Rosetta Stone for Point-Set Topology Results in Mizar
Alex Nelson thmprover _AT_ gmail.com <[email protected]> Mon, 13 Nov 2023 15:14:01 -0800
| Newsgroups | gmane.comp.mathematics.mizar |
|---|---|
| Message-ID | <CAA+9CX0zJNJkEeT+HcJJojXK9EWUGHeDE9dbJVCsRQ4BSKxiEA@mail.gmail.com> |
--000000000000e7da6c060a10d399 Content-Type: text/plain; charset="UTF-8" Hello, I spent the weekend assembling a "Rosetta Stone", organizing results as found in Munkres's textbook on topology and their corresponding formalization in Mizar: https://pqnelson.github.io/org-notes/comp-sci/theorem-provers/mizar/topology.html The Mizar formalization turned out to usually be better than Munkres. There are a few results which are not formalized in Mizar, like the Urysohn metrization theorem, but it is entirely likely (highly probable) that I have just been unable to find the formalization of various results --- I have noted them in the Rosetta stone when there is no analogous result in the MML. (If I have missed something, let me know, and I will update my notes.) I think it might be useful for students learning Mizar who want to find results in point-set topology, I hope you find it useful too :) Best, Alex --000000000000e7da6c060a10d399 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable <div dir=3D"ltr">Hello,<br><br>I spent the weekend assembling a "Roset= ta Stone", organizing results as found in Munkres's=C2=A0textbook = on topology and their corresponding formalization in Mizar:=C2=A0<a href=3D= "https://pqnelson.github.io/org-notes/comp-sci/theorem-provers/mizar/topolo= gy.html">https://pqnelson.github.io/org-notes/comp-sci/theorem-provers/miza= r/topology.html</a><div><br></div><div>The Mizar formalization turned out t= o usually=C2=A0be better than Munkres.<br><br>There are a few results which= are not formalized in Mizar, like the Urysohn metrization theorem, but it = is entirely likely (highly probable) that I have just been unable to find t= he formalization of various results --- I have noted them in the Rosetta st= one when there is no analogous result in the MML. (If I have missed somethi= ng, let me know, and I will update my notes.)<br><br>I think it might be us= eful for students learning Mizar who want to find results in point-set topo= logy, I hope you find it useful too :)<br><br>Best,<br>Alex</div></div> --000000000000e7da6c060a10d399--