proof-writer

Draft rigorous mathematical proofs for ML/AI theory with explicit assumptions.

Updated Apr 2, 2026
One-click install
npx skills add https://github.com/dz306271098/ARIS_for_Robotics --skill proof-writer-dz306271098
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/dz306271098/ARIS_for_Robotics/tree/main/skills/proof-writer
Command: npx skills add https://github.com/dz306271098/ARIS_for_Robotics --skill proof-writer-dz306271098

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Generates rigorous mathematical proofs for ML/AI theory, turning vague claims into verifiable arguments and closing gaps in reasoning.

Core Features & Use Cases

  • Proof construction: produces complete, corrected, or blockage reports for the given theorem, lemma, proposition, or corollary with explicit assumptions.
  • Workflow guidance: maintains a Proof Package with an exact claim, assumptions, notation, strategy, and a dependency map to support reproducibility.
  • Use case: apply to a research note asserting a new result; the tool returns a fully formed proof or a justified blockage for further refinement.

Quick Start

Provide the exact formal statement you want proved, along with any explicit assumptions and a brief sketch if available.

Frequently Asked Questions about proof-writer

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

FAQPage Schema
How do I construct rigorous mathematical proofs for machine learning theorems?

To construct rigorous mathematical proofs for ML theorems, provide the exact formal statement and explicit assumptions. The tool generates a Proof Package containing the claim, strategy, dependency map, and step-by-step justifications.

What is the best way to formalize claims and close reasoning gaps in AI theory?

The best way to formalize claims and close reasoning gaps in AI theory is to apply a structured proof construction workflow. This transforms vague research notes into verifiable arguments with explicit assumptions and step-by-step justifications.

How do I draft a formal proof for a lemma or corollary from a research note?

To draft a formal proof for a lemma or corollary from a research note, input the exact formal statement along with any available proof sketch. The tool returns a fully formed proof or a justified blockage report for further refinement.

Can I verify if a theorem proof has missing dependencies or logical blockages?

Yes, you can verify if a theorem proof has missing dependencies or logical blockages. The tool maintains a dependency map and produces a justified blockage report when it cannot complete the proof, identifying exact reasoning gaps.

Does the proof formalization process require explicit assumptions for theorems and propositions?

Yes, the proof formalization process requires explicit assumptions for theorems and propositions. Providing exact formal statements and assumptions ensures the generated proof package accurately supports reproducibility and verification.