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2010-02-10Euclidean division for NArithletouzey
There was already a Ndiv and Nmod, but hiddent in ZOdiv_def. We higlight it by putting it in a separate file, prove its specification without using Z (but for the moment can't avoid a detour via nat, though), and then instantiate general results from Natural/Abstract/NDiv git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12726 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-02-09Numbers: properties of min/max with respect to 0,S,P,add,sub,mulletouzey
With these properties, we can kill Arith/MinMax, NArith/Nminmax, and leave ZArith/Zminmax as a compatibility file only. Now the instanciations NPeano.Nat, NBinary.N, ZBinary.Z, BigZ, BigN contains all theses facts. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12718 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-02-09ZBinary (impl of Numbers via Z) reworked, comes earlier, subsumes ZOrderedTypeletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12714 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-17BigN, BigZ, BigQ: presentation via unique module with both ops and propsletouzey
We use the <+ operation to regroup all known facts about BigN (resp BigZ, ...) in a unique module. This uses also the new ! feature for controling inlining. By the way, we also make sure that these new BigN and BigZ modules implements OrderedTypeFull and TotalOrder, and also contains facts about min and max (cf. GenericMinMax). Side effects: - In NSig and ZSig, specification of compare and eq_bool is now done with respect to Zcompare and Zeq_bool, as for other ops. The order <= and < are also defined via Zle and Zlt, instead of using compare. Min and max are axiomatized instead of being macros. - Some proofs rework in QMake - QOrderedType and Qminmax were in fact not compiled by make world Still todo: OrderedType + MinMax for BigQ, etc etc git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12680 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-14Rename Zbinary into Zdigit in order to avoid confusion with ↵letouzey
Numbers/.../ZBinary.v git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12670 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-11Support "Local Obligation Tactic" (now the default in sections).msozeau
Update Numbers that was implicitely using [simpl_relation] instead of the default tactic [program_simpl]. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12647 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-07Nicer names: DecidableType2* --> Equalities*, OrderedType2* --> Orders*letouzey
Old stuff DecidableType.v and OrderedType.v stay there and keep their names for the moment, for compatibility. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12641 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-07Rework of GenericMinMax: new axiomatic, split logical/decidable parts, ↵letouzey
Leibniz part Moreover, instantiation like MinMax are now made without redefining generic properties (easier maintenance). We start using inner modules for qualifying (e.g. Z.max_comm). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12638 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-07OrderTac: use TotalOrder, no more "change" before calling "order" (stuff ↵letouzey
with Inline) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12636 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-05Numbers abstract layer: more Module Type, used especially for divisions.letouzey
Properties are now rather passed as functor arg instead of via Include or some inner modules. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12629 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-05Zdiv seen as a quasi-instantation of generic ZDivFloor from theories/Numbersletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12627 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-12-17ZOdiv: fully use generic properties from ZDivTrunc.vletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12596 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-12-17Reverse order of arguments in min_case_strong for better uniformity (and ↵letouzey
compatibility...) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12595 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-12-17Division in Numbers : more properties, new filenames based on a paper by R. ↵letouzey
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
2009-12-16Division in Numbers: more properties proved (still W.I.P.)letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12591 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-12-15A generic euclidean division in Numbers (Still Work-In-Progress)letouzey
- 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
2009-12-09Factorisation between Makefile and ocamlbuild systems : .vo to compile are ↵letouzey
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
2009-11-16Taking advantage of the new "Include Self Type" in DecidableType2 and NZAxiomsletouzey
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
2009-11-10Simplification of Numbers, mainly thanks to Includeletouzey
- 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
2009-11-10DecidableType: A specification via boolean equality as an alternative to eq_decletouzey
+ 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
2009-11-03Better visibility of the inductive CompSpec used to specify comparison functionsletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12462 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-11-03OrderedType implementation for various numerical datatypes + min/max structuresletouzey
- 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
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
2009-10-08Init/Tactics.v: tactic with nicer name 'exfalso' for 'elimtype False'letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12380 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-10-04Some new lemmas on max and min and a fix for a wrongly stated lemma in r12358.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12370 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-09-28Fix the stdlib doc compilation + switch all .v file to utf8letouzey
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
2009-09-27Add a few properties about Rmin/Rmax with replication in Zmin/Zmax.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12358 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
2009-09-09Znumtheory + Zdiv enriched with stuff from ZMicromega, misc improvementsletouzey
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
2009-08-11Fixed extra space in printing notation { x & P } + minor other thingsherbelin
(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
2009-07-24OrderedTypeEx.N_as_OT use Nlt, various minor improvements in N/ZArithletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12250 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-07-24Remove the barely-used/obsolete/undocumented syntax "conditional <tac> rewrite"letouzey
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
2009-06-07- Added two new introduction patterns with the following temptative syntaxes:herbelin
- "*" 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
2009-05-07adds a theorem to reason at the level of Zbertot
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12119 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-04-14Some additions in Max and Zmax. Unifiying list of statements and namesherbelin
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
2009-03-28ZArith/Int: no need to load romega here (but rather in FullAVL)letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12027 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-12-29- Added support for subterm matching in SearchAbout.herbelin
- 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
2008-10-20Zdiv: eqm (equality modulo some N) can now be declared as Parametric Relationletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11476 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-07-24Tauto breaking not only binary "conjunctions" seems like a bad ideamsozeau
after all... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11259 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-07-23Oops... forgot some debug code.msozeau
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11247 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-07-22A try at allowing matching on applications as a binary syntax node by default.msozeau
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
2008-07-04Fix bug #1899: no more strange notations for Qge and Qgtletouzey
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
2008-06-11Zpow_facts.Zmult_power: kills a useless hypothesisletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11098 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-06-08- Extension de "generalize" en "generalize c as id at occs".herbelin
- 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
2008-05-28- Modification de la déf de minus et pred conformément aux remarques deherbelin
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
2008-05-27Cyclic31: migrate auxiliary lemmas to their legitimate filesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10999 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-27Cyclic31 : proof of the spec of gcd31letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10997 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-22switch theories/Numbers from Set to Type (both the abstract and the bignum ↵letouzey
part). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10964 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-05-11- Changement du code de Zplus pour accomoder ring qui sinon prend uneherbelin
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
2008-04-28Backtrack on using metas eagerly in auto, only done in "new auto" formsozeau
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
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