limits-colimits
CommunityCategory theory limits & colimits solver
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill provides strategies and tools for solving problems related to limits and colimits in category theory, including concrete computation and verification using Lean 4.
Core Features & Use Cases
- Limit Identification: Helps identify the type of limit (product, equalizer, pullback, terminal object).
- Universal Property Verification: Guides through verifying the universal property of a limit.
- Colimit Dualization: Provides dual strategies for colimits.
- Concrete Computation: Offers methods for computing limits in specific categories like 'Set' using tools like SymPy.
- Lean 4 Integration: Includes commands for working with limits and colimits in Lean 4.
- Use Case: When faced with a complex category theory problem involving products or pullbacks, this skill can help you systematically identify the structure, verify its properties, and even compute it using symbolic math tools or a formal verification system.
Quick Start
Use the limits-colimits skill to find the pullback of the diagram A -> C <- B.
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: limits-colimits Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#limits-colimits Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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