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.
npx agentmods add skills/frenzymath/archon/lean4npx skills add frenzymath/Archon --skill lean4git clone --depth 1 https://github.com/frenzymath/ArchonWrote 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.
[](https://agentmods.dev/skills/frenzymath/archon/lean4)<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>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.
| Model | Per session | Once 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 |
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.
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.
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 |
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.
- references/_update_against_mathlib.py 9.0 KB runs code
- references/agent-workflows.md 7.4 KB
- references/axiom-elimination.md 7.1 KB
- references/calc-patterns.md 8.7 KB
- references/command-examples.md 32 KB
- references/compilation-errors.md 21 KB
- references/compiler-guided-repair.md 19 KB
- references/cycle-engine.md 22 KB
- references/domain-patterns.md 25 KB
- references/ffi-patterns.md 2.2 KB
- references/grind-tactic.md 11 KB
- references/instance-pollution.md 16 KB
- references/json-patterns.md 4.8 KB
- references/lean-lsp-server.md 11 KB
- references/lean-lsp-tools-api.md 29 KB
- references/lean-phrasebook.md 17 KB
- references/lean4-custom-syntax.md 14 KB
- references/learn-pathways.md 21 KB
- references/linter-authoring.md 3.4 KB
- references/mathlib-guide.md 14 KB
- references/mathlib-preferred-idioms.md 10 KB
- references/mathlib-style.md 9.3 KB
- references/mathlib-unavailable-theorems.md 48 KB
- references/measure-theory.md 28 KB
- references/metaprogramming-patterns.md 4.7 KB
- references/performance-optimization.md 18 KB
- references/profiling-workflows.md 1.9 KB
- references/proof-golfing-patterns.md 16 KB
- references/proof-golfing.md 13 KB
- references/proof-refactoring.md 29 KB
- references/proof-simplification.md 9.6 KB
- references/proof-templates.md 3.7 KB
- references/review-hook-schema.md 6.9 KB
- references/scaffold-dsl.md 1.8 KB
- references/simp-reference.md 5.5 KB
- references/sorry-filling.md 11 KB
- references/subagent-workflows.md 17 KB
- references/tactic-patterns.md 3.6 KB
- references/tactics-reference.md 18 KB
- references/verso-docs.md 2.2 KB
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.
- 4d ago First seen · 244 lines · 112 tokens per session scan A 12042b9f5b1e
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.
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