proof-writer

Generate rigorous mathematical proofs for ML/AI theoretical claims.

2|Updated Aug 12, 2025
One-click install
npx skills add https://github.com/goupup-ai/miccai25 --skill proof-writer-goupup-ai
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/goupup-ai/miccai25/tree/main/ARIS/skills/proof-writer
Command: npx skills add https://github.com/goupup-ai/miccai25 --skill proof-writer-goupup-ai

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill eliminates the risk of producing incomplete, incorrect, or unrigorous mathematical proofs for ML/AI theoretical claims (theorems, lemmas, propositions, corollaries), which can invalidate research findings, lead to retracted papers, or waste hours of revision time.

Core Features & Use Cases

  • Rigorous Proof Generation: Produces complete, step-by-step proofs with explicit justifications for every nontrivial implication, no hand-waving or hidden gaps.
  • Feasibility Triage: Classifies claims as provable as stated, provable with extra assumptions, or not currently justified, to avoid fabricating invalid proofs.
  • Use Case: When submitting a MICCAI 2025 paper, use this Skill to verify the proof of your FMC-Net's theoretical guarantees, or identify missing assumptions needed to make your segmentation accuracy claim hold.

Quick Start

Use the proof-writer skill to generate a complete, rigorous proof package for the lemma stating that the multi-granularity SSM in FMC-Net captures long-range vertebral feature dependencies with linear computational complexity.

Frequently Asked Questions about proof-writer

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

FAQPage Schema
How do I generate rigorous mathematical proofs for machine learning theoretical claims?

To generate rigorous mathematical proofs for machine learning theoretical claims, use a proof generation workflow that produces step-by-step justifications for every nontrivial implication. This ensures your ML theorems and lemmas have no hidden gaps or hand-waving.

Can I identify missing assumptions that block my AI theory proof validity?

Yes, you can identify missing assumptions that block AI theory proof validity through feasibility triage. This process transparently classifies claims as provable as stated, provable with extra assumptions, or currently non-justifiable to prevent fabricating invalid proofs.

What is the best way to validate theorem proofs before academic paper submission?

The best way to validate theorem proofs before academic paper submission is to enforce strict mathematical rigor by requiring explicit justifications for all nontrivial implications and explicit handling of boundary cases. This transparent reporting verifies theorem validity.

Does automated proof verification work for completing proof sketches in ML research?

Automated proof verification works for completing proof sketches in ML research by rigorously drafting missing steps and verifying the entire mathematical argument. It applies to academic workflows involving theoretical claim validation and proposition completion.

When should I not use automated mathematical proof generation for AI theorems?

You should not use automated mathematical proof generation for AI theorems when a claim is classified as currently non-justifiable. Forcing proof generation in such cases risks fabricating invalid proofs and producing incomplete mathematical arguments for your research.

How do I handle boundary cases when drafting mathematical proofs for machine learning models?

To handle boundary cases when drafting mathematical proofs for machine learning models, enforce strict mathematical rigor by requiring explicit handling of all edge conditions. This transparent reporting ensures nontrivial implications are fully justified without hidden gaps.