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Independent project, not affiliated with Anthropic
axiomatic-ai avatar

Prover

axiomatic-ai/ax-prover-base-mcp
HTTPregistry active
Summary

Connects Claude to Axiomatic AI's Lean 4 theorem proving infrastructure over streamable HTTP. You get three core operations: lean4_build compiles code in a Mathlib sandbox, lean4_prove_theorems automatically fills in sorry placeholders using AI, and lean4_get_job_status polls for results since compilation and proving run async. Authentication happens through GitHub OAuth that your MCP client handles. Reach for this when you're formalizing mathematics or need to verify proofs without running a local Lean environment. Code gets sent to their cloud for both compilation and AI processing, so it's trading convenience for keeping everything on your machine.

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Axiomatic Prover — MCP Server

Lean 4 MCP server: compile and prove theorems with Mathlib.

Connect

Add to your MCP client (e.g. Claude Desktop claude_desktop_config.json):

{
  "mcpServers": {
    "ax-prover": {
      "type": "streamable-http",
      "url": "https://prover.axiomatic-ai.com/mcp/"
    }
  }
}

Authentication uses OAuth 2.1 via GitHub — your MCP client handles the flow automatically.

Tools

Submit (async — returns a job_id)

ToolDescription
lean4_buildCompile Lean 4 source code in a Mathlib-enabled sandbox. Code is sent to external cloud services for compilation; if proving, also for AI processing.
lean4_prove_theoremsAutomatically prove Lean 4 theorems that contain sorry. Code is sent to external cloud services for compilation and AI proving.

Poll

ToolDescription
lean4_get_job_statusPoll for the status and result of any ax-prover job.

All submit tools are asynchronous — they return a job_id immediately. Poll with lean4_get_job_status(job_id) until status is completed or failed.

Links

  • axiomatic-ai.com
  • MCP Registry
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Registryactive
TransportHTTP
UpdatedFeb 23, 2026
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