proof-writer

Produce rigorous proof packages for ML/AI theory claims with dependency maps.

2|1|Updated Apr 19, 2026
One-click install
npx skills add https://github.com/raja21068/AutoResearch --skill proof-writer-raja21068
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/raja21068/AutoResearch/tree/main/skills/aris/proof-writer
Command: npx skills add https://github.com/raja21068/AutoResearch --skill proof-writer-raja21068

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

It helps you turn a theorem statement or proof sketch into a mathematically rigorous, assumption-checked proof package without fabricating missing steps.

Core Features & Use Cases

  • Proof feasibility triage: Determines whether the claim is provable as stated, needs extra assumptions, or is not currently justified.
  • Dependency-aware rigor: Builds a dependency map and tracks which assumptions justify each nontrivial step.
  • Proof package output: Writes an appendix-ready proof structure (including claim, status, assumptions, notation, strategy, and verification checks).

Quick Start

Ask it to prove your theorem by providing the exact statement and assumptions, and specify that it should update PROOF_PACKAGE.md with a status, dependency map, and a fully justified proof.

Frequently Asked Questions about proof-writer

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

FAQPage Schema
How do I write rigorous mathematical proofs for machine learning theory without fabricating missing steps?

To write rigorous mathematical proofs for machine learning theory, you provide a theorem statement and assumptions to generate a fully justified proof package. This process enforces proof-status triage, explicit notation separation, and a verification pass to avoid unjustified steps.

What is proof feasibility triage and how does it validate ML theorem assumptions?

Proof feasibility triage evaluates whether an ML theorem is provable as stated, requires additional assumptions, or remains unjustified. It systematically validates theorem assumptions by mapping dependencies and tracking which assumptions justify each nontrivial mathematical step.

How do I formalize a proof sketch into an appendix-ready mathematical proof package?

You formalize a proof sketch by submitting it with your theorem statement and assumptions. The system completes missing steps, structures the strategy and dependency map, and outputs an appendix-ready proof package with verification checks.

Can I assess whether a claimed theorem proof can be completed under stated assumptions?

Yes, you can assess whether a claimed theorem proof can be completed by providing the claim, stated assumptions, and existing proof sketch. The triage process determines if the proof is valid, needs extra assumptions, or cannot be justified as stated.

What are the limitations of automated theorem proving for AI theory claims?

Automated theorem proving for AI theory claims is limited by the accuracy of your provided assumptions and notation, meaning it cannot justify steps beyond stated dependencies. It relies on proof-status triage to identify missing assumptions rather than inventing them.