Mathlib4 Alternatives

mathlib4 reviews and mentions

• Fermat's Last Theorem – how it's going
  2 projects | news.ycombinator.com | 12 Dec 2024

  > shouldn't proof checkers have a database of theorems and be able to fill in the intermediate steps or confirm that it's possible to fill in the missing steps?

  This is essentially exactly what Mathlib[1] is, which is Lean's database of mathematics, and which large portions of the FLT project will likely continually contribute into.

  (Other theorem provers have similar libraries, e.g. Coq's is called math-comp: https://math-comp.github.io/ )

  [1]: https://github.com/leanprover-community/mathlib4/

• The Future of TLA+ [pdf]
  2 projects | news.ycombinator.com | 28 Aug 2024
• How to choose a textbook that is pedagogically optimal for oneself?
  2 projects | news.ycombinator.com | 20 Jul 2024

  I am not aware of any good one, but I realized you could probably mechanically extract such a map from Lean's mathlib[0][1].

  Since Lean builds everything from scratch, this should be doable, albeit Lean builds everything on top of type theory which is not the only choice possible. Different foundations will result in a different graph.

  Also the best way to learn is probably not this sort of graph.

  [0] https://leanprover-community.github.io/mathlib4_docs/

• A Linear Algebra Trick for Computing Fibonacci Numbers Fast
  3 projects | news.ycombinator.com | 6 Nov 2023

  We essentially implemented this matrix version in Lean/mathlib to both compute the fibonacci number and generate an efficient proof for the calculation.

  https://github.com/leanprover-community/mathlib4/blob/master...

  In practice this isn't very useful (the definition of Nat.fib unfolds quick enough and concrete large fibonacci numbers don't often appear in proofs) but still it shaves a bit of time off the calculation and the proof verification.

• Show HN: The first complete open source implementation of Turing's famous paper
  2 projects | news.ycombinator.com | 17 Sep 2023

  As an aside, there are a number of Turing machines defined in Lean's mathlib. https://github.com/leanprover-community/mathlib4/blob/2c3ee3...

• Lean 4.0.0, first official lean4 release
  10 projects | news.ycombinator.com | 7 Sep 2023

  Thanks,

  and there is Subobject, which looks like the subobject classifier.

  https://github.com/leanprover-community/mathlib4/blob/master...

• Are There People Doing Formal Math In Berlin?
  3 projects | /r/berlinsocialclub | 13 Jun 2023

  I just wonder if there are any irl meetups of people involved with formalizing mathematics, I thought that it would be a cool hobby to pick up (with some background in math and programming) but the existing libraries, like MathLib, TypeTopology or UniMath look a bit intimidating...

• Good First Formal Proof?
  1 project | /r/askmath | 10 Jun 2023

  What is a good proof in either unimath or mathlib4 or somewhere else to get started with formal proofs? Like some well known result without too many dependencies, but still nothing trivial like propositional logic?

• Functional Programming in Lean – a book on using Lean 4 to write programs
  2 projects | news.ycombinator.com | 29 May 2023

  For searching using search terms for theorems in mathlib, there is the mathlib documentation page (for Lean 3 https://leanprover-community.github.io/mathlib_docs/ and Lean 4 https://leanprover-community.github.io/mathlib4_docs/). To find theorems by type, I find the best way is to use the `library_search` tactic from inside Lean itself.

• Good Entry Points For `mathlib4`?
  1 project | /r/math | 16 May 2023

  Hello, I'd like to start learning Lean 4. I'm already reading the book, but I'm really curious to study real-life parallel. So I looked into mathlib4, but there seem to be a lot of dependencies between the the files. So I wonder the following:

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