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path: root/theories/Numbers/NatInt/NZOrder.v
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2020-08-25Modify Numbers/NatInt/NZOrder.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
2019-01-23Pass some files to strict focusing mode.Gaëtan Gilbert
ie default goal selector ! How to do this: - change the default value of default goal selector in goal_select.ml - eval the emacs code in this commit message - compile Coq and in each erroring file repeatedly run [C-c f] (my/maybe-fix-buller-error) then [C-c C-b] (proof-process-buffer) until there are no errors (NB the first [C-c f] has no effect). You need to watch for 2 cases: - overly deep proofs where the bullets need to go beyond the list in my/bullet-stack (6 layers is enough the vast majority of the time though). The system will give you an error and you need to finish the lemma manually. - weird indentation when a bullet starts in the middle of a line and doesn't end in that line. Just reindent as you like then go to the next error and continue. ~~~emacs-lisp (defconst my/bullet-stack (list "-" "+" "*" "--" "++" "**") "Which bullets should be used, in order.") (defvar-local my/bullet-count nil "The value in the car indicates how many goals remain in the bullet at (length-1), and so on recursively. nil means we haven't started bulleting the current proof.") (defvar-local my/last-seen-qed nil) (defun my/get-maybe-bullet-error () "Extract the number of focused goals from the ! selector error message." (when-let* ((rbuf (get-buffer "*response*")) (str (with-current-buffer "*response*" (buffer-string))) (_ (string-match (rx "Error: Expected a single focused goal but " (group (+ digit))) str)) (ngoals (string-to-number (match-string 1 str)))) ngoals)) (defun my/bullet-fix-indent () "Auto indent until the next Qed/Defined, and update my/last-seen-qed." ;; (insert (format "(* %s -> %s *)\n" my/prev-count my/bullet-count)) (when-let ((qed (save-excursion (search-forward-regexp (rx (or "Defined." "Qed.")) nil t)))) (set-marker my/last-seen-qed qed) (indent-region (- (point) 1) qed))) (defun my/nth-bullet (n) "Get nth bullet, erroring if n >= length my/bullet-stack" (or (nth n my/bullet-stack) (error "Too many bullets."))) (defun my/maybe-fix-bullet-error (&optional arg) "Main function for porting a file to strict focusing. Repeatedly process your file in proof general until you get a focusing error, then run this function. Once there are no more errors you're done. Indentation commonly looks bad in the middle of fixing a proof, but will be fixed unless you start a bullet in the middle of a line and don't finish it in that line. ie in 'tac1. - tac2.\n tac3.' tac3 will get indented to align with tac2, but if tac2 finished the bullet the next action will reindent. This is a stateful process. The state is automatically reset when you get to the next proof, but if you get an error or take manual action which breaks the algorithm's expectation you can call with prefix argument to reset." (interactive "P") (unless my/last-seen-qed (setq my/last-seen-qed (set-marker (make-marker) 0))) (when (or arg (> (point) my/last-seen-qed)) (setq my/bullet-count nil) (set-marker my/last-seen-qed 0)) (when-let ((ngoals (my/get-maybe-bullet-error))) (setq my/prev-count (format "%s %s" ngoals my/bullet-count)) (if (= ngoals 0) (progn (while (and my/bullet-count (= (car my/bullet-count) 0)) (pop my/bullet-count)) (insert (concat (my/nth-bullet (- (length my/bullet-count) 1)) " ")) (setq my/bullet-count (cons (- (car my/bullet-count) 1) (cdr my/bullet-count))) (my/bullet-fix-indent)) (setq my/bullet-count (cons (- ngoals 1) my/bullet-count)) (insert (concat (my/nth-bullet (- (length my/bullet-count) 1)) " ")) (my/bullet-fix-indent)))) (bind-key "C-c f" #'my/maybe-fix-bullet-error coq-mode-map) ~~~
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
2013-02-13make validate repaired via a temporary fix for #2949letouzey
The offending functor in NZOrder wasn't actually used, so I've commented it for now. Btw, the Not_found in coqchk is now turned into something slightly more informative git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16199 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-12-18Rework of GenericMinMax and OrdersTac (helps extraction, cf. #2904)letouzey
Inner sub-modules with "Definition t := t" is hard to handle by extraction: "type t = t" is recursive by default in OCaml, and the aliased t cannot easily be fully qualified if it comes from a higher unterminated module. There already exists some workarounds (generating Coq__XXX modules), but this isn't playing nicely with module types, where it's hard to insert code without breaking subtyping. To avoid falling too often in this situation, I've reorganized: - GenericMinMax : we do not try anymore to deduce facts about min by saying "min is a max on the reversed order". This hack was anyway not so nice, some code was duplicated nonetheless (at least statements), and the module structure was complex. - OrdersTac : by splitting the functor argument in two (EqLtLe <+ IsTotalOrder instead of TotalOrder), we avoid the need for aliasing the type t, cf NZOrder. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16100 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-08-08Updating headers.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
2011-08-11SearchAbout and similar: add a customizable blacklistletouzey
