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limits-colimits - Limits and Colimits Problem Solving in Category Theory

Problem-solving strategies for limits and colimits in category theory

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Updated: 2026-02-13

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • identify limit types
  • verify universal properties
  • compute limits concretely
  • handle Lean4 syntax
  • solve equations with sympy

Inputs

  • category theory problems
  • limit/colimit questions
  • mathematical expressions

Outputs

  • limit identification results
  • mathematical proofs
  • equation solutions
  • Lean4 code

Requirements

  • Bash environment
  • file read permissions
  • Lean4 math libraries
  • Sympy computation

Source

  • Spec: SKILL.md

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mathematics
category-theory
limits
computation
identify limit types
verify universal properties
compute limits concretely
handle Lean4 syntax
category theory problems
limit/colimit questions
mathematical expressions
limit identification results
mathematical proofs
equation solutions