Theorems · Theorem · category theory

CategoryTheory.Limits.reflectsFiniteLimits_of_unop

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor Cᵒᵖ Dᵒᵖ) [CategoryTheory.Limits.ReflectsFiniteColimits F.unop],
  CategoryTheory.Limits.ReflectsFiniteLimits F

If F.unop : C ⥤ D reflects finite colimits, then F : Cᵒᵖ ⥤ Dᵒᵖ reflects finite limits.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Opposites

Cited by

0 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.ReflectsFiniteColimits