diff options
author | Stephane Glondu <steph@glondu.net> | 2011-12-25 13:24:00 +0100 |
---|---|---|
committer | Stephane Glondu <steph@glondu.net> | 2011-12-25 13:24:00 +0100 |
commit | 48c05753a959be121af5c1712e8ad114b18874f6 (patch) | |
tree | 8ad1a16af591eb44dc8563e7d7a41748ecdfb9e7 /theories/Arith | |
parent | 5f43edb15fbe34bf1f31a7155e40896baa067796 (diff) | |
parent | 5fe4ac437bed43547b3695664974f492b55cb553 (diff) |
Merge commit 'upstream/8.3.pl3+dfsg'
Diffstat (limited to 'theories/Arith')
-rw-r--r-- | theories/Arith/Arith.v | 4 | ||||
-rw-r--r-- | theories/Arith/Arith_base.v | 4 | ||||
-rw-r--r-- | theories/Arith/Between.v | 4 | ||||
-rw-r--r-- | theories/Arith/Bool_nat.v | 4 | ||||
-rw-r--r-- | theories/Arith/Compare.v | 4 | ||||
-rw-r--r-- | theories/Arith/Compare_dec.v | 4 | ||||
-rw-r--r-- | theories/Arith/Div2.v | 4 | ||||
-rw-r--r-- | theories/Arith/EqNat.v | 4 | ||||
-rw-r--r-- | theories/Arith/Euclid.v | 4 | ||||
-rw-r--r-- | theories/Arith/Even.v | 4 | ||||
-rw-r--r-- | theories/Arith/Factorial.v | 4 | ||||
-rw-r--r-- | theories/Arith/Gt.v | 4 | ||||
-rw-r--r-- | theories/Arith/Le.v | 4 | ||||
-rw-r--r-- | theories/Arith/Lt.v | 4 | ||||
-rw-r--r-- | theories/Arith/Max.v | 4 | ||||
-rw-r--r-- | theories/Arith/Min.v | 4 | ||||
-rw-r--r-- | theories/Arith/MinMax.v | 2 | ||||
-rw-r--r-- | theories/Arith/Minus.v | 4 | ||||
-rw-r--r-- | theories/Arith/Mult.v | 4 | ||||
-rw-r--r-- | theories/Arith/NatOrderedType.v | 2 | ||||
-rw-r--r-- | theories/Arith/Peano_dec.v | 4 | ||||
-rw-r--r-- | theories/Arith/Plus.v | 4 | ||||
-rw-r--r-- | theories/Arith/Wf_nat.v | 4 |
23 files changed, 44 insertions, 44 deletions
diff --git a/theories/Arith/Arith.v b/theories/Arith/Arith.v index 0f5ef9d0..2e9dc2de 100644 --- a/theories/Arith/Arith.v +++ b/theories/Arith/Arith.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Arith.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Arith.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Export Arith_base. Require Export ArithRing. diff --git a/theories/Arith/Arith_base.v b/theories/Arith/Arith_base.v index c5135f63..e9953e54 100644 --- a/theories/Arith/Arith_base.v +++ b/theories/Arith/Arith_base.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Arith_base.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Arith_base.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Export Le. Require Export Lt. diff --git a/theories/Arith/Between.v b/theories/Arith/Between.v index 2ccf802d..65753e31 100644 --- a/theories/Arith/Between.v +++ b/theories/Arith/Between.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Between.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Between.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Import Le. Require Import Lt. diff --git a/theories/Arith/Bool_nat.v b/theories/Arith/Bool_nat.v index 9ace38b1..b3dcd8ec 100644 --- a/theories/Arith/Bool_nat.v +++ b/theories/Arith/Bool_nat.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(* $Id: Bool_nat.v 13323 2010-07-24 15:57:30Z herbelin $ *) +(* $Id: Bool_nat.v 14641 2011-11-06 11:59:10Z herbelin $ *) Require Export Compare_dec. Require Export Peano_dec. diff --git a/theories/Arith/Compare.v b/theories/Arith/Compare.v index 2775d132..2fe5c0d9 100644 --- a/theories/Arith/Compare.v +++ b/theories/Arith/Compare.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Compare.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Compare.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Equality is decidable on [nat] *) diff --git a/theories/Arith/Compare_dec.v b/theories/Arith/Compare_dec.v index 0811fea7..99c7415e 100644 --- a/theories/Arith/Compare_dec.v +++ b/theories/Arith/Compare_dec.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Compare_dec.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Compare_dec.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Import Le. Require Import Lt. diff --git a/theories/Arith/Div2.v b/theories/Arith/Div2.v index adbca442..89620f5f 100644 --- a/theories/Arith/Div2.v +++ b/theories/Arith/Div2.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Div2.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Div2.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Import Lt. Require Import Plus. diff --git a/theories/Arith/EqNat.v b/theories/Arith/EqNat.v index e49e5d14..60575beb 100644 --- a/theories/Arith/EqNat.v +++ b/theories/Arith/EqNat.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: EqNat.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: EqNat.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Equality on natural numbers *) diff --git a/theories/Arith/Euclid.v b/theories/Arith/Euclid.v index 54f4f013..f32e1ad4 100644 --- a/theories/Arith/Euclid.v +++ b/theories/Arith/Euclid.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Euclid.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Euclid.