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path: root/theories/Arith/Even.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.
2020-10-11Modify Arith/Even.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
2018-04-13[ltac] Deprecate nameless fix/cofix.Emilio Jesus Gallego Arias
LTAC's `fix` and `cofix` do require access to the proof object inside the tactic monad when used without a name. This is a bit inconvenient as we aim to make the handling of the proof object purely functional. Alternatives have been discussed in #7196, and it seems that deprecating the nameless forms may have the best cost/benefit ratio, so opening this PR for discussion. See also #6171.
2018-02-27Update headers following #6543.Théo Zimmermann
2017-07-04Bump year in headers.Pierre-Marie Pédrot
2016-01-20Update copyright headers.Maxime Dénès
2015-01-12Update headers.Maxime Dénès
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.
2012-08-08Updating headers.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
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
2010-07-24Updated 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
2009-09-17Delete 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
2008-10-27- Fixed many "Theorem with" bugs.herbelin
- Fixed doc of assert as. - Doc of apply in + update credits. - Nettoyage partiel de Even.v en utilisant "Theorem with". - Added check that name is not in use for "generalize as". git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11511 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-12-31Merged revisions ↵msozeau
10358-10362,10365,10371-10373,10377,10383-10384,10394-10395,10398,10403-10408 via svnmerge from svn+ssh://msozeau@scm.gforge.inria.fr/svn/coq/branches/TypeClasses ........ r10358 | msozeau | 2007-12-10 15:42:53 +0100 (Mon, 10 Dec 2007) | 1 line Comment grammar error ........ r10359 | msozeau | 2007-12-10 16:04:09 +0100 (Mon, 10 Dec 2007) | 7 lines The initial Type Classes patch. This patch introduces type classes and instance definitions a la Haskell. Technically, it uses the implicit arguments mechanism which was extended a bit. The patch also introduces a notation for explicitely marking implicit, maximally inserted parameters. It includes the tactic redefinition code too (Ltac tac ::= foo redefines tac). ........ r10360 | msozeau | 2007-12-10 16:14:30 +0100 (Mon, 10 Dec 2007) | 1 line Fix interface ........ r10361 | msozeau | 2007-12-10 16:28:19 +0100 (Mon, 10 Dec 2007) | 1 line Fix more xlate code ........ r10362 | msozeau | 2007-12-11 02:00:53 +0100 (Tue, 11 Dec 2007) | 3 lines Update coqdoc for type classes, fix proof state not being displayed on Next Obligation. ........ r10365 | msozeau | 2007-12-11 14:22:35 +0100 (Tue, 11 Dec 2007) | 3 lines Bug fixes in Instance decls. ........ r10371 | msozeau | 2007-12-12 21:17:30 +0100 (Wed, 12 Dec 2007) | 3 lines Streamline typeclass context implementation, prepare for class binders in proof statements. ........ r10372 | msozeau | 2007-12-12 22:03:38 +0100 (Wed, 12 Dec 2007) | 1 line Minor cosmetic fixes: allow sorts as typeclass param instances without parens and infer more types in class definitions ........ r10373 | msozeau | 2007-12-13 00:35:09 +0100 (Thu, 13 Dec 2007) | 2 lines Better names in g_vernac, binders in Lemmas and Context [] to introduce a typeclass context. ........ r10377 | msozeau | 2007-12-13 18:34:33 +0100 (Thu, 13 Dec 2007) | 1 line Stupid bug ........ r10383 | msozeau | 2007-12-16 00:04:48 +0100 (Sun, 16 Dec 2007) | 1 line Bug fixes in name handling and implicits, new syntax for using implicit mode in typeclass constraints ........ r10384 | msozeau | 2007-12-16 15:53:24 +0100 (Sun, 16 Dec 2007) | 1 line Streamlined implementation of instances again, the produced typeclass is a typeclass constraint. Added corresponding implicit/explicit behaviors ........ r10394 | msozeau | 2007-12-18 23:42:56 +0100 (Tue, 18 Dec 2007) | 4 lines Various fixes for implicit arguments, new "Enriching" kw to just enrich existing sets of impl args. New syntax !a to force an argument, even if not dependent. New tactic clrewrite using a setoid typeclass implementation to do setoid_rewrite under compatible morphisms... very experimental. Other bugs related to naming in typeclasses fixed. ........ r10395 | msozeau | 2007-12-19 17:11:55 +0100 (Wed, 19 Dec 2007) | 3 lines Progress on setoids using type classes, recognize setoid equalities in hyps better. Streamline implementation to return more information when resolving setoids (return the results setoid). ........ r10398 | msozeau | 2007-12-20 10:18:19 +0100 (Thu, 20 Dec 2007) | 1 line Syntax change, more like Coq ........ r10403 | msozeau | 2007-12-21 22:30:35 +0100 (Fri, 21 Dec 2007) | 1 line Add right-to-left rewriting in class_setoid, fix some discharge/substitution bug, adapt test-suite to latest syntax ........ r10404 | msozeau | 2007-12-24 21:47:58 +0100 (Mon, 24 Dec 2007) | 2 lines Work on type classes based rewrite tactic. ........ r10405 | msozeau | 2007-12-27 18:51:32 +0100 (Thu, 27 Dec 2007) | 2 lines Better evar handling in pretyping, reorder theories/Program and add some tactics for dealing with subsets. ........ r10406 | msozeau | 2007-12-27 18:52:05 +0100 (Thu, 27 Dec 2007) | 1 line Forgot to add a file ........ r10407 | msozeau | 2007-12-29 17:19:54 +0100 (Sat, 29 Dec 2007) | 4 lines Generalize usage of implicit arguments in terms, up to rawconstr. Binders are decorated with binding info, either Implicit or Explicit for rawconstr. Factorizes code for typeclasses, topconstrs decorations are Default (impl|expl) or TypeClass (impl|expl) and implicit quantification is resolve at internalization time, getting rid of the arbitrary prenex restriction on contexts. ........ r10408 | msozeau | 2007-12-31 00:58:50 +0100 (Mon, 31 Dec 2007) | 4 lines Fix parsing of subset binders, bugs in subtac_cases and handling of mutual defs obligations. Add useful tactics to Program.Subsets. ........ git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10410 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
2004-07-16Nouvelle en-têteherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 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
2003-04-10Open Scope remplace Importherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3912 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
2003-03-12*** empty log message ***barras
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3761 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-04-17Uniformisation (Qed/Save et Implicits Arguments)herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2650 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
2001-12-21Extension de Even et Div2herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2367 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
2001-04-19*** empty log message ***mohring
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1618 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
2000-10-04Commit malencontreux sur précédente versionherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@655 85f007b7-540e-0410-9357-904b9bb8a0f7
2000-10-04Mise en conformité nouveau Simpl pour Fixherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@654 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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