Instead of hard-coding in search.ml some substrings such as "_admitted" or "_subproof" we don't want to see in results of SearchAbout and co, we now have a user command: Add Search Blacklist "foo". Remove Search Blacklist "foo". (* the opposite *) Print Table Search Blacklist. (* the current state *) In Prelude.v, three substrings are blacklisted originally: - "_admitted" for internal lemmas due to admit. - "_subproof" for internal lemmas due to abstract. - "Private_" for hiding auxiliary modules not meant for global usage. Note that substrings are searched in the fully qualified names of the available lemmas (e.g. "Coq.Init.Peano.plus"). This commit also adds the prefix "Private_" to some internal modules in Numbers, Z, N, etc. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14408 85f007b7-540e-0410-9357-904b9bb8a0f7
2011-01-03Numbers: some improvements in proofsletouzey
- a ltac solve_proper which generalizes solve_predicate_wd and co - using le_elim is nicer that (apply le_lteq; destruct ...) - "apply ->" can now be "apply" most of the time. Benefit: NumPrelude is now almost empty git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13762 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-10-19Add sqrt in Numbersletouzey
As for power recently, we add a specification in NZ,N,Z, derived properties, implementations for nat, N, Z, BigN, BigZ. - For nat, this sqrt is brand new :-), cf NPeano.v - For Z, we rework what was in Zsqrt: same algorithm, no more refine but a pure function, based now on a sqrt for positive, from which we derive a Nsqrt and a Zsqrt. For the moment, the old Zsqrt.v file is kept as Zsqrt_compat.v. It is not loaded by default by Require ZArith. New definitions are now in Psqrt.v, Zsqrt_def.v and Nsqrt_def.v - For BigN, BigZ, we changed the specifications to refer to Zsqrt instead of using characteristic inequations. On the way, many extensions, in particular BinPos (lemmas about order), NZMulOrder (results about squares) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13564 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-10-14Numbers : also axiomatize constants 1 and 2.letouzey
Initially, I was using notation 1 := (S 0) and so on. But then, when implementing by NArith or ZArith, some lemmas statements were filled with Nsucc's and Zsucc's instead of 1 and 2's. Concerning BigN, things are rather complicated: zero, one, two aren't inlined during the functor application creating BigN. This is deliberate, at least for the other operations like BigN.add. And anyway, since zero, one, two are defined too early in NMake, we don't have 0%bigN in the body of BigN.zero but something complex that reduce to 0%bigN, same for one and two. Fortunately, apply or rewrite of generic lemmas seem to work, even if there's BigZ.zero on one side and 0 on the other... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13555 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-10-14Numbers: new functions pow, even, odd + many reorganisationsletouzey
- Simplification of functor names, e.g. ZFooProp instead of ZFooPropFunct - The axiomatisations of the different fonctions are now in {N,Z}Axioms.v apart for Z division (three separate flavours in there own files). Content of {N,Z}AxiomsSig is extended, old version is {N,Z}AxiomsMiniSig. - In NAxioms, the recursion field isn't that useful, since we axiomatize other functions and not define them (apart in the toy NDefOps.v). We leave recursion there, but in a separate NAxiomsFullSig. - On Z, the pow function is specified to behave as Zpower : a^(-1)=0 - In BigN/BigZ, (power:t->N->t) is now pow_N, while pow is t->t->t These pow could be more clever (we convert 2nd arg to N and use pow_N). Default "^" is now (pow:t->t->t). BigN/BigZ ring is adapted accordingly - In BigN, is_even is now even, its spec is changed to use Zeven_bool. We add an odd. In BigZ, we add even and odd. - In ZBinary (implem of ZAxioms by ZArith), we create an efficient Zpow to implement pow. This Zpow should replace the current linear Zpower someday. - In NPeano (implem of NAxioms by Arith), we create pow, even, odd functions, and we modify the div and mod functions for them to be linear, structural, tail-recursive. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13546 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
2010-07-18Reverted 13293 commited mistakenly. Sorry for the noise.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13294 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-07-18Tentative de suppression de l'import automatique des hints et coercions.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13293 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
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
2010-01-17Simplification of OrdersTac thanks to the functor application ! with no inlineletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12679 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-14Avoid some more re-declarations of Equivalence instancesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12671 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-08NZAxioms plus a compare allows to build an OrderedTypeletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12642 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
2010-01-07Include can accept both Module and Module Typeletouzey
