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math-reasoning

Derive equations and prove theorems with LaTeX-ready output.

4|1|Updated Apr 8, 2026
Search Tags:#proofs#latex#derive#notation#prove#formalize
One-click install
npx skills add https://github.com/ARAVINDAN20/Claude-Research-Paper-OS --skill math-reasoning-aravindan20
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: math-reasoning
Source: https://github.com/ARAVINDAN20/Claude-Research-Paper-OS/tree/main/.claude/skills/agent-research-skills/skills/math-reasoning
Command: npx skills add https://github.com/ARAVINDAN20/Claude-Research-Paper-OS --skill math-reasoning-aravindan20

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Formal mathematical reasoning for research papers often requires deriving equations, proving theorems, formalizing problem settings, and generating LaTeX-friendly notation. This skill provides structured, reproducible procedures to produce rigorous derivations, formal proofs, and consistent notation throughout manuscripts.

Core Features & Use Cases

  • Step-by-step equation derivation with justification for each applied rule, suitable for manuscript appendices and arXiv submissions.
  • Formal theorem proving using common techniques (direct, induction, contradiction) with LaTeX-ready output and labeled equations.
  • Formalization of informal problem descriptions into precise mathematical frameworks, including definitions, domains, and assumptions.
  • Notation-table generation and standardized LaTeX macros to maintain consistency across sections.

Quick Start

Derive a sample equation with full stepwise justification and LaTeX-ready output.

Frequently Asked Questions about math-reasoning

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

FAQPage Schema
How do I generate step-by-step mathematical derivations with LaTeX notation for a research paper?▼

To generate step-by-step mathematical derivations with LaTeX notation, this Skill applies formal rules to each equation step and outputs labeled, manuscript-ready expressions. It enforces consistent notation and justifies every applied rule for reproducible proofs.

Can I formalize an informal problem description into a precise mathematical framework for an arXiv submission?▼

Yes, you can formalize informal problem descriptions into precise mathematical frameworks. This Skill translates text into formal definitions, domains, and assumptions, producing structured notation tables and LaTeX-ready output suitable for arXiv submissions.

What is the best way to structure formal theorem proofs using induction or contradiction?▼

The best way to structure formal theorem proofs using induction or contradiction is through standardized templates. This Skill applies common proving techniques to generate reproducible proofs with step-by-step justifications and labeled equations.

Does this math reasoning approach maintain consistent notation across different sections of a manuscript?▼

Yes, this math reasoning approach maintains consistent notation across manuscript sections. It generates standardized LaTeX macros and notation tables to enforce uniformity and references standard templates for proofs throughout the document.

What limitations should I expect when formalizing math content for research papers?▼

When formalizing math content for research papers, limitations include reliance on standard proof templates and predefined notation rules. It focuses on structured derivations and formalization rather than open-ended mathematical exploration or conjecture generation.

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