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2020-12-09Redefines exp_ineq1 to hold for all non-zero numbers.Avi Shinnar
The original (which holds only for positive numbers) is now called exp_ineq1_pos. A version that holds only for negative numbers is added as exp_ineq1_neg. Adds exp_ineq1_le, which holds for all reals (but is a <= instead of a <). Co-authored-by: Barry M. Trager <bmt@us.ibm.com>
2020-07-05Defined arbitrary base logarithms (Rlog) and added natural lemmas concerning ↵Larry D. Lee Jr
ln, exp, and Rlog to the Real library. Additionally made the real exponent notation nonlocal.
2020-04-01- Addition to the Reals theory :thery
- minus: lemmas `Rminus_eq_0` and `Rmult_minus_distr_r` - sin : sin_inj - cos : cos_inj - sqrt : lemmas `pow2_sqrt` and `inv_sqrt` - atan : lemmas `tan_inj`, `atan_eq0`, `atan_tan` and `tan_atan` - asin : definition and some basic properties - acos : definition and some basic properties
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
2018-07-17Remove fourier pluginMaxime Dénès
As stated in the manual, the fourier tactic is subsumed by lra.
2018-03-05Merge PR #6855: Update headers following #6543.Maxime Dénès
2018-02-27Update headers following #6543.Théo Zimmermann
2017-09-06weakens an hypothesis of Rle_RpowerYves Bertot
2017-09-06changed statements of Rpower_lt and Rle_power and addedYves Bertot
Rlt_Rpower_l and pow_INR. Unfortunately theorems Rpower_lt and Rle_power are named inconsistently, in spite of their similarity.
2017-07-04Bump year in headers.Pierre-Marie Pédrot
2017-04-27Merge PR#414: Some more theory on powerRZ.Maxime Dénès
2017-04-02Simplify some proofs.Guillaume Melquiond
This commit does not modify the signature of the involved modules, only the opaque proof terms. One has to wonder how proofs can bitrot so much that several occurrences of "replace 4 with 4" start appearing.
2017-03-22Change the parser and printer so that they use IZR for real constants.Guillaume Melquiond
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).
2017-03-22Simplify some proofs using ring and field.Guillaume Melquiond
2017-02-15Added some theory on powerRZ.Thomas Sibut-Pinote
For this, I used a new inductive type Z_spec to reason on Z.
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
2014-06-01Making 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
2012-07-05ZArith + 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
2012-06-11finish 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
2009-12-06Fix anomaly when using typeclass resolution with filtered hyps in evars.msozeau
Make setoid_rewrite-through-rewrite's selection of occurences more robust: do not try unification with reduction if not needed. This changes a few scripts that were using reduction in a far from obvious way and could break more. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12562 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
2008-03-01Marche-arrière sur la suppression de l'hypothèse inutile de Rpower_Oherbelin
(rapport de bug 1807). Cf explication dans le fichier et/ou dans le bug-tracker. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10613 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-02-29Argumentation plus poussée de pourquoi on retire la condition x>0 dansherbelin
Rpower_O alors qu'on la garde pour les autres propriétés de la puissance. (résultat d'une discussion avec Assia et Jean-Marc) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10609 85f007b7-540e-0410-9357-904b9bb8a0f7
2008-02-27Application patch #1807 sur hypothèse inutile de Rpower_Oherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10599 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
2006-09-26mise a jour du nouveau ring et ajout du nouveau field, avant renommagesbarras
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9178 85f007b7-540e-0410-9357-904b9bb8a0f7
2004-11-12Changement dans les boxed values .gregoire
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6295 85f007b7-540e-0410-9357-904b9bb8a0f7
2004-10-20COMMITED BYTECODE COMPILERbarras
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6245 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
2003-12-24changement de pose en set (pose n'etait pas utilise avec la semantiquebarras
documentee). Reste a retablir la semantique de pose. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5141 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-12-05power associe a droitemarche
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5072 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
2003-11-29Notation locale pour Rpowerherbelin
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5025 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
2003-01-22Renommage f_pos -> IVT (Intermediate Value Theoremdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3583 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-01-22Commentairesdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3581 85f007b7-540e-0410-9357-904b9bb8a0f7
2003-01-21Renommage dans MVTdesmettr
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3564 85f007b7-540e-0410-9357-904b9bb8a0f7
generated by cgit v1.2.3 (git 2.25.1) at 2026-02-28 00:57:31 +0000