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path: root/theories/FSets/FSetProperties.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.
2020-03-19[stdlib] Remove a few `auto with *`Vincent Laporte
2020-03-18Update headers in the whole code base.Théo Zimmermann
Add headers to a few files which were missing them.
2019-10-04[Stdlib] OrderedType: do not pollute the “core” hint databaseVincent Laporte
2019-06-17Update ml-style headers to new year.Théo Zimmermann
2019-04-01Several improvements and fixes of LiaFrédéric Besson
- Improved reification for Micromega (support for #8764) - Fixes #9268: Do not take universes into account in lia reification Improve #9291 by threading the evar_map during reification. Universes are unified. - Remove (potentially cyclic) dependency over lra for Rle_abs - Towards a complete simplex-based lia fixes #9615 Lia is now exclusively using cutting plane proofs. For this to always work, all the variables need to be positive. Therefore, lia is pre-processing the goal for each variable x it introduces the constraints x = y - z , y>=0 , z >= 0 for some fresh variable y and z. For scalability, nia is currently NOT performing this pre-processing. - Lia is using the FSet library manual merge of commit #230899e87c51c12b2f21b6fedc414d099a1425e4 to work around a "leaked" hint breaking compatibility of eauto
2018-11-14Deprecate hint declaration/removal with no specified databaseMaxime Dénès
Previously, hints added without a specified database where implicitly put in the "core" database, which was discouraged by the user manual (because of the lack of modularity of this approach).
2018-02-27Update headers following #6543.Théo Zimmermann
2017-10-05[ltac] Warning for deprecated `Add Setoid` and `Add Morphism` forms.Emilio Jesus Gallego Arias
The manual has long stated that these forms are deprecated. We add a warning for them, as indeed `Add Morphism` is an "proof evil" [*] command, and we may want to remove it in the future. We've also fixed the stdlib not to emit the warning. [*] https://ncatlab.org/nlab/show/principle+of+equivalence
2012-07-05ZArith + other : favor the use of modern names instead of compat notationsletouzey
- For instance, refl_equal --> eq_refl - Npos, Zpos, Zneg now admit more uniform qualified aliases N.pos, Z.pos, Z.neg. - A new module BinInt.Pos2Z with results about injections from positive to Z - A result about Z.pow pushed in the generic layer - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l} - Using tactic Z.le_elim instead of Zle_lt_or_eq - Some cleanup in ring, field, micromega (use of "Equivalence", "Proper" ...) - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp) - In ZMake and ZMake, functor parameters are now named NN and ZZ instead of N and Z for avoiding confusions git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-05-15Intuition: temporary(?) restore the unconditional unfolding of notletouzey
Let's check tomorrow the impact on contribs: are the recent build failures related to the "not" unfolding stategy or to the new handling of conjonction-like constructors ? git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15330 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-04-15Fixing tauto "special" behavior on singleton types w/ 2 parameters (bug #2680).herbelin
- tauto/intuition now works uniformly on and, prod, or, sum, False, Empty_set, unit, True (and isomorphic copies of them), iff, ->, and on all inhabited singleton types with a no-arguments constructor such as "eq t t" (even though the last case goes out of propositional logic: this features is so often used that it is difficult to come back on it). - New dtauto and dintuition works on all inductive types with one constructors and no real arguments (for instance, they work on records such as "Equivalence"), in addition to -> and eq-like types. - Moreover, both of them no longer unfold inner negations (this is a souce of incompatibility for intuition and evaluation of the level of incompatibility on contribs still needs to be done). Incidentally, and amazingly, fixing bug #2680 made that constants InfA_compat and InfA_eqA in SetoidList.v lost one argument: old tauto had indeed destructed a section hypothesis "@StrictOrder A ltA@ thinking it was a conjunction, making this section hypothesis artificially necessary while it was not. Renouncing to the unfolding of inner negations made auto/eauto sometimes succeeding more, sometimes succeeding less. There is by the way a (standard) problem with not in auto/eauto: even when given as an "unfold hint", it works only in goals, not in hypotheses, so that auto is not able to solve something like "forall P, (forall x, ~ P x) -> P 0 -> False". Should we automatically add a lemma of type "HYPS -> A -> False" in the hint database everytime a lemma ""HYPS -> ~A" is declared (and "unfold not" is a hint), and similarly for all unfold hints? At this occasion, also re-did some proofs of Znumtheory. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15180 85f007b7-540e-0410-9357-904b9bb8a0f7
2011-10-14MSet/FSet/FMap : add more explicitly an alternative spec for fold via fold_rightletouzey
