name: limits-colimits description: "Problem-solving strategies for limits colimits in category theory" allowed-tools: [Bash, Read]
Limits Colimits
When to Use
Use this skill when working on limits-colimits problems in category theory.
Decision Tree
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Identify Limit Type
- Product: limit of discrete diagram
- Equalizer: limit of parallel pair f, g: A -> B
- Pullback: limit of A -> C <- B
- Terminal object: limit of empty diagram
- Lean 4:
CategoryTheory.Limitsnamespace
-
Verify Universal Property