lean4-theorem-proving

lean4-theorem-proving is a skill for Claude Code, Codex from UCSB-NLP-Chang/Skill-Usage. It costs 68 tokens per session (2,144 once invoked), scanned A, original, no licence file.

A build-first workflow for Lean 4 files and mathematical proofs. Lean 4 is a programming language and proof system that checks whether formal proofs are correct.

In plain words
What is it for?
Use it when writing or debugging Lean 4 proofs, including instance errors and mathlib lemma searches.
Why use it?
It helps diagnose compiler errors, replace unfinished proofs, find library lemmas, and use editor feedback to repair proofs.

Skill for Claude CodeCodex

Which agent this was written for is unclear — body not stored (licence); the path alone says nothing.

Good fit Use it when writing or debugging Lean 4 proofs, including instance errors and mathlib lemma searches.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving
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.

Any agent
npx skills add UCSB-NLP-Chang/Skill-Usage --skill lean4-theorem-proving
Clone the repo
git clone --depth 1 https://github.com/UCSB-NLP-Chang/Skill-Usage

Made for: Claude Code, Codex.

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-theorem-proving

README.md
[![agentmods](https://agentmods.dev/badge/skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving/github.svg)](https://agentmods.dev/skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving)
Your own site
<a href="https://agentmods.dev/skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving"><img src="https://agentmods.dev/badge/skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for lean4-theorem-proving

Your own site · 80×15
<a href="https://agentmods.dev/skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving"><img src="https://agentmods.dev/badge/skills/ucsb-nlp-chang/skill-usage/lean4-theorem-proving.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 68 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 2,144 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin unknown 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 $0.00068 $0.02144
Opus 5 $0.00034 $0.01072
Sonnet 5 $0.00014 $0.00429
Haiku 4.5 $0.00007 $0.00214

Measured 7d ago against content hash ccdf91ca8b6e, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-10, from the pricing page.

Security

Grade A, and why

lean4-theorem-proving 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 7d 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.

tasks/lean4-proof/environment/skills/lean4-theorem-proving/SKILL.md · 156 lines

The source is not reproduced here

No licence file

A repository with no LICENSE is all rights reserved by default, so the body is not copied here. The metadata, the measurements and the link are.

Read it on GitHub

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. 7d ago First seen · 156 lines · 68 tokens per session scan A ccdf91ca8b6e

Subscribe to this mod's changes

lean4-theorem-proving is a skill published in the GitHub repository UCSB-NLP-Chang/Skill-Usage (48 stars, last pushed 5mo ago), with no licence file. It adds 68 tokens to every session and 2,144 once invoked, about $0.0003 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 2026-09-03.

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