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* Update headers following #6543.Gravatar Théo Zimmermann2018-02-27
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* Bump year in headers.Gravatar Pierre-Marie Pédrot2017-07-04
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* Update copyright headers.Gravatar Maxime Dénès2016-01-20
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* Update headers.Gravatar Maxime Dénès2015-01-12
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* Arith: full integration of the "Numbers" modular frameworkGravatar Pierre Letouzey2014-07-09
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | - The earlier proof-of-concept file NPeano (which instantiates the "Numbers" framework for nat) becomes now the entry point in the Arith lib, and gets renamed PeanoNat. It still provides an inner module "Nat" which sums up everything about type nat (functions, predicates and properties of them). This inner module Nat is usable as soon as you Require Import Arith, or just Arith_base, or simply PeanoNat. - Definitions of operations over type nat are now grouped in a new file Init/Nat.v. This file is meant to be used without "Import", hence providing for instance Nat.add or Nat.sqrt as soon as coqtop starts (but no proofs about them). - The definitions that used to be in Init/Peano.v (pred, plus, minus, mult) are now compatibility notations (for Nat.pred, Nat.add, Nat.sub, Nat.mul where here Nat is Init/Nat.v). - This Coq.Init.Nat module (with only pure definitions) is Include'd in the aforementioned Coq.Arith.PeanoNat.Nat. You might see Init.Nat sometimes instead of just Nat (for instance when doing "Print plus"). Normally it should be ok to just ignore these "Init" since Init.Nat is included in the full PeanoNat.Nat. I'm investigating if it's possible to get rid of these "Init" prefixes. - Concerning predicates, orders le and lt are still defined in Init/Peano.v, with their notations "<=" and "<". Properties in PeanoNat.Nat directly refer to these predicates in Peano. For instantation reasons, PeanoNat.Nat also contains a Nat.le and Nat.lt (defined via "Definition le := Peano.le", we cannot yet include an Inductive to implement a Parameter), but these aliased predicates won't probably be very convenient to use. - Technical remark: I've split the previous property functor NProp in two parts (NBasicProp and NExtraProp), it helps a lot for building PeanoNat.Nat incrementally. Roughly speaking, we have the following schema: Module Nat. Include Coq.Init.Nat. (* definition of operations : add ... sqrt ... *) ... (** proofs of specifications for basic ops such as + * - *) Include NBasicProp. (** generic properties of these basic ops *) ... (** proofs of specifications for advanced ops (pow sqrt log2...) that may rely on proofs for + * - *) Include NExtraProp. (** all remaining properties *) End Nat. - All other files in directory Arith are now taking advantage of PeanoNat : they are now filled with compatibility notations (when earlier lemmas have exact counterpart in the Nat module) or lemmas with one-line proofs based on the Nat module. All hints for database "arith" remain declared in these old-style file (such as Plus.v, Lt.v, etc). All the old-style files are still Require'd (or not) by Arith.v, just as before. - Compatibility should be almost complete. For instance in the stdlib, the only adaptations were due to .ml code referring to some Coq constant name such as Coq.Init.Peano.pred, which doesn't live well with the new compatibility notations.