In fact, this formula "fold ... = fold_right ... (rev (elements))" was already frequently used, but without ever stating it explicitely. Instead, we were always chaining two rewrites each time. Thanks to A. Appel for mentionning this question of fold_right vs. fold_left in the spec of fold. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14561 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
2009-10-19Merge SetoidList2 into SetoidList.letouzey
This file contains low-level stuff for FSets/FMaps. Switching it to the new version (the one using Equivalence and so on instead of eq_refl/eq_sym/eq_trans and so on) only leads to a few changes in FSets/FMaps that are minor and probably invisible to standard users. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12400 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
2009-06-22made several occurrences of (eapply ...; eauto) not rely on the lack of ↵barras
pattern unification git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12202 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-12-26FMaps: various updates (mostly suggested by P. Casteran)letouzey
- New functions: update (a kind of union), restrict (a kind of inter), diff. - New predicat Partition (and Disjoint), many results about Partition. - Equivalence instead of obsolete Setoid_Theory (they are aliases). refl_st, sym_st, trans_st aren't used anymore and marked as obsolete. - Start using Morphism (E.eq==>...) instead of compat_... This change (FMaps only) is incompatible with 8.2betaX, but it's really better now. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11718 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-12-22FMap: fold_rec + more permissive transpose hyp + various cleanupletouzey
The induction principles for fold are due to S. Lescuyer The better transpose hyp is a suggestion by P. Casteran git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11711 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-12-18FSets: integration of suggestions by P. Casteran and S. Lescuyerletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11698 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-12-17FSet/OrderedType now includes an eq_dec, and hence become an extension of ↵letouzey
DecidableType After lots of hesitations, OrderedType now requires this "eq_dec" field, which is redundant (can be deduced from "compare"), but allows the subtyping relation DecidableType <= OrderedType, and hence WS <= S : ordered sets are now truly extensions of weak sets. Of course this change introduces a last-minute incompatibility, but: - There is a clear gain in term of functionnality / simplicity. - FSets 8.2 already needs some adaptations when compared with 8.1, so it's the right time to push such incompatible changes. - Transition shouldn't be too hard: the old OrderedType still exists under the name MiniOrderedType, and functor MOT_to_OT allows to convert from one to the other. Beware, for a FSetInterface.WS (resp. S) to be coercible to a DecidableType (resp. OrderedType), an eq_dec on sets is now required in these interfaces and in the implementations. In pratice, it is really easy to build from equal and equal_1 and equal_2. Some name changes : in FSetFacts, old WFacts now correspond to WFacts_fun, while WFacts now expects only one argument (WFacts M := WFacts_fun M.E M). Idem with WDecide, WProperties and WEqProperties. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11693 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-06-06avoid duplicated creation of WFacts instancesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11064 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-03-07repair FSets/FMap after the change in setoid rewriteletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10636 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-03-04migration from Set to Type of FSet/FMap + some dependencies...letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10616 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-02-28cardinal is promoted to the rank of primitive member of the FMap interfaceletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10605 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-02-28Nicer third spec of choose. letouzey
The old version is now a properties in FSetProperties.OrdProperties git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10601 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-02-04Reorganization of FSet+FMap : no more files specific to Weak Sets/Mapsletouzey
Thanks to Elie's work and especially "Include Type ...", full sets can be simply expressed as extensions of weak sets. Moreover, Facts and Properties functors can be factorized almost completely. As a result, things like FSetWeakAAA.BBB can now be found as FSetAAA.WBBB, Same with maps / weak maps ... No backward compatibility intended for weak sets / maps, but porting scripts should mostly amounts to name changes (see above). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10505 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-02-02factorization part II (Properties + EqProperties), inclusion of FSetDecide ↵letouzey
(from A. Bohannon) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10500 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-01-04more user-friendly versions of some properties lemmas in FSets/FMapletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10420 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-06small tactics "swap" and "absurd_hyp" are now obsolete: "contradict" is letouzey
