## Archive for the ‘IsarMathLib releases’ Category

March 20, 2017
I finally got around to update IsarMathLib to Isabelle2016-1 that was released in December last year. This was a quite time consuming update. The Isabelle system integrates LaTeX to be able to typeset well looking document proofs. This indeed works well – when it does. When there is a problem though it requires LaTeX specific knowledge or long time to fix. This is what happened this time. The Isabelle team removed an element of its LaTeX setup that was obsoleted a couple of releases ago. They provided a script that was supposed to make necessary changes to theory files, but in my case running it on IsarMathLib’s 78 theory files just caused the errors to multiply. Fortunately Isabelle distribution sources provide lots of examples how LaTeX should be currently set up. After struggling for some time to understand the errors scattered over a 10MB log file I just created the IsarMathLib LaTeX setup from scratch following the examples and it worked. The IsarMathLib’s proof document and outline look better than ever.

Tags:IsarMathLib, IsarMathLib releases

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October 20, 2014
I have released a new version of IsarMathLib – a library of formalized mathematics for the ZF logic of the Isabelle theorem proving environment. This is a maintenance release mostly to fix a couple of proofs that were not checking with Isabelle 2014 released at the end of August. The project distribution can be downloaded from the GNU Savannah server and the Isabelle generated proof document provides information on all theorems formalized by the project. The outline document is a shorter version of that without proofs.

Tags:IsarMathLib 1.9.2

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July 26, 2013
I have released version 1.9.0 of IsarMathLib. This is a quite large release with 10 new theory files and 155 new theorems, all contributed by Daniel de la Concepción Sáez. The first of the files contributed by Daniel (released in 1.8.0), *Topology_ZF_4* about nets, filters and convergence in topological spaces is now presented on the isarmathlib.org site. The rest of Daniel’s contributions for now can be viewed in the proof document and the outline.

Here is a short description of what is in the new theories:

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Tags:formalized mathematics, IsarMathLib releases, mathematics, reviews, topology

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February 25, 2013
I have released the 1.8.0 version of IsarMathLib. This version works with the new Isabelle2013 (released about two weeks ago). The new material in this release mostly comes from contributions by Daniel de la Concepción Sáez, who added 5 theory files with about a hundred theorems about general topology. The subjects range from convergence of nets and filters and related continuity properties of functions, through some generalized notions of compactness and connectedness, to rather abstract (like, category theory abstract) subjects of heredity and spectra of topological properties. Unfortunately, it will take some time before those theories will be presented on the FormalMath.org site, as my parser is not good enough to parse Daniel’s advanced Isar style. I will work on this though and in the meantime an interested reader can have a look at the Isabelle generated full proof document or the outline.

As for myself, I have finished the proof that the function is continuous in the natural topology on the space of -element sequences of a topological group.

Tags:IsarMathLib releases

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July 20, 2011
I have released a new version of IsarMathLib. It adds about 50 new lemmas, mostly in group theory and topology, leading to the following characterization of closure in topological groups:

Here, is the collection of neighborhoods of zero (sets whose interior contains the neutral element of the group), and for two sets we define as .

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Tags:Haskell, IsarMathLib, IsarMathLib releases, topology

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