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-rw-r--r--theories/Structures/DecidableType.v20
-rw-r--r--theories/Structures/DecidableTypeEx.v16
-rw-r--r--theories/Structures/Equalities.v16
-rw-r--r--theories/Structures/EqualitiesFacts.v16
-rw-r--r--theories/Structures/GenericMinMax.v16
-rw-r--r--theories/Structures/OrderedType.v16
-rw-r--r--theories/Structures/OrderedTypeAlt.v16
-rw-r--r--theories/Structures/OrderedTypeEx.v18
-rw-r--r--theories/Structures/Orders.v16
-rw-r--r--theories/Structures/OrdersAlt.v16
-rw-r--r--theories/Structures/OrdersEx.v16
-rw-r--r--theories/Structures/OrdersFacts.v16
-rw-r--r--theories/Structures/OrdersLists.v16
-rw-r--r--theories/Structures/OrdersTac.v16
-rw-r--r--theories/Structures/vo.itarget14
15 files changed, 129 insertions, 115 deletions
diff --git a/theories/Structures/DecidableType.v b/theories/Structures/DecidableType.v
index f85222df..24333ad8 100644
--- a/theories/Structures/DecidableType.v
+++ b/theories/Structures/DecidableType.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Export SetoidList.
Require Equalities.
@@ -86,7 +88,7 @@ Module KeyDecidableType(D:DecidableType).
Lemma InA_eqk : forall p q m, eqk p q -> InA eqk p m -> InA eqk q m.
Proof.
- intros; apply InA_eqA with p; auto with *.
+ intros; apply InA_eqA with p; auto using eqk_equiv.
Qed.
Definition MapsTo (k:key)(e:elt):= InA eqke (k,e).
@@ -109,7 +111,7 @@ Module KeyDecidableType(D:DecidableType).
Lemma MapsTo_eq : forall l x y e, eq x y -> MapsTo x e l -> MapsTo y e l.
Proof.
- intros; unfold MapsTo in *; apply InA_eqA with (x,e); eauto with *.
+ intros; unfold MapsTo in *; apply InA_eqA with (x,e); auto using eqke_equiv.
Qed.
Lemma In_eq : forall l x y, eq x y -> In x l -> In y l.
diff --git a/theories/Structures/DecidableTypeEx.v b/theories/Structures/DecidableTypeEx.v
index 163a40f2..8dd2e710 100644
--- a/theories/Structures/DecidableTypeEx.v
+++ b/theories/Structures/DecidableTypeEx.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import DecidableType OrderedType OrderedTypeEx.
Set Implicit Arguments.
diff --git a/theories/Structures/Equalities.v b/theories/Structures/Equalities.v
index 747d03f8..5f60a979 100644
--- a/theories/Structures/Equalities.v
+++ b/theories/Structures/Equalities.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Export RelationClasses.
Require Import Bool Morphisms Setoid.
diff --git a/theories/Structures/EqualitiesFacts.v b/theories/Structures/EqualitiesFacts.v
index cee3d63f..7b6ee2ea 100644
--- a/theories/Structures/EqualitiesFacts.v
+++ b/theories/Structures/EqualitiesFacts.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import Equalities Bool SetoidList RelationPairs.
diff --git a/theories/Structures/GenericMinMax.v b/theories/Structures/GenericMinMax.v
index ac52d1bb..05edc6cc 100644
--- a/theories/Structures/GenericMinMax.v
+++ b/theories/Structures/GenericMinMax.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import Orders OrdersTac OrdersFacts Setoid Morphisms Basics.
diff --git a/theories/Structures/OrderedType.v b/theories/Structures/OrderedType.v
index 93ca383b..f6fc247d 100644
--- a/theories/Structures/OrderedType.v
+++ b/theories/Structures/OrderedType.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Export SetoidList Morphisms OrdersTac.
