Lean Proof Walk

Q: What is a Claude Code skill and how does the Lean Proof Walk skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Lean Proof Walk is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Product category. Learn more at https://claudskills.com/learn/what-is-skill-md/.

Category: Product · Sub-category: product-misc · Last updated: 2026-05-21

type:generator

GF(3)-balanced random walk through Lean proof states. Use when generating formal proof chains with parallel triad verification. Invokes 3 agents (Generator +1, Coordinator 0, Validator -1) to traverse proof space via prime geodesics.

From the source SKILL.md

Generate formal Lean 4 proof state chains using GF(3)-balanced random walks.

What this skill does

Lean Proof Walk is a community-contributed Claude Code skill in the product-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/lean-proof-walk/ and loads when your prompt matches the skill's trigger.

When to invoke it: Use when generating formal proof chains with parallel triad verification. Invokes 3 agents (Generator +1, Coordinator 0, Validator -1) to traverse proof space via prime geodesics.

Who uses this skill

The Lean Proof Walk Claude Code skill is built for product managers, product designers, and cross-functional teams planning, shipping, and measuring product features. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 116,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/lean-proof-walk
curl -L https://claudskills.com/skills/lean-proof-walk/SKILL.md \
  -o ~/.claude/skills/lean-proof-walk/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/lean-proof-walk/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/lean-proof-walk/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\lean-proof-walk\SKILL.md on Windows. See the full install guide for step-by-step instructions.

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

See pricing → Download desktop app

Frequently asked questions

How do I install the Lean Proof Walk Claude Code skill?

Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/lean-proof-walk/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.

What does the Lean Proof Walk skill do?

Is this skill free to install?

Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.

When should I use the Lean Proof Walk skill?

Use Lean Proof Walk when your Claude Code task falls under the Product category — specifically in the product misc area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Lean Proof Walk" or describe the task and let Claude pick). Browse related skills at /category/product/.

What is a Claude Code skill and how does the Lean Proof Walk skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Lean Proof Walk is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Product category. Learn more at /learn/what-is-a-claude-skill/.

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA

ClaudSkills. (2026). Lean Proof Walk [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/lean-proof-walk/

BibTeX

@misc{lean-proof-walk-2026,
  author    = {ClaudSkills},
  title     = {Lean Proof Walk [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/lean-proof-walk/}
}

Embed this skill

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Badge

[![ClaudSkills](https://claudskills.com/badge/lean-proof-walk.svg)](https://claudskills.com/skills/lean-proof-walk/?utm_source=badge&utm_medium=readme&utm_campaign=skill_badge)

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