JetBrains / JetBrains/arend-lib

Prove that a weakly regular locale is weakly Hausdorff

Open
#49 0 comments 0 reactions 0 assignees View on GitHub
help wanted
Dominant language
Java
Stars
85
Forks
23
PR merge metrics
No merged PRs in 30d

Description

This is [Topology.Locale/wregular_wHausdorff](https://github.com/JetBrains/arend-lib/blob/4ea97da483c5bb2e6a22c8d09c03becf17756c7e/src/Topology/Locale.ard#L1364). A proof of this proposition can be found in Fibrewise separation axioms for locales, Peter T. Johnstone, 1990, Corollary 3.4.

This proposition requires a lot of background work since this paper is not formalized yet and it seems a lot of stuff from it is required for this proof.

Contributor guide

No contributing guide indexed for this repository

Research direction

Start at src/Topology/Locale.ard, around Topology.Locale/wregular_wHausdorff, and read the surrounding locale separation definitions. Consult Corollary 3.4 of Peter T. Johnstone's Fibrewise separation axioms for locales to identify the required intermediate results. Done means the proposition has a compiling formal proof in the library.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
25/100

Get new issues in your inbox

A short digest of beginner-friendly GitHub issues.