Can this skill automatically edit my Lean code?

No, this is a research-focused skill. It provides information, summaries, and clickable citations to guide your work, but it does not perform code edits in this mode.

Which search engines does this skill support?

The skill utilizes lean_leansearch, lean_loogle, and lean_leanfinder to ensure comprehensive coverage of the Lean ecosystem.

What is the Lean Theorem Research skill?

It is a specialized capability for Claude Code designed to find and cite mathematical definitions and proofs within the Lean community's Mathlib and local projects.

How do clickable citations work in this skill?

Results are cited using the file_path:line_number format, making them alt+clickable for immediate navigation within VSCode.

Lean Theorem Research

Name: Lean Theorem Research
Author: jeffrey-dot-li

byjeffrey-dot-li

0•

Aprendizaje y Documentación

Searches and identifies mathematical theorems and concepts within Lean's Mathlib to facilitate formal proof development.

This skill empowers users to navigate the vast Lean mathematical library (Mathlib) by leveraging specialized tools like Loogle and LeanSearch. It helps researchers find existing proofs, identify missing components for new theorems, and obtain precise file locations for existing declarations. By providing structured summaries and clickable citations, it streamlines the process of formalizing mathematics and mapping out project dependencies within the Lean ecosystem.

Características Principales

01Gap analysis to identify available building blocks for new theorems

02Integrated Mathlib searching via Loogle, LeanSearch, and Leanfinder

03Precise source location mapping with file paths and line numbers

04Local project analysis to check for existing Lean declarations

050 GitHub stars

06Detailed signature retrieval using hover info and declaration data

Casos de Uso

01Gathering prerequisite lemmas for constructing a complex new formal proof

02Conducting a dependency audit for formal verification projects

03Verifying if a specific mathematical concept is already formalized in Mathlib

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add jeffrey-dot-li/lean-homology research

For use in Claude.ai and ChatGPT

Características Principales

01Gap analysis to identify available building blocks for new theorems

02Integrated Mathlib searching via Loogle, LeanSearch, and Leanfinder

03Precise source location mapping with file paths and line numbers

04Local project analysis to check for existing Lean declarations

050 GitHub stars

06Detailed signature retrieval using hover info and declaration data

Casos de Uso

01Gathering prerequisite lemmas for constructing a complex new formal proof

02Conducting a dependency audit for formal verification projects

03Verifying if a specific mathematical concept is already formalized in Mathlib

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add jeffrey-dot-li/lean-homology research

For use in Claude.ai and ChatGPT