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* Zdiv seen as a quasi-instantation of generic ZDivFloor from theories/NumbersGravatar letouzey2010-01-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12627 85f007b7-540e-0410-9357-904b9bb8a0f7
* ZOdiv: fully use generic properties from ZDivTrunc.vGravatar letouzey2009-12-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12596 85f007b7-540e-0410-9357-904b9bb8a0f7
* Reverse order of arguments in min_case_strong for better uniformity (and ↵Gravatar letouzey2009-12-17
| | | | | | compatibility...) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12595 85f007b7-540e-0410-9357-904b9bb8a0f7
* Division in Numbers : more properties, new filenames based on a paper by R. ↵Gravatar letouzey2009-12-17
| | | | | | | | | | | | | | Boute Following R. Boute (paper "the Euclidean Definition of the Functions div and mod"): - ZDivFloor.v for Coq historical division (former ZDivCoq.v) - ZDivTrunc.v for Ocaml convention (former ZDivOcaml.v) - ZDivEucl.v for "Mathematical" convention 0<=r (former ZDivMath.v) These property functors are more or less finished (except that sign and abs stuff should be migrated to a separate file). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12594 85f007b7-540e-0410-9357-904b9bb8a0f7
* Division in Numbers: more properties proved (still W.I.P.)Gravatar letouzey2009-12-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12591 85f007b7-540e-0410-9357-904b9bb8a0f7
* A generic euclidean division in Numbers (Still Work-In-Progress)Gravatar letouzey2009-12-15
| | | | | | | | | | | - For Z, we propose 3 conventions for the sign of the remainder... - Instanciation for nat in NPeano. - Beginning of instanciation in ZOdiv. Still many proofs to finish, etc, etc, but soon we will have a decent properties database for all divisions of all instances of Numbers (e.g. BigZ). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12590 85f007b7-540e-0410-9357-904b9bb8a0f7
* Factorisation between Makefile and ocamlbuild systems : .vo to compile are ↵Gravatar letouzey2009-12-09
| | | | | | | | | | | | in */*/vo.itarget On the way: no more -fsets (yes|no) and -reals (yes|no) option of configure if you want a partial build, make a specific rule such as theories-light Beware: these vo.itarget should not contain comments. Even if this is legal for ocamlbuild, the $(shell cat ...) we do in Makefile can't accept that. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12574 85f007b7-540e-0410-9357-904b9bb8a0f7
* Taking advantage of the new "Include Self Type" in DecidableType2 and NZAxiomsGravatar letouzey2009-11-16
| | | | | | | We can now have a diamond-like approch to extentions of signatures, instead of a linear-only chains as earlier... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12529 85f007b7-540e-0410-9357-904b9bb8a0f7
* Simplification of Numbers, mainly thanks to IncludeGravatar letouzey2009-11-10
| | | | | | | | | | | | | | | | | - No more nesting of Module and Module Type, we rather use Include. - Instead of in-name-qualification like NZeq, we use uniform short names + modular qualification like N.eq when necessary. - Many simplification of proofs, by some autorewrite for instance - In NZOrder, we instantiate an "order" tactic. - Some requirements in NZAxioms were superfluous: compatibility of le, min and max could be derived from the rest. - NMul removed, since it was containing only an ad-hoc result for ZNatPairs, that we've inlined in the proof of mul_wd there. - Zdomain removed (was already not compiled), idea of a module with eq and eqb reused in DecidableType.BooleanEqualityType. - ZBinDefs don't contain any definition now, migrate it to ZBinary. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12489 85f007b7-540e-0410-9357-904b9bb8a0f7
* DecidableType: A specification via boolean equality as an alternative to eq_decGravatar letouzey2009-11-10
| | | | | | + adaptation of {Nat,N,P,Z,Q,R}_as_DT for them to provide both eq_dec and eqb git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12488 85f007b7-540e-0410-9357-904b9bb8a0f7
* Better visibility of the inductive CompSpec used to specify comparison functionsGravatar letouzey2009-11-03
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
* OrderedType implementation for various numerical datatypes + min/max structuresGravatar letouzey2009-11-03
