categories-functors

What problem does it solve?

This skill provides a structured approach to solving problems related to categories and functors in category theory, including verification of axioms and properties.

Core Features & Use Cases

• Axiom Verification: Check if a given structure satisfies the axioms of a category.
• Functor Property Checking: Verify if a mapping adheres to functor properties (identity and composition preservation).
• Lean 4 Integration: Provides guidance and commands for using Lean 4 with Mathlib for formal verification.
• Use Case: When defining a new category or proving properties about existing ones, use this skill to ensure all conditions are met and to leverage formal verification tools.

Quick Start

Use the Lean4_Category tool to verify the category axioms for your defined structure.