* nat_iter n f x -> nat_rect _ x (fun _ => f) nGravatar pboutill2012-12-21
| | | | | | | | It is much beter for everything (includind guard condition and simpl refolding) excepts typeclasse inference because unification does not recognize (fun x => f x b) a when it sees f a b ... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16112 85f007b7-540e-0410-9357-904b9bb8a0f7
* Revert "En cours pour 'generalize in clause' et 'induction in clause'"Gravatar herbelin2012-10-04
| | | | | | Sorry, was committed mistakenly. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15856 85f007b7-540e-0410-9357-904b9bb8a0f7
* En cours pour 'generalize in clause' et 'induction in clause'Gravatar herbelin2012-10-04
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15852 85f007b7-540e-0410-9357-904b9bb8a0f7
* Updating headers.Gravatar herbelin2012-08-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
* Kills the useless tactic annotations "in |- *"Gravatar letouzey2012-07-05
| | | | | | | Most of these heavyweight annotations were introduced a long time ago by the automatic 7.x -> 8.0 translator git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15518 85f007b7-540e-0410-9357-904b9bb8a0f7
* Open Local Scope ---> Local Open Scope, same with Notation and aliiGravatar letouzey2012-07-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15517 85f007b7-540e-0410-9357-904b9bb8a0f7
* Wf.iter_nat becomes Peano.nat_iter (with an implicit arg)Gravatar letouzey2011-05-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14103 85f007b7-540e-0410-9357-904b9bb8a0f7
* Some more revision of {P,N,Z}Arith + bitwise ops in NdigitsGravatar letouzey2010-11-18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Initial plan was only to add shiftl/shiftr/land/... to N and other number type, this is only partly done, but this work has diverged into a big reorganisation and improvement session of PArith,NArith,ZArith. Bool/Bool: add lemmas orb_diag (a||a = a) and andb_diag (a&&a = a) PArith/BinPos: - added a power function Ppow - iterator iter_pos moved from Zmisc to here + some lemmas - added Psize_pos, which is 1+log2, used to define Nlog2/Zlog2 - more lemmas on Pcompare and succ/+/* and order, allow to simplify a lot some old proofs elsewhere. - new/revised results on Pminus (including some direct proof of stuff from Pnat) PArith/Pnat: - more direct proofs (limit the need of stuff about Pmult_nat). - provide nicer names for some lemmas (eg. Pplus_plus instead of nat_of_P_plus_morphism), compatibility notations provided. - kill some too-specific lemmas unused in stdlib + contribs NArith/BinNat: - N_of_nat, nat_of_N moved from Nnat to here. - a lemma relating Npred and Nminus - revised definitions and specification proofs of Npow and Nlog2 NArith/Nnat: - shorter proofs. - stuff about Z_of_N is moved to Znat. This way, NArith is entirely independent from ZArith. NArith/Ndigits: - added bitwise operations Nand Nor Ndiff Nshiftl Nshiftr - revised proofs about Nxor, still using functional bit stream - use the same approach to prove properties of Nand Nor Ndiff ZArith/BinInt: huge simplification of Zplus_assoc + cosmetic stuff ZArith/Zcompare: nicer proofs of ugly things like Zcompare_Zplus_compat ZArith/Znat: some nicer proofs and names, received stuff about Z_of_N ZArith/Zmisc: almost empty new, only contain stuff about badly-named iter. Should be reformed more someday. ZArith/Zlog_def: Zlog2 is now based on Psize_pos, this factorizes proofs and avoid slowdown due to adding 1 in Z instead of in positive Zarith/Zpow_def: Zpower_opt is renamed more modestly Zpower_alt as long as I dont't know why it's slower on powers of two. Elsewhere: propagate new names + some nicer proofs NB: Impact on compatibility is probably non-zero, but should be really moderate. We'll see on contribs, but a few Require here and there might be necessary. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13651 85f007b7-540e-0410-9357-904b9bb8a0f7
* Updated all headers for 8.3 and trunkGravatar herbelin2010-07-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remove the svn-specific $Id$ annotationsGravatar letouzey2010-04-29
| | | | | | | | | | | - Many of them were broken, some of them after Pierre B's rework of mli for ocamldoc, but not only (many bad annotation, many files with no svn property about Id, etc) - Useless for those of us that work with git-svn (and a fortiori in a forthcoming git-only setting) - Even in svn, they seem to be of little interest git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12972 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remove various useless {struct} annotationsGravatar letouzey2009-11-02
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12458 85f007b7-540e-0410-9357-904b9bb8a0f7