| | | | | | | | | | | | | | | | | | | | | | | | - A richer OrderedTypeFull interface : OrderedType + predicate "le" - Implementations {Nat,N,P,Z,Q}OrderedType.v, also providing "order" tactics - By the way: as suggested by S. Lescuyer, specification of compare is now inductive - GenericMinMax: axiomatisation + properties of min and max out of OrderedTypeFull structures. - MinMax.v, {Z,P,N,Q}minmax.v are specialization of GenericMinMax, with also some domain-specific results, and compatibility layer with already existing results. - Some ML code of plugins had to be adapted, otherwise wrong "eq", "lt" or simimlar constants were found by functions like coq_constant. - Beware of the aliasing problems: for instance eq:=@eq t instead of eq:=@eq M.t in Make_UDT made (r)omega stopped working (Z_as_OT.t instead of Z in statement of Zmax_spec). - Some Morphism declaration are now ambiguous: switch to new syntax anyway. - Misc adaptations of FSets/MSets - Classes/RelationPairs.v: from two relations over A and B, we inspect relations over A*B and their properties in terms of classes. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12461 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
* Init/Tactics.v: tactic with nicer name 'exfalso' for 'elimtype False'Gravatar letouzey2009-10-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12380 85f007b7-540e-0410-9357-904b9bb8a0f7
* Some new lemmas on max and min and a fix for a wrongly stated lemma in r12358.Gravatar herbelin2009-10-04
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12370 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix the stdlib doc compilation + switch all .v file to utf8Gravatar letouzey2009-09-28
| | | | | | | | | | | | | | | | | | | 1) compilation of Library.tex was failing on a "Ext_" in Diaconescu.v In fact coqdoc was trying to recognize the end of a _emphasis_ and hence inserted a bogus }. For the moment I've enclosed the phrase with [ ], but this emphasis "feature" of coqdoc seems _really_ easy to broke. Matthieu ? 2) By the way, this Library document was made from latin1 and utf8 source file, hence bogus characters. All .v containing special characters are converted to utf8, and their first line is now mentionning this. (+ killed some old french comments and some other avoidable special characters). PLEASE: let's stick to this convention and avoid latin1, at least in .v files. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12363 85f007b7-540e-0410-9357-904b9bb8a0f7
* Add a few properties about Rmin/Rmax with replication in Zmin/Zmax.Gravatar herbelin2009-09-27
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12358 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
* Znumtheory + Zdiv enriched with stuff from ZMicromega, misc improvementsGravatar letouzey2009-09-09
| | | | | | | | | | | | Mostly results about Zgcd (commutativity, associativity, ...). Slight improvement of ZMicromega. Beware: some lemmas of Zdiv/ Znumtheory were asking for too strict or useless hypothesis. Some minor glitches may occur. By the way, some iff lemmas about negb in Bool.v git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12313 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fixed extra space in printing notation { x & P } + minor other thingsGravatar herbelin2009-08-11
| | | | | | (shorter proof of O_S in trunk + typo). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12271 85f007b7-540e-0410-9357-904b9bb8a0f7
* OrderedTypeEx.N_as_OT use Nlt, various minor improvements in N/ZArithGravatar letouzey2009-07-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12250 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remove the barely-used/obsolete/undocumented syntax "conditional <tac> rewrite"Gravatar letouzey2009-07-24
| | | | | | | I wonder how many of us were aware of the existence of such syntax ;-) Anyway, it is now subsumed by "rewrite by". git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12248 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Added two new introduction patterns with the following temptative syntaxes:Gravatar herbelin2009-06-07
| | | | | | | | | | | | | | - "*" implements Arthur Charguéraud's "introv" - "**" works as "; intros" (see also "*" in ssreflect). - Simplifying the proof of Z_eq_dec, as suggested by Frédéric Blanqui. - Shy attempt to seize the opportunity to clean Zarith_dec but Coq's library is really going anarchically (see a summary of the various formulations of total order, dichotomy of order and decidability of equality and in stdlib-project.tex in branch V8revised-theories). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12171 85f007b7-540e-0410-9357-904b9bb8a0f7
