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# Equivalence classes and quotienting
[https://lawrencecpaulson.github.io/2022/03/30/Quotienting.html](https://lawrencecpaulson.github.io/2022/03/30/Quotienting.html)
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In a pullback square, it is a good idea to have pr1 as the vertical projection and pr2 as the horizontal one - this agrees with how things are in C-systems where everything is much more rigid and so l…
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I have a development where I use extensionality and the propositional truncation, some parts of the code use instances of univalence (introduced as assumptions), and some parts use instances of UIP (a…
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# What do we mean by "the foundations of mathematics"?
[https://lawrencecpaulson.github.io/2023/11/01/Foundations.html](https://lawrencecpaulson.github.io/2023/11/01/Foundations.html)
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Proposal: Add `primGlueProp` which acts analogously to `primGlue` but for `Prop`. Because types in `Prop` are definitionally irrelevant, instead of an equivalence it can simply take a bi-implication.
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For future reference. [This extension](http://www.ii.uib.no/~bezem/abstracts/TYPES_2019_paper_38) of the algorithm behind the congruence tactic that is compatible with HoTT.
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One of the large sources of "funext" is this definition https://github.com/ualib/agda-algebras/blob/5a5687e95672d3648ffe4130a9a68afb4e0e9faf/UniversalAlgebra/Relations/Discrete.lagda#L77-L79 of `Op`.
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- [ ] `--allows-empty-system`: no ghcom etc
- [ ] `--fhcom-kan=?`: try different implementations of fcom ~and V~ types.
- [ ] `--paranoid`: normalize everything extremely eagarly
- [ ] `--favonia`:…
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Hei!
Her er en liste med 238 mulige oversettelser for termer fra alle grener av matematikken som ikke var i ordlista fra før av.
**Forslag:**
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Bokmål,Nynorsk,Engelsk,Kommentar
kategoriteori,…
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I'm trying to catch up on the rules used in modern cubical TT implementations. For Agda, I looked at http://www.cse.chalmers.se/~simonhu/misc/hcomp.pdf, which is AFAIK the only online documentation on…