Theorems · Definition · category theory

CategoryTheory.NatIso.op

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → {F G : CategoryTheory.Functor C D} → (F ≅ G) → (G.op ≅ F.op)

The natural isomorphism between opposite functors G.op ≅ F.op induced by a natural isomorphism between the original functors F ≅ G.

Defined in

Mathlib.CategoryTheory.Opposites

Cited by

25 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category