Theorems · Theorem · category theory

CategoryTheory.Functor.Final.preservesColimitsOfShape_of_final

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) [F.Final] {E : Type u₃} [inst_3 : CategoryTheory.Category.{v₃, u₃} E] {B : Type u₄}
  [inst_4 : CategoryTheory.Category.{v₄, u₄} B] (H : CategoryTheory.Functor E B)
  [CategoryTheory.Limits.PreservesColimitsOfShape C H], CategoryTheory.Limits.PreservesColimitsOfShape D H

Defined in

Mathlib.CategoryTheory.Limits.Final

Cited by

2 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.FinalCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesColimitsOfShape