Theorems · Theorem · category theory

CategoryTheory.Limits.preservesFiniteColimits_of_natIso

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F G : CategoryTheory.Functor C D} (h : F ≅ G) [CategoryTheory.Limits.PreservesFiniteColimits F],
  CategoryTheory.Limits.PreservesFiniteColimits G

Transfer preservation of finite colimits along a natural isomorphism in the functor.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Finite

Cited by

3 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesFiniteColimits