natural-transformations
CommunityCategory theory natural transformations
Education & Research#lean 4#mathematics#category theory#functors#natural transformations#yoneda lemma
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This skill provides strategies and Lean 4 code snippets for solving problems related to natural transformations in category theory.
Core Features & Use Cases
- Verify Naturality: Understand and implement the commutativity diagram for natural transformations.
- Component Analysis: Define and work with the individual components of a natural transformation.
- Natural Isomorphism: Identify when a natural transformation is an isomorphism.
- Functor Category: Understand natural transformations as morphisms in functor categories.
- Yoneda Lemma Application: Apply the Yoneda Lemma in the context of natural transformations.
Quick Start
Use the natural-transformations skill to verify the naturality of a transformation eta between functors F and G in Lean 4.
Dependency Matrix
Required Modules
None requiredComponents
scriptsreferences
💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: natural-transformations Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#natural-transformations Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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