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Analysis I

The goal of this project is to formalize all the definitions, axioms, propositions, lemmas, theorems, corollaries, and exercises from Analysis I by Terance Tao. It is a work in progress; I am formalizing the proofs as I work through the book.

The proofs are written in Coq. I started the project using the Learn Theorem Prover, but later restarted using Coq because Lean was changing too fast for me.

Build

Coq

First, install Coq (on macOS, brew install coq). Then, cd coq && make. To generate HTML documentation you can use make html.

To edit Coq files, I recommend using the Coq IDE (on macOS, brew cask install coqide).

Lean

First, install Lean (on macOS, brew install leanprover/lean/lean). Then, run lean --make in the repository directory to compile all the Lean files.

To edit Lean files, you can use the official Emacs Lean mode. Or, if you prefer Vim, you can use my vim-lean plugin.

License

© 2020 Mitchell Kember

This project is available under the MIT License; see LICENSE for details.

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Formalization of proofs from Analysis I in the Coq and Lean.

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