mathlib3

Communication skills, Leadership skills, Research skills and newer tools for formal methods and theorem proving. The example prompts in the "Teaching with AI" OpenAI blog post are paragraphs of solution specification; far longer than the search queries that an average bear would take the time to specify. https://openai.com/blog/teaching-with-ai https://blog.khanacademy.org/khan-academys-7-step-approach-t... Is there yet an approachable "Intro to Arithmetic and beyond with Lean"? What additional resources for learning Lean and Mathlib were discovered or generated but haven't been added to the docs? https://news.ycombinator.com/context?id=38522544 : AlphaZero self-play, LLMs and Lean, "Q: LLM and/or an RL agent trained on mathlib and tests" https://github.com/leanprover-community/mathlib/issues/17919... -> Proof Assistance SE: https://proo

Quantum Discord: https://en.wikipedia.org/wiki/Quantum_discord Quantum nonlocality: https://en.wikipedia.org/wiki/Quantum_nonlocality Butterfly effect -> Quantum chaos: https://en.wikipedia.org/wiki/Quantum_chaos -> Perturbation theory: https://en.wikipedia.org/wiki/Perturbation_theory_(quantum_m... But then entropy in fluids, Satisfiability > Model Theory: https://en.wikipedia.org/wiki/Satisfiability Goal programming: https://en.wikipedia.org/wiki/Goal_programming And, ultimately, Self play (AlphaZero, ) https://en.wikipedia.org/wiki/Self-play "Q: LLM and/or an RL agent trained on [Lean mathlib] and tests" https://github.com/leanprover-community/mathlib/issues/17919

Kinda agree but Mathlib and its documentation makes for a big corpus to learn by example from. Not ideal but it helps. https://github.com/leanprover-community/mathlib

https://github.com/leanprover-community/mathlib https://1lab.dev/ You can watch the next generation, or participate, right now.

For the math that you mention, I would suggest looking at mathlib (https://github.com/leanprover-community/mathlib). I agree that the foundations of Coq are somewhat distanced from the foundations most mathematicians are trained in. Lean/mathlib might be a bit more familiar, not sure. That said, I don't see any obstacles to developing classical real analysis or linear algebra in Coq, once you've gotten used to writing proofs in it. I'm curious, which field of math do you work in? Edit: for example, that symmetric matrices have real eigenvalues is shown here in mathlib: https://leanprover-community.github.io/mathlib_docs/analysis...

Lean mathlib was originally a type checker proof assistant, but now leanprover-community is implementing like all math as proofs in Lean in the mathlib project. Lean (proof assistant) https://en.wikipedia.org/wiki/Lean_(proof_assistant) "Lean mathlib overview": https://leanprover-community.github.io/mathlib-overview.html "Where to start learning Lean": https://github.com/leanprover-community/mathlib/wiki/Where-t... leanprover-community/mathlib: https://github.com/leanprover-community/mathlib

Is this what you're looking for? https://github.com/leanprover-community/mathlib

I think they end up similar. Although Lean 3 is much more geared towards writing proofs with the addition of mathlib [0] which aims to be a library of formalized mathematics. [0] https://github.com/leanprover-community/mathlib