proof

Develop, verify, and refine mathematical proofs for academic research.

2|1|Updated Feb 18, 2026
One-click install
npx skills add https://github.com/queelius/claude-anvil --skill proof-queelius
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof
Source: https://github.com/queelius/claude-anvil/tree/main/papermill/skills/proof
Command: npx skills add https://github.com/queelius/claude-anvil --skill proof-queelius

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This Skill assists researchers in the rigorous development, verification, and clear presentation of mathematical proofs, ensuring logical correctness and readability.

Core Features & Use Cases

  • Proof Strategy Selection: Guides the choice of appropriate proof techniques (direct, contradiction, induction, etc.).
  • Logical Verification: Identifies gaps, checks for correctness, and ensures quantifier accuracy.
  • Presentation Assistance: Helps structure proofs for clarity, using signposting and appropriate mathematical environments.
  • Use Case: A researcher is struggling to prove a complex theorem. They can use this Skill to get help in selecting a proof strategy, developing the steps, and ensuring the final proof is logically sound and easy for others to understand.

Quick Start

Use the proof skill to help me develop a proof for the statement that the sum of two even numbers is even.

Frequently Asked Questions about proof

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

FAQPage Schema
How do I verify the logical correctness of a mathematical proof?

To verify a mathematical proof, the Skill checks logical correctness by identifying gaps, ensuring quantifier accuracy, and validating that each step follows logically from prior established statements.

What is the best way to select a proof strategy for a complex theorem?

Selecting a proof strategy involves evaluating direct, contradiction, or induction approaches. This Skill guides strategy selection by analyzing the theorem to recommend the most viable mathematical technique.

Can I get help refining and structuring an existing mathematical proof draft?

Yes, you can refine an existing draft. The Skill aids in clear mathematical writing by restructuring proofs for readability, adding signposting, and applying appropriate mathematical environments.

How do I check for logical gaps when constructing a mathematical proof from scratch?

To check for gaps when constructing a proof from scratch, the Skill develops the steps sequentially while validating logical flow, ensuring quantifier accuracy, and verifying the overall mathematical correctness.

Does this Skill work with formal verification and mathematical logic?

Yes, it works with formal verification and mathematical logic by rigorously checking logical correctness, validating quantifier accuracy, and ensuring the theorem proof meets strict academic research standards.