* adds a theorem to reason at the level of ZGravatar bertot2009-05-07
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12119 85f007b7-540e-0410-9357-904b9bb8a0f7
* Some additions in Max and Zmax. Unifiying list of statements and namesGravatar herbelin2009-04-14
| | | | | | | | in both files. Late update of CHANGES wrt classical Tauto. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12084 85f007b7-540e-0410-9357-904b9bb8a0f7
* ZArith/Int: no need to load romega here (but rather in FullAVL)Gravatar letouzey2009-03-28
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12027 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Added support for subterm matching in SearchAbout.Gravatar herbelin2008-12-29
| | | | | | | | | | | | | - Backtrack on precise unfolding of "iff" in "tauto": it has effects on the naming of hypotheses (especially when doing "case H" with H of type "{x|P<->Q}" since not unfolding will eventually introduce a name "i" while unfolding will eventually introduce a name "a" (deep sigh). - Miscellaneous (error when a plugin is missing, doc hnf, standardization of names manipulating type constr_pattern, ...). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11725 85f007b7-540e-0410-9357-904b9bb8a0f7
* Zdiv: eqm (equality modulo some N) can now be declared as Parametric RelationGravatar letouzey2008-10-20
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11476 85f007b7-540e-0410-9357-904b9bb8a0f7
* Tauto breaking not only binary "conjunctions" seems like a bad ideaGravatar msozeau2008-07-24
| | | | | | | after all... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11259 85f007b7-540e-0410-9357-904b9bb8a0f7
* Oops... forgot some debug code.Gravatar msozeau2008-07-23
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11247 85f007b7-540e-0410-9357-904b9bb8a0f7
* A try at allowing matching on applications as a binary syntax node by default.Gravatar msozeau2008-07-22
| | | | | | | | | | | It breaks tauto as [?X _ _] matches much more terms. It is mostly fixed by not destructing objects of record types. The new [intuition] was also pulling an unneeded dependency in Field_theory which can be cleared easily. Zis_gcd_bezout is also considered a conjunction now, which seems correct(?). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11243 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix bug #1899: no more strange notations for Qge and QgtGravatar letouzey2008-07-04
| | | | | | | | | | | | | | In fact, Qge and Ggt disappear, and we only leave notations for > and >= that map directly to Qlt and Qle. We also adopt the same approach for BigN, BigZ, BigQ. By the way, various clean-up concerning Zeq_bool, Zle_bool and similar functions for Q. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11205 85f007b7-540e-0410-9357-904b9bb8a0f7
* Zpow_facts.Zmult_power: kills a useless hypothesisGravatar letouzey2008-06-11
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11098 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
* - Modification de la déf de minus et pred conformément aux remarques deGravatar herbelin2008-05-28
| | | | | | | | | | | Assia et Benjamin W. de telle sorte qu'ils respectent le critère de décroissance structurelle lorsqu'utilisés dans un point-fixe. - Ajout des noms "standard" des lemmes de Peano et correction d'un nom de BinInt. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11015 85f007b7-540e-0410-9357-904b9bb8a0f7
* Cyclic31: migrate auxiliary lemmas to their legitimate filesGravatar letouzey2008-05-27
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10999 85f007b7-540e-0410-9357-904b9bb8a0f7
* Cyclic31 : proof of the spec of gcd31Gravatar letouzey2008-05-27
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10997 85f007b7-540e-0410-9357-904b9bb8a0f7
* switch theories/Numbers from Set to Type (both the abstract and the bignum ↵Gravatar letouzey2008-05-22
| | | | | | part). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10964 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Changement du code de Zplus pour accomoder ring qui sinon prend uneGravatar herbelin2008-05-11
