aboutsummaryrefslogtreecommitdiffhomepage
path: root/theories/Arith/Even.v
Commit message (Collapse)AuthorAge
* [ltac] Deprecate nameless fix/cofix.Gravatar Emilio Jesus Gallego Arias2018-04-13
| | | | | | | | | | | | 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.
* Update headers following #6543.Gravatar Théo Zimmermann2018-02-27
|
* Bump year in headers.Gravatar Pierre-Marie Pédrot2017-07-04
|
* Update copyright headers.Gravatar Maxime Dénès2016-01-20
|
* Update headers.Gravatar Maxime Dénès2015-01-12
|
* 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.
* 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
* 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
* 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
* - Fixed many "Theorem with" bugs.Gravatar herbelin2008-10-27
| | | | | | | | | | | - 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
* Merged revisions ↵Gravatar msozeau2007-12-31
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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
* Mise en forme des theoriesGravatar notin2006-10-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9245 85f007b7-540e-0410-9357-904b9bb8a0f7
* Nouvelle en-têteGravatar herbelin2004-07-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 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
* Open Scope remplace ImportGravatar herbelin2003-04-10
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3912 85f007b7-540e-0410-9357-904b9bb8a0f7
* Suppression de l'étage "Import nat/Z/R_scope". "Open Scope" remplace "Import".Gravatar herbelin2003-04-09
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3877 85f007b7-540e-0410-9357-904b9bb8a0f7
* Implicit Variables TypeGravatar herbelin2003-03-29
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3809 85f007b7-540e-0410-9357-904b9bb8a0f7
* *** empty log message ***Gravatar barras2003-03-12
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3761 85f007b7-540e-0410-9357-904b9bb8a0f7
* Uniformisation (Qed/Save et Implicits Arguments)Gravatar herbelin2002-04-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2650 85f007b7-540e-0410-9357-904b9bb8a0f7
* option -dump-glob pour coqdocGravatar filliatr2002-02-14
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2474 85f007b7-540e-0410-9357-904b9bb8a0f7
* Extension de Even et Div2Gravatar herbelin2001-12-21
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2367 85f007b7-540e-0410-9357-904b9bb8a0f7
* Expérimentation de NewDestruct et parfois NewInductionGravatar herbelin2001-08-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1880 85f007b7-540e-0410-9357-904b9bb8a0f7
* *** empty log message ***Gravatar mohring2001-04-19
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1618 85f007b7-540e-0410-9357-904b9bb8a0f7
* entetesGravatar filliatr2001-03-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1469 85f007b7-540e-0410-9357-904b9bb8a0f7
* Commit malencontreux sur précédente versionGravatar herbelin2000-10-04
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@655 85f007b7-540e-0410-9357-904b9bb8a0f7
* Mise en conformité nouveau Simpl pour FixGravatar herbelin2000-10-04
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@654 85f007b7-540e-0410-9357-904b9bb8a0f7
* 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