categories-functors
CommunityCategory theory problem-solving
Education & Research#formal verification#mathematics#abstract algebra#category theory#lean4#functors
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill provides a structured approach to solving problems related to categories and functors in category theory, ensuring adherence to mathematical axioms and functor properties.
Core Features & Use Cases
- Axiom Verification: Guides through checking category axioms (objects, morphisms, identity, associativity).
- Functor Property Checks: Ensures functors preserve identity and composition.
- Functor Type Identification: Differentiates between covariant, contravariant, faithful, full, and equivalence functors.
- Use Case: When encountering a new mathematical structure, use this skill to systematically verify if it forms a category and if a mapping between categories qualifies as a functor.
Quick Start
Use the categories-functors skill to verify the functor properties for a given mapping F.
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: categories-functors Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#categories-functors Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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