| | | | | | | | | | | | | | | complexité exponentielle dans la machine lazy depuis que l'algo de compilation du filtrage évite systématiquement d'expanser quand le filtrage n'est pas dépendant. - Un peu plus de colorisation dans coqide. - Utilisation de formats pour améliorer de l'affichage des notations Utf8. - Systématisation paire Local/Global dans g_vernac.ml4 (même si le défaut n'est pas toujours le même) - Bug Makefile git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10918 85f007b7-540e-0410-9357-904b9bb8a0f7
* Backtrack on using metas eagerly in auto, only done in "new auto" forGravatar msozeau2008-04-28
| | | | | | | | now. Fix proof scripts that failed correspondingly. Should make many contribs compile again... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10863 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Fix bug in unification not taking into account the right metaGravatar msozeau2008-04-27
| | | | | | | | | | | | | substitution. Makes unification succeed a bit more often, hence auto works better in some cases. - Backtrack the changes of auto using Hint Unfold to do more delta and add a new tactic "new auto" which does that, for compatibility. The first fix may have a big impact on the contribs, whereas the second should make them compile again... we'll see. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10855 85f007b7-540e-0410-9357-904b9bb8a0f7
* Correction du bug 1816 (ajout d'un lemme dans Znat) et suppressionGravatar notin2008-03-28
| | | | | | | | d'un test non significatif git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10726 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix bugs that were reopened due to the change of setoidGravatar msozeau2008-03-08
| | | | | | | | | | | | | | | | | | implementation. Mostly syntax changes when declaring parametric relations, but also some declarations were relying on "default" relations on some carrier. Added a new DefaultRelation type class that allows to do that, falling back to the last declared Equivalence relation by default. This will be bound to Add Relation in the next commit. Also, move the "left" and "right" notations in Program.Utils to "in_left" and "in_right" to avoid clashes with existing scripts. Minor change to record to allow choosing the name of the argument for the record in projections to avoid possible incompatibilities. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10639 85f007b7-540e-0410-9357-904b9bb8a0f7
* Plug the new setoid implemtation in, leaving the original one commentedGravatar msozeau2008-03-06
| | | | | | | | | | | | | | | | | | | | out. The semantics of the old setoid are faithfully simulated by the new tactic, hence no scripts involving rewrite are modified. However, parametric morphism declarations need to be changed, but there are only a few in the standard library, notably in FSets. The declaration and the introduction of variables in the script need to be tweaked a bit, otherwise the proofs remain unchanged. Some fragile scripts not introducting their variable names explicitely were broken. Requiring Setoid requires Program.Basics which sets stronger implicit arguments on some constants, a few scripts benefit from that. Ring/field have been ported but do not really use the new typeclass architecture as well as they could. Performance should be mostly unchanged, but will certainly improve in the near future. Size of the vo's seems not to have changed at all. It will certainly break some contribs using Setoid. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10631 85f007b7-540e-0410-9357-904b9bb8a0f7
* one more substitution s/Set/Type/Gravatar letouzey2008-03-04
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10617 85f007b7-540e-0410-9357-904b9bb8a0f7
* Proposal of a nice notation for constructors xI and xO of type positiveGravatar letouzey2008-02-10
| | | | | | | | More details in the header of BinPos.v git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10547 85f007b7-540e-0410-9357-904b9bb8a0f7
* one forgotten compatibility lemmaGravatar letouzey2008-02-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10526 85f007b7-540e-0410-9357-904b9bb8a0f7
* Keep the Z_scope local to this file.Gravatar roconnor2008-01-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10471 85f007b7-540e-0410-9357-904b9bb8a0f7
* Adding Zdiv_le_compat_lGravatar thery2008-01-22
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10461 85f007b7-540e-0410-9357-904b9bb8a0f7
* A result about Zsgn(a/b), both for Zdiv and ZOdivGravatar letouzey2007-11-10
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10313 85f007b7-540e-0410-9357-904b9bb8a0f7
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