# Axiomatic Prover

> Use this tool when you need to formally verify mathematical statements or prove theorems, and want to leverage the Lean 4 proof assistant for structured proof exploration and tactic application. It takes Lean 4 code as input and outputs proven theorems and formalized mathematical statements, utilizing the Mathlib library for comprehensive mathematical reasoning. Ideal for use cases requiring rigorous mathematical verification and validation, such as formalizing algorithms or verifying software correctness.

Canonical page: https://skillsregistry.net/skills/prover  
JSON: https://api.skillsregistry.net/v1/skills/prover

## Description

Enables AI agents to interact with the Lean 4 proof assistant for formal mathematics. Compiles Lean 4 code, proves theorems, and formalizes mathematical statements using the Mathlib library. Supports structured proof exploration, tactic application, and error-guided refinement through a hosted endpoint.

## Trust

- **Trust score (0–1):** 1.00
- **Verification tier:** verified
- **Last scanned:** 2026-09-28

## Facts

- **Version:** 1.0.0
- **Skill type:** atomic
- **Execution layer:** mcp-remote
- **Runtime environment:** api
- **Category:** ai-ml
- **Updated:** 2026-09-28

## Source

- **Source listing:** [PulseMCP](https://www.pulsemcp.com/servers/prover)
- **Repository:** <https://github.com/axiomatic-ai/ax-prover-base-mcp>

## Use it

Resolve this record through the SkillsRegistry MCP server (no auth, read-only):

```
claude mcp add --transport http --scope user skillsregistry https://api.skillsregistry.net/mcp
```

```json
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "get_skill",
    "arguments": {
      "slug": "prover"
    }
  }
}
```

REST: `GET https://api.skillsregistry.net/v1/skills/prover` · pull for local use: `GET https://api.skillsregistry.net/v1/skills/prover/pull`

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SkillsRegistry indexes agent skills from public registries and GitHub. Skills we have analysed are scanned with Circle-IR and scored on six dimensions; each listing states its scan coverage. More: https://skillsregistry.net/llms.txt
