This version updates IsarMathLib to Isabelle2020. It was the easiest update ever – nothing had to be changed, so I just changed the abstract in the proof document with the project description.

## Archive for the ‘IsarMathLib releases’ Category

### IsarMathLib version 1.12.1

May 12, 2020### IsarMathLib version 1.12.0

May 5, 2020This release adds three theory files contributed by Daniel de la Concepción Sáez. Two them, Topology_ZF_properties_2 and Topology_ZF_properties_3 have been in IsarMathLib for a long time, but I forgot to add them to the file that lists theories to be presented, so they were not showing up in the Isabelle generated HTML presentation or the proof document. Now they do.

The third theory TopologicalGroup_Uniformity_ZF (see also the section *Topological groups – uniformity* in the proof document or the outline) is brand new in this release and contains a proof that every topological group is a uniform space.

### IsarMathLib version 1.11.0

February 11, 2020I have released the next IsarMathLib version both on the GNU Savannah server and the IsarMathLib’s repository on GitHub. This release adds a theory about unifom spaces.

### IsarMathLib version 1.10.0

November 23, 2019This release adds a short theory on neighborhood systems in topological spaces. Besides the usual places for the sources, proof document and the outline on the GNU Savannah server one can download those from the GitHub mirror.

Years ago I had a plan to formalize some notion of measure and integration that would be different and perhaps more general than the usual Borel/Lebesque measure. I recently came back to this and searched a bit what is known about measures and integration taking values in topological groups. One of the things I found was a story about Grothendieck’s manuscript titled “*L’intégration à valeurs dans un groupe topologique*” that he presented to Dieudonné when he arrived to the University of Nancy to become a doctoral student there. The paper was harshly criticized by Dieudonné for its “reprehensible tendency to gratuitous generality” (I love gratuitous generality). The manuscript is now lost for ever probably.

On the measure side of things I found an old (1973) book “*A Theory of Semigroup Valued Measures” *by Maurice Sion and some earlier papers on the subject. The Google preview of the book suggests that the setting considered there are topological semigroups. This notion depends on uniform spaces, which depend on neighborhood systems, hence the the subject of new theory in this release.

For the integration I found an interesting paper “*Lattice Valuations: a Generalisation of Measure and Integral*” by Bram Westerbaan. This presents a unification of the notions of measure and integral under a common notion of lattice valuations (that would be a gratuitous generality again I guess). This is done in the setting of (partially) ordered abelian (topological) group. From my point of view I was kind of hoping that someone has come up with a way to define say **SO(3)** valued measures, or at least SO(2) if we really need the group to be abelian.

There is also the paper “Notes on Lebesgue integration” by Gyula Lakos that I had known before. This one is written is style that is very difficult to formalize and assumes that we already have measures.

### IsarMathLib version 1.9.8 released

August 29, 2019### FMM 2018 and IsarMathLib release 1.9.7

August 26, 2018I gave a talk on IsarMathLib at the Third workshop on Formal Mathematics for Mathematicians (FMM 2018) on August 13. The workshop was part of 11th Conference on Intelligent Computer Mathematics (CICM 2018). The slides for my talk are available online on the CCIM page. The paper (an “extended abstract”) can be also found there, but they somehow cut the pictures from it, so it’s better to look at the original.

In other news I updated IsarMathLib to Isabelle 2018 which was released about a week ago.

### IsarMathLib updated to Isabelle2016-1

March 20, 2017I 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.

### IsarMathLib 1.9.3 released

June 30, 2015This is a maintenance release to update IsarMathLib for Isabelle2015. There is no new formalized mathematics in this release.

### IsarMathLib 1.9.2 released

October 20, 2014I 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.

### IsarMathLib version 1.9.1 released

January 3, 2014This is a maintenance release mostly to update IsarMathLib to Isabelle 2013-2. The RIPEMD-160 hash (a2ef972973bb2d072c7702d28dcfabee9026bd3b) of the proof document for this release is timestamped in the Bitcoin blockchain at 1FrXV7eifF2zruVr8YHJdvV8GHucUAqxYy.