Theorems · Theorem · category theory

CategoryTheory.Limits.hasFiniteColimits_of_hasColimits_of_createsFiniteColimits

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

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Creates.Finite

Cited by

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Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasFiniteColimitsCategoryTheory.Limits.CreatesFiniteColimits