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path: root/theories/Reals/R_sqrt.v
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* Remove fourier pluginGravatar Maxime Dénès2018-07-17
| | | | As stated in the manual, the fourier tactic is subsumed by lra.
* Update headers following #6543.Gravatar Théo Zimmermann2018-02-27
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* Bump year in headers.Gravatar Pierre-Marie Pédrot2017-07-04
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* Change the parser and printer so that they use IZR for real constants.Gravatar Guillaume Melquiond2017-03-22
| | | | | | | | | | | | | | | | | | | | | | There are two main issues. First, (-cst)%R is no longer syntactically equal to (-(cst))%R (though they are still convertible). This breaks some rewriting rules. Second, the ring/field_simplify tactics did not know how to refold real constants. This defect is no longer hidden by the pretty-printer, which makes these tactics almost unusable on goals containing large constants. This commit also modifies the ring/field tactics so that real constant reification is now constant time rather than linear. Note that there is now a bit of code duplication between z_syntax and r_syntax. This should be fixed once plugin interdependencies are supported. Ideally the r_syntax plugin should just disappear by declaring IZR as a coercion. Unfortunately the coercion mechanism is not powerful enough yet, be it for parsing (need the ability for a scope to delegate constant parsing to another scope) or printing (too many visible coercions left).
* Simplify some proofs using ring and field.Gravatar Guillaume Melquiond2017-03-22
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* Update copyright headers.Gravatar Maxime Dénès2016-01-20
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* Update headers.Gravatar Maxime Dénès2015-01-12
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* adds general facts in the Reals library, whose need was detected inGravatar Yves Bertot2014-09-23
| | | | experiments about computing PI
* Making those proofs which depend on names generated for the argumentsGravatar Hugo Herbelin2014-06-01
| | | | | | | | | 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.
* Updating headers.Gravatar herbelin2012-08-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
* Kills the useless tactic annotations "in |- *"Gravatar letouzey2012-07-05
| | | | | | | 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
* Open Local Scope ---> Local Open Scope, same with Notation and aliiGravatar letouzey2012-07-05
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15517 85f007b7-540e-0410-9357-904b9bb8a0f7
* Updated all headers for 8.3 and trunkGravatar herbelin2010-07-24
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13323 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remove the svn-specific $Id$ annotationsGravatar letouzey2010-04-29
| | | | | | | | | | | - 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
* Added alternate versions of existing lemmas on sqrt.Gravatar gmelquio2009-11-02
| | | | | | | | | | | | | | | | Indeed, since sqrt is a total function, most lemmas are true, even for negative inputs. For instance, sqrt_le_1 was 0 <= x -> 0 <= y -> x <= y -> sqrt x <= sqrt y while sqrt_le_1_alt is just x <= y -> sqrt x <= sqrt y. Naming is done by adding _alt suffixes. In an ideal world (Coq 9.0?), these new lemmas should just replace the original ones. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12457 85f007b7-540e-0410-9357-904b9bb8a0f7
* Delete trailing whitespaces in all *.{v,ml*} filesGravatar glondu2009-09-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
* Une passe sur les réels:Gravatar herbelin2008-03-23
| | | | | | | | | | | | | | | | | | | | | | | | - 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
* Mise en forme des theoriesGravatar notin2006-10-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9245 85f007b7-540e-0410-9357-904b9bb8a0f7
* Renommage sqtr_lem_1 (bug 1189)Gravatar notin2006-07-17
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9052 85f007b7-540e-0410-9357-904b9bb8a0f7
* Changement dans les boxed values .Gravatar gregoire2004-11-12
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6295 85f007b7-540e-0410-9357-904b9bb8a0f7
* COMMITED BYTECODE COMPILERGravatar barras2004-10-20
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6245 85f007b7-540e-0410-9357-904b9bb8a0f7
* Nouvelle en-têteGravatar herbelin2004-07-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5920 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states ↵Gravatar herbelin2003-11-29
| | | | | | par les fichiers nouvelle syntaxe git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
* Open Scope en LocalGravatar herbelin2003-04-12
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3917 85f007b7-540e-0410-9357-904b9bb8a0f7
* Remplacement Import par Open Scope en v8Gravatar herbelin2003-04-10
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3909 85f007b7-540e-0410-9357-904b9bb8a0f7
* Suppression de l'étage "Import nat/Z/R_scope". "Open Scope" remplace "Import".Gravatar herbelin2003-04-09
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3877 85f007b7-540e-0410-9357-904b9bb8a0f7
* *** empty log message ***Gravatar barras2003-03-12
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3761 85f007b7-540e-0410-9357-904b9bb8a0f7
* CommentairesGravatar desmettr2003-01-22
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3585 85f007b7-540e-0410-9357-904b9bb8a0f7
* Renommage de RealsB en RbaseGravatar desmettr2003-01-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3508 85f007b7-540e-0410-9357-904b9bb8a0f7
* Nouvelle interprétation des nombres réelsGravatar desmettr2003-01-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3499 85f007b7-540e-0410-9357-904b9bb8a0f7
* Réorganisation de la librairie des réelsGravatar desmettr2002-11-27
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3311 85f007b7-540e-0410-9357-904b9bb8a0f7
* Proprietes de la racine carreeGravatar desmettr2002-07-16
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2874 85f007b7-540e-0410-9357-904b9bb8a0f7
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