Theorems · Definition · category theory

CategoryTheory.Functor.rightOp

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor Cᵒᵖ D → CategoryTheory.Functor C Dᵒᵖ

Another variant of the opposite of functor, turning a functor Cᵒᵖ ⥤ D into a functor C ⥤ Dᵒᵖ. In informal mathematics no distinction is made.

Defined in

Mathlib.CategoryTheory.Opposites

Cited by

214 results in Mathlib

Foundations

Depth 12 from the axioms, rests on 59 definitions · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category