Theorems · Theorem · category theory

CategoryTheory.Limits.preservesFiniteCoproducts_rightOp

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

If F : Cᵒᵖ ⥤ D preserves finite products, then F.rightOp : C ⥤ Dᵒᵖ preserves finite coproducts.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Opposites

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesFiniteProducts