proof-writer

Write rigorous mathematical proofs for machine learning and AI theory theorems.

Updated Jul 6, 2026
One-click install
npx skills add https://github.com/caw111/2026-SoftwareCup --skill proof-writer-caw111
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/caw111/2026-SoftwareCup/tree/main/.agents/skills/proof-writer
Command: npx skills add https://github.com/caw111/2026-SoftwareCup --skill proof-writer-caw111

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill solves the problem of crafting precise mathematical proofs in the field of machine learning and artificial intelligence theory, offering assistance in theorem and lemma verification, and filling in missing proof steps.

Core Features & Use Cases

  • Proof Generation:自动生成严格的数学证明。
  • Claim Validation:验证和纠正理论命题。
  • Proof Sketch Formulation:帮助形式化证明草稿。
  • Proof Checking:检查所提出的证明是否可以完成。

Quick Start

Request a proof for a given theorem, for example: "Write a proof for Fermat's Last Theorem."

Frequently Asked Questions about proof-writer

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

FAQPage Schema
How do I generate mathematical proofs for machine learning theory?

To generate mathematical proofs for machine learning theory, use this Skill to automatically write rigorous proofs for AI theorems. It handles formal mathematical proofs in research and development by carefully addressing assumptions and dependencies.

Can I verify theorem assumptions and check if a proof sketch can be completed?

Yes, you can verify theorem assumptions and check if a proof sketch can be completed. The Skill performs claim validation to verify and correct theoretical propositions, and executes proof checking to evaluate if proposed mathematical proofs can be finished.

What is the best way to fill in missing steps in a formal mathematical proof?

The best way to fill in missing steps in a formal mathematical proof is to use the proof sketch formulation feature. This Skill helps formalize proof drafts by rigorously completing missing intermediate steps while maintaining strict mathematical accuracy.

Does this proof generation tool work for general mathematics or only AI and ML theorems?

This proof generation tool is specifically designed for machine learning and AI theory theorems. It applies to situations requiring formal mathematical proofs in AI research and development, focusing on the unique assumptions and dependencies found in ML theory.

What are the limitations of automated theorem verification for AI research?

The main limitation of automated theorem verification is that it requires careful attention to underlying assumptions and dependencies. While the Skill checks proposed proofs and validates claims, rigorous mathematical verification still depends on accurate initial theorem formulation.

How does proof checking handle complex dependencies in machine learning theory proofs?

Proof checking handles complex dependencies by carefully evaluating assumptions and mathematical rigor throughout the verification process. The Skill validates theoretical propositions and checks whether proposed proofs can be completed given the specified ML theory constraints.