Theorems · Definition · category theory

CategoryTheory.Equivalence.op

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

An equivalence between categories gives an equivalence between the opposite categories.

Defined in

Mathlib.CategoryTheory.Opposites

Cited by

57 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category