Syntax Include Type is still active, but deprecated, and triggers a warning. The syntax M <+ M' <+ M'', which performs internally an Include, also benefits from this: M, M', M'' can be independantly modules or module type. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12640 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-01-07Numbers: separation of funs, notations, axioms. Notations via module, ↵letouzey
without scope. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12639 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
2009-12-10NZDomain: investigation of the shape of NZ domain, more results about ↵letouzey
ofnat:nat->NZ.t git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12575 85f007b7-540e-0410-9357-904b9bb8a0f7
2009-11-18Diamond-shape instead of linear hiearchy in Numbers/NatIntletouzey
NZBase -- NZAdd -- NZMul | | NZOrder ---------- NZAddOrder -- NZMulOrder -- NZProperties This is done by transforming NZBase into a functorial module type, and making NZAdd NZMul NZOrder accept an instance of NZBase as parameter. This is possible thanks to a combination of various new features of modules: - interactive proofs in module type (ie functors can be turned into type functors) - Include Type in Module (ie type functors can be turned into functors) - Include Self, <+ , etc, etc... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12534 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
2009-11-06Numbers: more (syntactic) changes toward new style of type classesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12475 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
2008-12-12Uniformity with the rest of the StdLib : _symm --> _symletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11675 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-06-03In abstract parts of theories/Numbers, plus/times becomes add/mul, letouzey
for increased consistency with bignums parts (commit part II: names of files + additional translation minus --> sub) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11040 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
2008-05-15Coq headers + $ in theories/Numbers filesletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10934 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-03-07Fix bug #1704 (ordering of condition goals for (setoid)rewrite). As partmsozeau
of the fix I added an optional "by" annotation for rewrite to solve said conditions in the same tactic call. Most of the theories have been updated, only FSets is missing, Pierre will take care of it. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10634 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-03-06Plug the new setoid implemtation in, leaving the original one commentedmsozeau
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
2007-11-22An update on Numbers. Added two files dealing with recursion, for ↵emakarov
information only. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10330 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-16Added theorems; created NZPlusOrder from NTimesOrder.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10325 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-14Update on Numbers; renamed ZOrder.v to ZLt to remove clash with ↵emakarov
ZArith/Zorder on MacOS. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10323 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-08Moved several lemmas from theories/Numbers/NumPrelude to theories/Init/Logic.emakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10304 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-07Replaced BinNat with a new version that is based on ↵emakarov
theories/Numbers/Natural/Binary/NBinDefs. Most of the entities in the new BinNat are notations for the development in Numbers. Also added min and max to the new natural numbers and integers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10298 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-11-03An update of theories/Numbersemakarov
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10285 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-23Added Numbers/Natural/Abstract/NIso.v that proves that any two models of ↵emakarov
natural numbers are isomorphic. Added NatScope and IntScope for abstract developments. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10247 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-16Added transitivity and irreflexivity of <, as well as < -elimination for ↵emakarov
binary positive numbers. Added directory contribs/micromega with the generalization of Frédéric Besson's micromega tactic for an arbitrary ordered ring. So far no tactic has been defined. One has to apply the theorems and find the certificate, which is necessary to solve inequations, manually. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10226 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-10-01Added the compilation of theories/Numbers to Makefile.common. The following ↵emakarov
things compile: abstract natural numbers and integers with plus, times, minus, and order; Peano and binary implementations for natural numbers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10161 85f007b7-540e-0410-9357-904b9bb8a0f7
2007-09-21Update on theories/Numbers. Natural numbers are mostly complete,emakarov
need to make NZOrdAxiomsSig a subtype of NAxiomsSig. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10132 85f007b7-540e-0410-9357-904b9bb8a0f7