JetBrains / JetBrains/arend-lib
Prove that a weakly regular locale is weakly Hausdorff
- Dominant language
- Java
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- 85
- Forks
- 23
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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
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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