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Import Mult. Require Import Compare_dec. diff --git a/theories/Arith/Even.v b/theories/Arith/Even.v index 527ad748..5bab97c2 100644 --- a/theories/Arith/Even.v +++ b/theories/Arith/Even.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Even.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Even.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Here we define the predicates [even] and [odd] by mutual induction and we prove the decidability and the exclusion of those predicates. diff --git a/theories/Arith/Factorial.v b/theories/Arith/Factorial.v index 5385bf61..3b434b96 100644 --- a/theories/Arith/Factorial.v +++ b/theories/Arith/Factorial.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Factorial.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Factorial.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Import Plus. Require Import Mult. diff --git a/theories/Arith/Gt.v b/theories/Arith/Gt.v index eda051df..43df01c0 100644 --- a/theories/Arith/Gt.v +++ b/theories/Arith/Gt.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Gt.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Gt.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Theorems about [gt] in [nat]. [gt] is defined in [Init/Peano.v] as: << diff --git a/theories/Arith/Le.v b/theories/Arith/Le.v index f24667d0..b73959e7 100644 --- a/theories/Arith/Le.v +++ b/theories/Arith/Le.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Le.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Le.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Order on natural numbers. [le] is defined in [Init/Peano.v] as: << diff --git a/theories/Arith/Lt.v b/theories/Arith/Lt.v index 0032741e..004274fe 100644 --- a/theories/Arith/Lt.v +++ b/theories/Arith/Lt.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Lt.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Lt.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Theorems about [lt] in nat. [lt] is defined in library [Init/Peano.v] as: << diff --git a/theories/Arith/Max.v b/theories/Arith/Max.v index b4c4d7ad..d1b1b269 100644 --- a/theories/Arith/Max.v +++ b/theories/Arith/Max.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Max.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Max.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** THIS FILE IS DEPRECATED. Use [MinMax] instead. *) diff --git a/theories/Arith/Min.v b/theories/Arith/Min.v index 81142249..0c8b5669 100644 --- a/theories/Arith/Min.v +++ b/theories/Arith/Min.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Min.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Min.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** THIS FILE IS DEPRECATED. Use [MinMax] instead. *) diff --git a/theories/Arith/MinMax.v b/theories/Arith/MinMax.v index 75c13caa..8a23c8f6 100644 --- a/theories/Arith/MinMax.v +++ b/theories/Arith/MinMax.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Arith/Minus.v b/theories/Arith/Minus.v index 39062348..1b36f236 100644 --- a/theories/Arith/Minus.v +++ b/theories/Arith/Minus.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Minus.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Minus.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** [minus] (difference between two natural numbers) is defined in [Init/Peano.v] as: << diff --git a/theories/Arith/Mult.v b/theories/Arith/Mult.v index 3ba98472..5dd61d67 100644 --- a/theories/Arith/Mult.v +++ b/theories/Arith/Mult.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Mult.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Mult.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Export Plus. Require Export Minus. diff --git a/theories/Arith/NatOrderedType.v b/theories/Arith/NatOrderedType.v index 90ff5b41..fb4bf233 100644 --- a/theories/Arith/NatOrderedType.v +++ b/theories/Arith/NatOrderedType.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) diff --git a/theories/Arith/Peano_dec.v b/theories/Arith/Peano_dec.v index 908f99f0..5cceab8b 100644 --- a/theories/Arith/Peano_dec.v +++ b/theories/Arith/Peano_dec.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Peano_dec.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Peano_dec.v 14641 2011-11-06 11:59:10Z herbelin $ i*) Require Import Decidable. diff --git a/theories/Arith/Plus.v b/theories/Arith/Plus.v index 3c5f28b6..12f12300 100644 --- a/theories/Arith/Plus.v +++ b/theories/Arith/Plus.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Plus.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Plus.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Properties of addition. [add] is defined in [Init/Peano.v] as: << diff --git a/theories/Arith/Wf_nat.v b/theories/Arith/Wf_nat.v index 07ab1c3e..23419531 100644 --- a/theories/Arith/Wf_nat.v +++ b/theories/Arith/Wf_nat.v @@ -1,12 +1,12 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Wf_nat.v 13323 2010-07-24 15:57:30Z herbelin $ i*) +(*i $Id: Wf_nat.v 14641 2011-11-06 11:59:10Z herbelin $ i*) (** Well-founded relations and natural numbers *) |