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path: root/theories/Arith/Plus.v
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2020-11-16Explicitly annotate all hint declarations of the standard library.Pierre-Marie Pédrot
By default Coq stdlib warnings raise an error, so this is really required.
2020-09-16Modify Arith/Plus.v to compile with -mangle-namesJasper Hugunin
2020-03-18Update headers in the whole code base.Théo Zimmermann
Add headers to a few files which were missing them.
2019-06-17Update ml-style headers to new year.Théo Zimmermann
2018-03-05Merge PR #6855: Update headers following #6543.Maxime Dénès
2018-03-02Remove the deprecation for some 8.2-8.5 compatibility aliases.Théo Zimmermann
This was decided during the Fall WG (2017). The aliases that are kept as deprecated are the ones where the difference is only a prefix becoming a qualified module name. The intention is to turn the warning for deprecated notations on. We change the compat version to 8.6 to allow the removal of VOld and V8_5.
2018-02-27Update headers following #6543.Théo Zimmermann
2016-10-24Remove v62 from stdlib.Théo Zimmermann
This old compatibility hint database can be safely removed now that coq-contribs do not depend on it anymore.
2014-07-09Arith: full integration of the "Numbers" modular frameworkPierre Letouzey
- 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.
2012-07-05Kills the useless tactic annotations "in |- *"letouzey
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
2012-07-05Open Local Scope ---> Local Open Scope, same with Notation and aliiletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15517 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-12-12Sorry for the mistake in r13702pboutill
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13704 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-12-10First release of Vector library.pboutill
To avoid names&notations clashs with list, Vector shouldn't be "Import"ed but one can "Import Vector.VectorNotations." to have notations. SetoidVector at least remains to do. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13702 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-07-24Updated all headers for 8.3 and trunkherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-04-29Remove the svn-specific $Id$ annotationsletouzey
- 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
2009-11-02Remove various useless {struct} annotationsletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12458 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-09-17Delete trailing whitespaces in all *.{v,ml*} filesglondu
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-04-06simplier version of tail_plusletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9750 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-10-17Mise en forme des theoriesnotin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9245 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-17Modification des propriétés (svn:executable)notin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8642 85f007b7-540e-0410-9357-904b9bb8a0f7
2004-07-16Nouvelle en-têteherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 85f007b7-540e-0410-9357-904b9bb8a0f7
2004-06-02Nouveaux thms de non circularité de natherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5795 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-11-29Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states ↵herbelin
par les fichiers nouvelle syntaxe git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-11-14Nouveaux lemmes 'canoniques'; compatibiliteherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4901 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-11-12Independance vis a vis noms variables liees; partie sur bool dans Zboolherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4876 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-10-22Documentation/Structurationherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4701 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-09-24Destruct/Induction -> NewDestruct/NewInductionherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4469 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-04-09Suppression de l'étage "Import nat/Z/R_scope". "Open Scope" remplace "Import".herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3877 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-03-29Implicit Variables Typeherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3809 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-10-13Mise en place d'ensembles de notations symboliques pour nat, Z et Rherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3125 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-09Making the sumbool functions transparent, so that they can used tobertot
compute even inside Coq. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2846 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-05-29Introduction de syntaxe convivial +,*,<=,<,>=herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2730 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-02-14option -dump-glob pour coqdocfilliatr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2474 85f007b7-540e-0410-9357-904b9bb8a0f7
2001-11-15Ajout des fonctions tail-recursives tail_plus et tail_mult.letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2194 85f007b7-540e-0410-9357-904b9bb8a0f7
2001-08-05Expérimentation de NewDestruct et parfois NewInductionherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1880 85f007b7-540e-0410-9357-904b9bb8a0f7
2001-04-20Library doc adjustments (until page 140)coq
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1655 85f007b7-540e-0410-9357-904b9bb8a0f7
2001-04-19Mise de (*i autour CVS infomohring
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1619 85f007b7-540e-0410-9357-904b9bb8a0f7
2001-04-08ajout des lemmes Zimmermanmohring
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1556 85f007b7-540e-0410-9357-904b9bb8a0f7
2001-03-15entetesfilliatr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1469 85f007b7-540e-0410-9357-904b9bb8a0f7
2000-03-10mise sous CVS du repertoire theories/Arithfilliatr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@311 85f007b7-540e-0410-9357-904b9bb8a0f7
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