proof-writer

Complete missing steps in mathematical proofs and validate claims from stated assumptions.

Updated May 20, 2026
One-click install
npx skills add https://github.com/lightrain-a/medtrace-aris --skill proof-writer-lightrain-a
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/lightrain-a/medtrace-aris/tree/main/.vendor/aris/skills/proof-writer
Command: npx skills add https://github.com/lightrain-a/medtrace-aris --skill proof-writer-lightrain-a

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Converts vague, incomplete, or untrusted proof attempts into mathematically honest theorem proofs, repaired statements, or clear explanations of what cannot be justified.

Core Features & Use Cases

  • Proof feasibility triage: Classifies claims as provable as stated, only provable after weakening/extra assumptions, or not currently justified.
  • Gap-proofing: Normalizes the exact claim and assumptions and ensures every nontrivial implication is explicitly justified.
  • Proof package writing: Produces an appendix-ready proof document with a dependency map, numbered steps, and boundary-case handling.

Quick Start

Ask for a proof by telling the AI the exact theorem statement and assumptions you want proved, and whether you have a sketch you want to complete, for example: "Prove the following lemma under these assumptions: [paste statement]. If needed, weaken the claim minimally and provide the corrected proof."

Frequently Asked Questions about proof-writer

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

FAQPage Schema
How do I convert a mathematical proof sketch into a rigorous theorem proof?

To convert a mathematical proof sketch into a rigorous theorem proof, provide the exact claim and stated assumptions. The system completes missing steps, formalizes the sketch, and ensures every nontrivial implication is explicitly justified.

What happens when a mathematical theorem cannot be proven from its stated assumptions?

When a theorem cannot be proven from its stated assumptions, the system performs feasibility triage to identify the blockage. It then either minimally weakens the claim to make it provable or produces a blockage report explaining what cannot be justified.

Can I use this to check assumptions and verify proofs in ML theory?

Yes, you can verify proofs in ML theory by submitting the theorem statement and assumptions. The system normalizes the exact claim, checks for quantifier or assumption issues, and validates whether the result logically follows from the given premises.

How do I fix quantifier issues and gaps in a mathematical lemma?

To fix quantifier issues and gaps in a mathematical lemma, submit the lemma along with its intended assumptions. The system normalizes the claim, identifies missing implications, and repairs the statement by adding necessary extra assumptions for logical validity.

What is the best way to generate an appendix-ready proof document with a dependency map?

The best way to generate an appendix-ready proof document is to submit the theorem and assumptions for formalization. The system writes a structured proof package featuring a dependency map, numbered steps, and explicit boundary-case handling.

Do I need to provide a complete proof draft, or can I just submit a theorem statement?

You do not need a complete proof draft; you can simply submit the exact theorem statement and assumptions. The system will perform feasibility triage and build the rigorous proof from scratch or complete any partial sketch you provide.