proof-writer

Automate rigorous proof construction for formal ML/AI theory statements.

Updated Mar 1, 2026
One-click install
npx skills add https://github.com/hve4638/hve-cc-marketplace --skill proof-writer-hve4638
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/hve4638/hve-cc-marketplace/tree/main/aris/skills/proof-writer
Command: npx skills add https://github.com/hve4638/hve-cc-marketplace --skill proof-writer-hve4638

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Automates the drafting and verification of rigorous proofs for theoretical claims in ML/AI theory, reducing manual labor and error-prone reasoning.

Core Features & Use Cases

  • End-to-end proof drafting: generate complete, verifiable proofs for theorems, lemmas, and corollaries under explicit assumptions.
  • Proof critique and correction: refine partial proofs or proof sketches to satisfy formal requirements.
  • Use Case: Imagine a theorem statement with assumptions A,B; the tool produces a formal proof and justification.

Quick Start

Provide a rigorous, step-by-step proof for the given theorem and assumptions.

Frequently Asked Questions about proof-writer

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I draft rigorous proofs for formal statements in ML theory?

To draft rigorous proofs for ML theory, you provide explicit target claims, assumptions, notations, and related lemmas to generate a fully documented proof package with a justified status.

Can I use this to refine a partial proof sketch for a theorem into a formal proof?

Yes, you can refine partial proofs or proof sketches for theorems. The tool applies critique and correction to satisfy formal requirements and complete the rigorous proof construction.

What notation and assumptions do I need to provide for automated proof writing?

Automated proof writing requires explicit target claims, exact assumptions, defined notations, and any related lemmas. Providing these explicit inputs ensures the generated proof is rigorous and verifiable.

Does this proof-writing tool handle lemmas, propositions, and corollaries?

Yes, the proof-writing tool handles theorems, lemmas, propositions, and corollaries. It processes exact claims and assumptions to output a complete, verifiable proof package for each.

What is the best way to formalize an AI theory claim with exact assumptions?

The best way to formalize an AI theory claim is to supply the exact target statement and assumptions. This generates a verifiable proof package with rigorous step-by-step justification.