Theorems · Inductive type · category theory

CategoryTheory.Limits.CreatesFiniteColimits

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Functor C D → Type (max (max (max (max 1 u₁) u₂) v₁) v₂)

We say that a functor creates finite colimits if it creates all colimits of shape J where J : Type is a finite category.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Creates.Finite

Cited by

1 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category