* Delete trailing whitespaces in all *.{v,ml*} filesGravatar glondu2009-09-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Extension de "generalize" en "generalize c as id at occs".Gravatar herbelin2008-06-08
| | | | | | | | | | | | | | | | | - Ajout clause "in" à "remember" (et passage du code en ML). - Ajout clause "in" à "induction"/"destruct" qui, en ce cas, ajoute aussi une égalité pour se souvenir du terme sur lequel l'induction ou l'analyse de cas s'applique. - Ajout "pose t as id" en standard (Matthieu: j'ai enlevé celui de Programs qui avait la sémantique de "pose proof" tandis que le nouveau a la même sémantique que "pose (id:=t)"). - Un peu de réorganisation, uniformisation de noms dans Arith, et ajout EqNat dans Arith. - Documentation tactiques et notations de tactiques. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11072 85f007b7-540e-0410-9357-904b9bb8a0f7
* Une passe sur les réels:Gravatar herbelin2008-03-23
| | | | | | | | | | | | | | | | | | | | | | | | - Renommage de Rlt_not_le de Fourier_util en Rlt_not_le_frac_opp pour éviter la confusion avec le Rlt_not_le de RIneq. - Quelques variantes de lemmes en plus dans RIneq. - Déplacement des énoncés de sigT dans sig (y compris la complétude) et utilisation de la notation { l:R | }. - Suppression hypothèse inutile de ln_exists1. - Ajout notation ² pour Rsqr. Au passage: - Déplacement de dec_inh_nat_subset_has_unique_least_element de ChoiceFacts vers Wf_nat. - Correction de l'espace en trop dans les notations de Specif.v liées à "&". - MAJ fichier CHANGES Note: il reste un axiome dans Ranalysis (raison technique: Ltac ne sait pas manipuler un terme ouvert) et dans Rtrigo.v ("sin PI/2 = 1" non prouvé). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10710 85f007b7-540e-0410-9357-904b9bb8a0f7
* Corrected the ML code for well-founded recursion in the comment.Gravatar emakarov2007-11-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10306 85f007b7-540e-0410-9357-904b9bb8a0f7
* fixes PR#1269 about function: there is no reason well founded induction isGravatar bertot2006-11-05
| | | | | | limited to only Set and not any type in Type git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9340 85f007b7-540e-0410-9357-904b9bb8a0f7
* Mise en forme des theoriesGravatar notin2006-10-17
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* Modification des propriétés (svn:executable)Gravatar notin2006-03-17
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* Application du souhait de transparence de well_founded_ltof (#1007)Gravatar herbelin2005-12-30
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* Nouvelle en-têteGravatar herbelin2004-07-16
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* modif existentielle (exists | --> exists ,) + bug d'affichage des pt fixesGravatar barras2003-12-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5099 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states ↵Gravatar herbelin2003-11-29
| | | | | | par les fichiers nouvelle syntaxe git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
* Independance vis a vis noms variables liees; partie sur bool dans ZboolGravatar herbelin2003-11-12
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* ajout inverse relation bien fondeeGravatar mohring2003-05-09
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* Suppression de l'étage "Import nat/Z/R_scope". "Open Scope" remplace "Import".Gravatar herbelin2003-04-09
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* Implicit Variables TypeGravatar herbelin2003-03-29
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* *** empty log message ***Gravatar barras2003-03-12
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* Mise en transparence des schémas d'induction bien-fondée sur SetGravatar herbelin2002-10-21
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* Uniformisation (Qed/Save et Implicits Arguments)Gravatar herbelin2002-04-17
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* option -dump-glob pour coqdocGravatar filliatr2002-02-14
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* Expérimentation de NewDestruct et parfois NewInductionGravatar herbelin2001-08-05
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* Library doc adjustments (until page 140)Gravatar coq2001-04-20
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* Mise de (*i autour CVS infoGravatar mohring2001-04-19
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* documentation automatique de la bibliothèque standardGravatar filliatr2001-04-11
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* entetesGravatar filliatr2001-03-15
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* mise sous CVS du repertoire theories/ArithGravatar filliatr2000-03-10
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@311 85f007b7-540e-0410-9357-904b9bb8a0f7
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