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HoTT  lean  

2  2  
1,032  1,915  
2.1%    
9.4  0.0  
13 days ago  over 1 year ago  
Coq  C++  
GNU General Public License v3.0 or later  Apache License 2.0 
The number of mentions indicates the total number of mentions that we've tracked plus the number of user suggested alternatives.
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Activity is a relative number indicating how actively a project is being developed. Recent commits have higher weight than older ones.
For example, an activity of 9.0 indicates that a project is amongst the top 10% of the most actively developed projects that we are tracking.
Stars  the number of stars that a project has on GitHub. Growth  month over month growth in stars.
Activity is a relative number indicating how actively a project is being developed. Recent commits have higher weight than older ones.
For example, an activity of 9.0 indicates that a project is amongst the top 10% of the most actively developed projects that we are tracking.
HoTT
Posts with mentions or reviews of HoTT.
We have used some of these posts to build our list of alternatives
and similar projects. The last one was on 20210623.

Homotopy Type Theory
HoTT is somewhat independent of the choice of proof assistant.
Coq: https://github.com/HoTT/HoTT
Lean: https://github.com/gebner/hott3
idk what you mean by "blue screened", or results being on the way. afaict most of the nonfoundational work present (what I assume you mean by "results") in these libraries are basic properties of basic mathematical concepts being rebuilt on HoTT.

What is the benefit of using a text editor like MikTex, Texmaker, etc. over Overleaf?
The major one for me is version control (git). Imaging having to write a book like HoTT without having revisions and easy way to work on your changes without interfering with anyone else's work and then easily merging everything together.
lean
Posts with mentions or reviews of lean.
We have used some of these posts to build our list of alternatives
and similar projects. The last one was on 20210326.

Mathematics: our overlooked ability
I have spent a good deal of time trying to formalize elementary mathematics and computer science textbooks in the Lean Theorem Prover, and in trying to extend and improve Lean to make the process easier. I have been able to translate entire chapters of several textbooks into Lean in a natural way, with every line of Lean seemingly isomorphic to the informal presentation. However, once in a while I will hit a statement or proof step that may seem simple to me but that requires a major refactor, or adding new features to Lean itself, or just seems like a brick wall. My brain is able to perform massive refactorings of mathematical knowledge and abstractions, synthesize the equivalent of tens of thousands of lines of tricky and performancecritical software, and maybe even expand the logic I am effectively operating in, all in the blink of an eye.

How do I get back into math?
However, mathlib makes some weird design choices. For example, (semi)groups are defined using multiplicative notation  and then immediately followed by an entire section giving the exact same definitions using additive notation! The claimed reason for this is that the more abstract approach is inconvenient for automation. I did it in Coq using the abstract approach, and indeed, noticed that doing so broke automation, which I then worked around in various ways. But it's just weird to me as a mathematician to have additive and multiplicative groups be different objects, so I wouldn't want to do it the Lean way come hell or high water. The Lean approach causes practical difficulties as well: you have to prove every theorem about groups twice. In some cases (e.g. product groups), you have to prove every theorem FOUR times. Ugh.
What are some alternatives?
When comparing HoTT and lean you can also consider the following projects:
Agda  Agda is a dependently typed programming language / interactive theorem prover.
FStar  Verification system for effectful programs
cubical  An experimental library for Cubical Agda
arendlib