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path: root/theories/Numbers/NatInt/NZMulOrder.v
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2020-08-25Modify Numbers/NatInt/NZMulOrder.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
2012-08-08Updating headers.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
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
2011-06-23Some more cleanup of Zorderletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14234 85f007b7-540e-0410-9357-904b9bb8a0f7
2011-06-20Some migration of results from BinInt to Numbersletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14230 85f007b7-540e-0410-9357-904b9bb8a0f7
2011-01-04f_equiv : a clone of f_equal that handles setoid equivalencesletouzey
For example, if we know that [f] is a morphism for [E1==>E2==>E], then the goal [E (f x y) (f x' y')] will be transformed by [f_equiv] into the subgoals [E1 x x'] and [E2 y y']. This way, we can remove most of the explicit use of the morphism instances in Numbers (lemmas foo_wd for each operator foo). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13763 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
2010-11-18NZLog: we define log2_up, a base-2 logarithm that rounds up instead of down ↵letouzey
as log2 Some more results about log2. Similar results for log2_up. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13648 85f007b7-540e-0410-9357-904b9bb8a0f7
2010-11-02Numbers: misc improvementsletouzey
- Add alternate specifications of pow and sqrt - Slightly more general pow_lt_mono_r - More explicit equivalence of Plog2_Z and log_inf - Nicer proofs in Zpower git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13607 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: 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
2010-01-07Include 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
2009-12-15A 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
2009-11-10Simplification 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
2009-10-08Init/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
2008-06-03In 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