more general. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10295 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-29Revision of the FSetWeak Interface, so that it becomes a precise letouzey
subtype of the FSet Interface (and idem for FMapWeak / FMap). 1) No eq_dec is officially required in FSetWeakInterface.S.E (EqualityType instead of DecidableType). But of course, implementations still needs this eq_dec. 2) elements_3 differs in FSet and FSetWeak (sort vs. nodup). In FSetWeak we rename it into elements_3w, whereas in FSet we artificially add elements_3w along to the original elements_3. Initial steps toward factorization of FSetFacts and FSetWeakFacts, and so on... Even if it's not required, FSetWeakList provides a eq_dec on sets, allowing weak sets of weak sets. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10271 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-21Cleanup attempt of Hints in *Interface.v files.letouzey
See recent discussion in coq-club. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10243 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-27- Extensions of FMap(Weak)Facts: letouzey
fold properties and induction principles for (weak) maps. - Simplification in SetoidList: the two important results fold_right_equivlistA and fold_right_add are now proved without using removeA and hence do not depend anymore on a decidable equality (good for maps and their arbitrary datas). In fact, removeA is not used at all anymore, but I leave it here (mostly), since it can't hurt. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9914 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-26additional properties for FMap (and slight rework of SetoidList and ↵letouzey
FSetProperties) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9908 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-14Rework of FSetProperties, in order to add more easily a Properties functor letouzey
for FMap (for the moment in FMapFacts). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9890 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-08some more properties of fold and elements in FSetPropertiesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9885 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-06-07* For uniformity, FSetAVL uses Implicit Arguments (a bit)letouzey
* Some additionnal properties: - two more induction principles on sets - some results about union, filter, etc - Subset is declared to be a Setoid Relation git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9882 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-05-27As suggested by Pierre Casteran, fold for FSets/FMaps now takes a letouzey
(A:Type) instead of a (A:Set). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9863 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-05-23Changement de précédence de l'argument du by de assert; ↵herbelin
conséquences sur les .v git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8853 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-05-14reparartion d'un petit oubli cassant PrecedenceGraphletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8815 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-05-11Duplication du fichier FSetProperties pour les ensembles Weak. letouzey
Du coup, factorisation d'une partie dans SetoidList. Ajout de lemmes suggeres par Evelyne C. Un oubli dans FSetWeakInterface concernant elements. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8804 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-04-25un lemme de double inclusionletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8732 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-16propriete svn:keywords positionnee a Author Date Id Revision sur l'ensemble ↵letouzey
des fichiers git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8639 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-16utilisation de removeA dans FSetPropertiesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8636 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-15renommage NoRedun vers le plus joli NoDupletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8635 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-15Réparation de FSet (back to 8628)notin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8631 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-15reparation des $letouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8629 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-15Ajout de theories/FSets contenant la partie "light" de FSets et FMap:letouzey
pas d'implementations par AVL, mais celles par lists, ainsi que les foncteurs de proprietes. Au passage, ajout de MoreList (complements de List) et SetoidList (quelques relations sur des listes considerees modulo un eq ou lt non standard. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8628 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-06-24suppression de FSets (redevient une contrib)filliatr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4205 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-06-13changement de spécif du foldletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4159 85f007b7-540e-0410-9357-904b9bb8a0f7