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A trustworthy source formatter, linter, and identity-aware renamer for Lean 4

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type Intelligence = AI | Human

lean4fmt

A trustworthy source formatter, linter, and identity-aware renamer for Lean 4.

A formatter may improve the presentation of a program. It may never take custody of the program away from its author.

lean4fmt treats formatting as a restricted compiler pass: it builds layout from syntax, renders a candidate, reparses it, compares the protected structure, and checks the fixed point. If that proof fails, the original bytes ship instead. The failure mode is "unformatted", never "damaged".

Use it

nix run github:b7r6/lean4fmt -- MyFile.lean

The default mode prints formatted source. --check changes no files and exits nonzero off the fixed point; --write is the explicit mutation boundary. From another flake:

inputs.lean4fmt.url = "github:b7r6/lean4fmt";

Provenance

lean4fmt was designed, directed, and reviewed by b7r6. The bulk of the implementation was written by AI — OpenAI Codex and Anthropic's Claude — under that direction, gate by gate. Disclosure is stated here once, in full, because it is owed; it is not repeated throughout the tree.

The tool itself is built for exactly this question. It asks for no trust in its authors, human or machine: every formatted file is verified by reparse, protected-structure comparison, and a fixed-point check, and when that proof fails the original bytes ship unchanged. The gates decide what may ship — the evidence record in the book is theirs, not ours.

Read the book

The design, the house style, the machine, and the complete Mathlib evidence record live in one book, Custody of Source:

nix build .#book && xdg-open result/index.html

or mdbook serve doc from a checkout. Start with the introduction.

Every .lean file in this repository is at the fixed point of the binary built from it.

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A trustworthy source formatter, linter, and identity-aware renamer for Lean 4

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