git a/theories/Sets/Infinite_sets.v b/theories/Sets/Infinite_sets.v index 3b7b129e..5860f960 100644 --- a/theories/Sets/Infinite_sets.v +++ b/theories/Sets/Infinite_sets.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -26,7 +26,7 @@ Require Export Finite_sets. Require Export Constructive_sets. -Require Export Classical_Type. +Require Export Classical. Require Export Classical_sets. Require Export Powerset. Require Export Powerset_facts. diff --git a/theories/Sets/Integers.v b/theories/Sets/Integers.v index 1e6430e4..944e0dd1 100644 --- a/theories/Sets/Integers.v +++ b/theories/Sets/Integers.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -26,7 +26,7 @@ Require Export Finite_sets. Require Export Constructive_sets. -Require Export Classical_Type. +Require Export Classical. Require Export Classical_sets. Require Export Powerset. Require Export Powerset_facts. diff --git a/theories/Sets/Multiset.v b/theories/Sets/Multiset.v index f6ebe42f..46dbe994 100644 --- a/theories/Sets/Multiset.v +++ b/theories/Sets/Multiset.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Partial_Order.v b/theories/Sets/Partial_Order.v index 909cd69b..35d5f91a 100644 --- a/theories/Sets/Partial_Order.v +++ b/theories/Sets/Partial_Order.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -61,7 +61,7 @@ Section Partial_order_facts. Lemma Strict_Rel_Transitive_with_Rel : forall x y z:U, - Strict_Rel_of U D x y -> Rel_of U D y z -> Strict_Rel_of U D x z. + Strict_Rel_of U D x y -> @Rel_of U D y z -> Strict_Rel_of U D x z. Proof. unfold Strict_Rel_of at 1. red. @@ -77,7 +77,7 @@ Section Partial_order_facts. Lemma Strict_Rel_Transitive_with_Rel_left : forall x y z:U, - Rel_of U D x y -> Strict_Rel_of U D y z -> Strict_Rel_of U D x z. + @Rel_of U D x y -> Strict_Rel_of U D y z -> Strict_Rel_of U D x z. Proof. unfold Strict_Rel_of at 1. red. diff --git a/theories/Sets/Permut.v b/theories/Sets/Permut.v index 93d96ef3..c9c1e5b7 100644 --- a/theories/Sets/Permut.v +++ b/theories/Sets/Permut.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Powerset.v b/theories/Sets/Powerset.v index b761c972..587d48ab 100644 --- a/theories/Sets/Powerset.v +++ b/theories/Sets/Powerset.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Powerset_Classical_facts.v b/theories/Sets/Powerset_Classical_facts.v index 1071f2ce..40fd5e67 100644 --- a/theories/Sets/Powerset_Classical_facts.v +++ b/theories/Sets/Powerset_Classical_facts.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -32,7 +32,7 @@ Require Export Partial_Order. Require Export Cpo. Require Export Powerset. Require Export Powerset_facts. -Require Export Classical_Type. +Require Export Classical. Require Export Classical_sets. Section Sets_as_an_algebra. diff --git a/theories/Sets/Powerset_facts.v b/theories/Sets/Powerset_facts.v index 4cbb1d7c..e9347ce3 100644 --- a/theories/Sets/Powerset_facts.v +++ b/theories/Sets/Powerset_facts.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Relations_1.v b/theories/Sets/Relations_1.v index 8effeb95..c9148e00 100644 --- a/theories/Sets/Relations_1.v +++ b/theories/Sets/Relations_1.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Relations_1_facts.v b/theories/Sets/Relations_1_facts.v index ce6df104..f650a50c 100644 --- a/theories/Sets/Relations_1_facts.v +++ b/theories/Sets/Relations_1_facts.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Relations_2.v b/theories/Sets/Relations_2.v index 7ff57572..ea48fd91 100644 --- a/theories/Sets/Relations_2.v +++ b/theories/Sets/Relations_2.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Relations_2_facts.v b/theories/Sets/Relations_2_facts.v index 460255ab..e0543501 100644 --- a/theories/Sets/Relations_2_facts.v +++ b/theories/Sets/Relations_2_facts.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Relations_3.v b/theories/Sets/Relations_3.v index 2f6ef730..de6770ee 100644 --- a/theories/Sets/Relations_3.v +++ b/theories/Sets/Relations_3.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Relations_3_facts.v b/theories/Sets/Relations_3_facts.v index 8111afd9..0180c7d4 100644 --- a/theories/Sets/Relations_3_facts.v +++ b/theories/Sets/Relations_3_facts.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Sets/Uniset.v b/theories/Sets/Uniset.v index ce2f4004..86ba903f 100644 --- a/theories/Sets/Uniset.v +++ b/theories/Sets/Uniset.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) |