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/verification

Verification tools for compiling, validating, and disproving Lean theorems

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numina-lean-agent
2825 skills
Install
$ npx -y skills add project-numina/numina-lean-agent --skill verification --agent claude-code

How it fires

How this skill gets triggered: by you, by Claude, or both.

  • Fires itselfAuto-invocation. Claude auto-loads it when your prompt matches the work.Auto-invocation is when the right skill fires by itself at the right moment, driven by a FLOW.md router and a hook, instead of you invoking it by name. It is the difference between a skill being installed and a skill actually getting used.Read the full definition →
  • You can call itInvoke it directly when you want it.
  • Slash command/verification

Context preview

The summary Claude sees to decide when to auto-load this skill.

Verification tools for compiling, validating, and disproving Lean theorems

SKILL.md

verification.SKILL.md
name: verification
description: "Verification tools for compiling, validating, and disproving Lean theorems"

Verification Tools

Tools for verifying Lean code correctness.

Available Tools

| Tool | Purpose | When to use | |------|---------|-------------| | **lean-check** | Compile a Lean file and report errors (local, no API key) | First step to validate any proof attempt | | **axle verify-proof** | Validate a proof matches a formal statement | When you need to confirm a proof proves exactly the right theorem | | **axle disprove** | Attempt to disprove theorems by proving negation | Before investing effort in a proof, check if the conjecture is false |

For full parameters and examples, read the corresponding `reference-<tool>.md` file in this directory.

Ships withnumina-lean-agent

Paper | Leandex | Demo | Putnam 2025 An agent built on Claude Code for formal theorem proving tasks. We used this system to prove all 12 problems from Putnam 2025, and completed a paper-level formalization of Effective Brascamp-Lieb inequalities.

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Python
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3mo ago
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9mo ago
Created
5d ago
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Repo: project-numina/numina-lean-agent

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