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.