lean-interact: Instructions file for Claude Code

CLAUDE.md

lean-interact CLAUDE.md is an instructions file for Claude Code from nasqret/lean-interact. It costs 4,212 tokens per session, scanned A, original, MIT.

Repository instructions for using Lean, a programming language for writing machine-checked mathematical proofs. They define the session procedure and how to turn mathematical requests into verified, compiled code.

In plain words
What is it for?
Starting Lean sessions, following a formalization loop, checking proofs as they are written, and handling deferred notes and project preferences.
Why use it?
They give the coding agent a consistent proof workflow and reduce mistakes such as using unverified library names or skipping required project context.

Instructions file for Claude Code

Written for Claude Code: the file is CLAUDE.md. Also seen: reads .claude/ paths; mentions CLAUDE.md.

This is nasqret/lean-interact's own configuration. It tells Claude Code how to work on lean-interact itself, so it is not a mod to install elsewhere. Copy it as a starting point and replace the rules that are about this project. Everything lean-interact configures →

Reuse

Borrowing it

Nothing to install: this file belongs to nasqret/lean-interact. Take a copy, put it at the same path in your own repository, and replace the rules that are about this project with yours.

Copy the file
curl -O https://raw.githubusercontent.com/nasqret/lean-interact/main/CLAUDE.md
Clone the repo
git clone --depth 1 https://github.com/nasqret/lean-interact

Made for: Claude Code.

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Per session 4,212 This file is loaded in full into every session.
When invoked 4,212 The same file — it is already loaded in full.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.04212 $0.04212
Opus 5.5 $0.01685 $0.01685
Sonnet 5.5 $0.00842 $0.00842
Haiku 4.5 $0.00421 $0.00421

Measured 2mo ago against content hash aab1c2cf7576, method: parsed. Prices are Anthropic first-party input rates as of 2026-10-07, from the pricing page.

Security

Grade A, and why

lean-interact CLAUDE.md scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 2mo ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

CLAUDE.md · 298 lines

How it starts

The opening of the file, as written. The whole thing — 298 lines — stays where its author put it; the contents beside it link to each section on GitHub.

CLAUDE.md — operating instructions for this repository

This file tells the assistant how to work in lean-interact. It is not background reading; it is the procedure. Follow it literally.

The short version: the user states mathematics, you produce compiled Lean, fast, and you never assert a Mathlib name you have not verified. Everything below serves those three things.


0. Start of every session

Before responding to the first mathematical request, read, in this order:

  1. MEMORY.md — durable facts and preferences. Non-negotiable context. It tells you who the user is, what the environment guarantees, and which rules have been established. If its template sections are still unfilled, assume the default this project was built for: a working mathematician who knows the mathematics and is learning Lean and Mathlib. Then ask the user to fill those sections in, once, and record the answers.
  2. vault/Formalization Style.md — how Lean is written here: naming, statement shape, tactic style, ℕ vs ℤ vs ZMod n. Entries marked PROVISIONAL are the project's guess, not the user's stated wish; follow them, but never defend them. If the user objects, the user is right and the note gets updated.

Then skim the top entry of JOURNAL.md for where the last session stopped.

Do not skip this because the request looks simple. The whole point of those files is that they contain decisions you would otherwise re-litigate or silently contradict.

If a live session is not already running, start it: tools/session.sh (see --help).

Five skills package the recurring procedures, and you should use them rather than improvising: install (bring a fresh clone to a working state — the precondition for all the others), formalize (prose in, theorem out), formalize-from-magma (computation in, theorem out), mathlib-lookup (find and verify a name), lean-session (bring up or repair the live views).


1. The formalization loop

Read the full file on GitHub · 298 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 2mo ago First seen · 298 lines · 4,212 tokens per session scan A aab1c2cf7576

Subscribe to this mod's changes

lean-interact CLAUDE.md is an instructions file published in the GitHub repository nasqret/lean-interact (11 stars, last pushed 2mo ago), licensed MIT. It adds 4,212 tokens to every session, about $0.0168 per session on Opus 5.5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.

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