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limits-colimits - Limits Colimits Problem Solving in Category Theory

Problem-solving strategies for limits and colimits in category theory

Tags

Updated: 2026-02-12

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • identify limit types
  • verify universal property
  • compute limits concretely
  • preserve limits via adjunctions

Inputs

  • category theory problems
  • Lean4 code
  • mathematical equations
  • diagrams

Outputs

  • limit constructions
  • universal property proofs
  • computed solutions
  • Lean4 proofs

Requirements

  • Lean4 environment
  • CategoryTheory.Limits module
  • Bash access
  • Read tool

Source

  • Spec: SKILL.md
category-theory
limits
colimits
mathematics
formal-proof
identify limit types
verify universal property
compute limits concretely
preserve limits via adjunctions
category theory problems
Lean4 code
mathematical equations
limit constructions
universal property proofs
computed solutions