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path: root/theories/Reals/Ranalysis4.v
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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
2018-02-27Update headers following #6543.Théo Zimmermann
2017-07-04Bump year in headers.Pierre-Marie Pédrot
2017-03-22Simplify some proofs using ring and field.Guillaume Melquiond
2016-01-20Update copyright headers.Maxime Dénès
2015-01-12Update headers.Maxime Dénès
2014-09-23adds general facts in the Reals library, whose need was detected inYves Bertot
experiments about computing PI
2014-06-04Make standard library independent of the names generated byHugo Herbelin
induction/elim over a dependent elimination principle for Prop arguments.
2014-06-01Making those proofs which depend on names generated for the argumentsHugo Herbelin
in Prop of constructors of inductive types independent of these names. Incidentally upgraded/simplified a couple of proofs, mainly in Reals. This prepares to the next commit about using names based on H for such hypotheses in Prop.
2013-12-03Fix statement of Rplus_lt_reg_r and add Rplus_lt_reg_l.Guillaume Melquiond
2012-08-08Updating headers.herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-07-05Kills the useless tactic annotations "in |- *"letouzey
Most of these heavyweight annotations were introduced a long time ago by the automatic 7.x -> 8.0 translator git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15518 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-07-05Open Local Scope ---> Local Open Scope, same with Notation and aliiletouzey
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15517 85f007b7-540e-0410-9357-904b9bb8a0f7
2012-06-11finish the rearrangement for removing the sin_PI2 axiom. This new versionbertot
- provides the atan function - shows that this function is equal between -1 and 1 to a function defined with power series - establishes the equality with the PI value as given by the alternated series constructed with PI_tg - provides a smarter theorem to compute approximations of PI, based on a formula in the same family as the one used by John Machin in 1706 Dependencies between files have been rearranged so that the new theorems are loaded with the library Reals. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15429 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
2010-04-29Remove 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
2009-09-17Delete 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
2008-03-23Une passe sur les réels:herbelin
- Renommage de Rlt_not_le de Fourier_util en Rlt_not_le_frac_opp pour éviter la confusion avec le Rlt_not_le de RIneq. - Quelques variantes de lemmes en plus dans RIneq. - Déplacement des énoncés de sigT dans sig (y compris la complétude) et utilisation de la notation { l:R | }. - Suppression hypothèse inutile de ln_exists1. - Ajout notation ² pour Rsqr. Au passage: - Déplacement de dec_inh_nat_subset_has_unique_least_element de ChoiceFacts vers Wf_nat. - Correction de l'espace en trop dans les notations de Specif.v liées à "&". - MAJ fichier CHANGES Note: il reste un axiome dans Ranalysis (raison technique: Ltac ne sait pas manipuler un terme ouvert) et dans Rtrigo.v ("sin PI/2 = 1" non prouvé). git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10710 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-10-17Mise en forme des theoriesnotin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9245 85f007b7-540e-0410-9357-904b9bb8a0f7
2006-03-28Nommage explicite de certains "intro" pour préserver la compatibilitéherbelin
en préparation du passage à des inductifs à polymorphisme de sorte ("sigT R" va devenir de type le type de R, càd Set) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8670 85f007b7-540e-0410-9357-904b9bb8a0f7
2004-07-16Nouvelle en-têteherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-11-29Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states ↵herbelin
par les fichiers nouvelle syntaxe git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-04-12Open Scope en Localherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3917 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-04-10Remplacement Import par Open Scope en v8herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3909 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-04-09Suppression de l'étage "Import nat/Z/R_scope". "Open Scope" remplace "Import".herbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3877 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-03-12*** empty log message ***barras
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3761 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-01-16Renommage de RealsB en Rbasedesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3508 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-11-27Réorganisation de la librairie des réelsdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3311 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-31MAJ pour Exp_propdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2946 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-29MAJ pour Rtrigo_regdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2934 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-22Quelques ameliorations dans Regdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2907 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-19Regularites de pow et des sommes finies / MAJ Regdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2904 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-19Resultats de regularite de Rabsolu / MAJ de Regdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2903 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-18Correction d'un bug dans IsCont_ptdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2899 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-18MAJ pour Sqrt_regdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2898 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-07-16*** empty log message ***desmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2879 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-06-21Suppression de l'axiome d'extensionnalitedesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2803 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-06-17Prise en compte de exp, cosh et sinhdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2791 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-06-11*** empty log message ***desmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2776 85f007b7-540e-0410-9357-904b9bb8a0f7
2002-06-11Ranalysis.vdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2774 85f007b7-540e-0410-9357-904b9bb8a0f7