lean4

lean4 is a skill for Claude Code, Codex from frenzymath/Archon. It costs 112 tokens per session (4,094 once invoked), scanned A, original, Apache-2.0.

A guide to Lean 4, a programming language and proof checker used to write formal mathematical proofs.

In plain words
What is it for?
Use it when editing Lean files, formalizing mathematics, searching for lemmas, or debugging Lean and Lake builds.
Why use it?
It helps diagnose build and type errors, find existing mathlib results, and complete proofs without changing their stated requirements.

Skill for Claude CodeCodex

Part of the lean4 plugin — 1 skill, 11 commands, 4 agents, 3 hooks shipped together

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add skills/frenzymath/archon/lean4
Any agent
npx skills add frenzymath/Archon --skill lean4
Clone the repo
git clone --depth 1 https://github.com/frenzymath/Archon

Made for: Claude Code, Codex.

Or install lean4, the plugin that ships this one along with the rest of its 1 skill, 11 commands, 4 agents, 3 hooks.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for lean4

README.md
[![agentmods](https://agentmods.dev/badge/skills/frenzymath/archon/lean4.svg)](https://agentmods.dev/skills/frenzymath/archon/lean4)
Your own site
<a href="https://agentmods.dev/skills/frenzymath/archon/lean4"><img src="https://agentmods.dev/badge/skills/frenzymath/archon/lean4.svg" alt="Measured on agentmods" height="20"></a>
Per session 112 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 4,094 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. Scan, not verified.
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 $0.00112 $0.04094
Opus 5 $0.00056 $0.02047
Sonnet 5 $0.00022 $0.00819
Haiku 4.5 $0.00011 $0.00409

Measured 4d ago against content hash 12042b9f5b1e, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

lean4 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 4d ago.

The scan reads SKILL.md. This mod also ships 1 executable file (references/_update_against_mathlib.py), listed below but not scanned — reading those needs a real analyzer, not pattern matching.

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.

src/archon/.archon-src/skills/lean4/skills/lean4/SKILL.md · 244 lines

How it starts

The opening of the file, as written. The whole thing — 244 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Lean 4 Theorem Proving

Use this skill whenever you're editing Lean 4 proofs, debugging Lean builds, formalizing mathematics in Lean, or learning Lean 4 concepts. It prioritizes LSP-based inspection and mathlib search, with scripted primitives for sorry analysis, axiom checking, and error parsing.

Core Principles

Search before prove. Many mathematical facts already exist in mathlib. Search exhaustively before writing tactics.

Build incrementally. Lean's type checker is your test suite—if it compiles with no sorries and standard axioms only, the proof is sound.

Respect scope. Follow the user's preference: fill one sorry, its transitive dependencies, all sorries in a file, or everything. Ask if unclear.

Never change statements or add axioms without explicit permission. Theorem/lemma statements, type signatures, and docstrings are off-limits unless the user requests changes. Inline comments may be adjusted; docstrings may not (they're part of the API). Custom axioms require explicit approval—if a proof seems to need one, stop and discuss. Exception: within synthesis wrappers (/lean4:formalize, /lean4:autoformalize), session-generated declarations may be redrafted under the outer-loop statement-safety rules; see cycle-engine.md.

Commands

Command Purpose
/lean4:draft Draft Lean declaration skeletons from informal claims
/lean4:formalize Interactive formalization — drafting plus guided proving
/lean4:autoformalize Autonomous end-to-end formalization from informal sources
/lean4:prove Guided cycle-by-cycle theorem proving with explicit checkpoints
/lean4:autoprove Autonomous multi-cycle theorem proving with hard stop rules
/lean4:checkpoint Save progress with a safe commit checkpoint
/lean4:review Read-only code review of Lean proofs
/lean4:refactor Leverage mathlib, extract helpers, simplify proof strategies
/lean4:golf Improve Lean proofs for directness, clarity, performance, and brevity
/lean4:learn Interactive teaching and mathlib exploration
/lean4:doctor Diagnostics, cleanup, and migration help

Read the full file on GitHub · 244 lines

Files

What ships with it

40 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

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. 4d ago First seen · 244 lines · 112 tokens per session scan A 12042b9f5b1e

Subscribe to this mod's changes

lean4 is a skill published in the GitHub repository frenzymath/Archon (213 stars, last pushed 18d ago), licensed Apache-2.0. It adds 112 tokens to every session and 4,094 once invoked, about $0.0006 per session on Opus 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 2026-08-30.

Related

Other skills, from other repositories

bnlearn

Use this skill when working with bnlearn, a Python library for Bayesian networks, probabilistic graphical models, causal discovery, parameter learning, structure learning, inference, sampling, and directed acyclic graphs (DAG).

erdogant/bnlearn · 46 tokens

claude-api

Build apps with the Claude API or Anthropic SDK. TRIGGER when: code imports anthropic/@anthropic-ai/sdk/claudeagentsdk, or user asks to use Claude API, Anthropic SDKs, or Agent SDK. DO NOT TRIGGER when: code imports openai/other AI SDK, general programming, or ML/data-science tasks.

cohen-liel/hivemind · 84 tokens

exploratory-data-analysis

Perform bounded, local exploratory analysis of explicitly supported scientific files. Use for redacted CSV/TSV/JSON profiles; optional NumPy, HDF5, FASTA/FASTQ, and basic image metadata inspection; missingness/leakage audits; outlier and transformation sensitivity; and rigorous EDA report scaffolds. Other domain…

K-Dense-AI/scientific-agent-skills · 83 tokens

evaluating-with-leakage-gates

Evaluate an OpenMed de-identification or clinical NER model against the leakage-first release gates G1a through G8, which gate releases on residual PHI leakage rather than on F1. Use when the user wants to run the OpenMed eval harness on a synthetic golden set, decide whether a de-id model is RELEASABLE or…

maziyarpanahi/openmed · 158 tokens

mapping-to-snomed

Maps clinical concept spans extracted by OpenMed to SNOMED CT concepts through a USER-SUPPLIED terminology server (the user's own Ontoserver, Snowstorm, or UMLS/UTS), never a bundled vocabulary. Use when the user wants to code findings, disorders, procedures, body structures, or substances to SNOMED CT, run an ECL…

maziyarpanahi/openmed · 205 tokens

tooluniverse-drug-research

Comprehensive drug profiling — mechanism, primary/secondary targets, drug interactions, clinical-trial status, adverse events (FAERS), pharmacogenomics, and approval history. Use for full drug investigation reports, 'tell me about drug X' queries, and assembling drug profiles for clinicians, researchers, or regulatory…

mims-harvard/ToolUniverse · 71 tokens