Theorems · Theorem · category theory

CategoryTheory.Limits.reflectsColimitsOfSize_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.ReflectsLimitsOfSize.{w, w', v₁, v₂, u₁, u₂} F],
  CategoryTheory.Limits.ReflectsColimitsOfSize.{w, w', v₁, v₂, u₁, u₂} F.unop

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

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Opposites

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.ReflectsLimitsOfSize