Set Implicit Arguments.
diff --git a/theories/Structures/OrderedTypeAlt.v b/theories/Structures/OrderedTypeAlt.v
index b054496e..278046a8 100644
--- a/theories/Structures/OrderedTypeAlt.v
+++ b/theories/Structures/OrderedTypeAlt.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import OrderedType.
(** * An alternative (but equivalent) presentation for an Ordered Type
diff --git a/theories/Structures/OrderedTypeEx.v b/theories/Structures/OrderedTypeEx.v
index 3c6afc7b..f2a9a569 100644
--- a/theories/Structures/OrderedTypeEx.v
+++ b/theories/Structures/OrderedTypeEx.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import OrderedType.
Require Import ZArith.
@@ -55,7 +57,7 @@ Module Nat_as_OT <: UsualOrderedType.
Definition compare x y : Compare lt eq x y.
Proof.
- case_eq (nat_compare x y); intro.
+ case_eq (Nat.compare x y); intro.
- apply EQ. now apply nat_compare_eq.
- apply LT. now apply nat_compare_Lt_lt.
- apply GT. now apply nat_compare_Gt_gt.
diff --git a/theories/Structures/Orders.v b/theories/Structures/Orders.v
index 724690b4..42756ad3 100644
--- a/theories/Structures/Orders.v
+++ b/theories/Structures/Orders.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Export Relations Morphisms Setoid Equalities.
Set Implicit Arguments.
diff --git a/theories/Structures/OrdersAlt.v b/theories/Structures/OrdersAlt.v
index 5dd917a7..ad6a3876 100644
--- a/theories/Structures/OrdersAlt.v
+++ b/theories/Structures/OrdersAlt.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
(* Finite sets library.
* Authors: Pierre Letouzey and Jean-Christophe Filliâtre
diff --git a/theories/Structures/OrdersEx.v b/theories/Structures/OrdersEx.v
index 89c56388..93168f7d 100644
--- a/theories/Structures/OrdersEx.v
+++ b/theories/Structures/OrdersEx.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
(* Finite sets library.
* Authors: Pierre Letouzey and Jean-Christophe Filliâtre
diff --git a/theories/Structures/OrdersFacts.v b/theories/Structures/OrdersFacts.v
index 0115d8a5..87df6b47 100644
--- a/theories/Structures/OrdersFacts.v
+++ b/theories/Structures/OrdersFacts.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import Bool Basics OrdersTac.
Require Export Orders.
diff --git a/theories/Structures/OrdersLists.v b/theories/Structures/OrdersLists.v
index bf8529bc..abdb9eff 100644
--- a/theories/Structures/OrdersLists.v
+++ b/theories/Structures/OrdersLists.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Export RelationPairs SetoidList Orders EqualitiesFacts.
diff --git a/theories/Structures/OrdersTac.v b/theories/Structures/OrdersTac.v
index 475a25a4..ebd8ee8f 100644
--- a/theories/Structures/OrdersTac.v
+++ b/theories/Structures/OrdersTac.v
@@ -1,10 +1,12 @@
-(***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
-(* \VV/ *************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(***********************************************************************)
+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
Require Import Setoid Morphisms Basics Equalities Orders.
Set Implicit Arguments.
diff --git a/theories/Structures/vo.itarget b/theories/Structures/vo.itarget
deleted file mode 100644
index 674e9fba..00000000
--- a/theories/Structures/vo.itarget
+++ /dev/null
@@ -1,14 +0,0 @@
-Equalities.vo
-EqualitiesFacts.vo
-Orders.vo
-OrdersEx.vo
-OrdersFacts.vo
-OrdersLists.vo
-OrdersTac.vo
-OrdersAlt.vo
-GenericMinMax.vo
-DecidableType.vo
-DecidableTypeEx.vo
-OrderedTypeAlt.vo
-OrderedTypeEx.vo
-OrderedType.vo
generated by cgit v1.2.3 (git 2.39.1) at 2024-05-20 03:50:11 +0000