Theorems · Definition · category theory

CategoryTheory.Equivalence.changeFunctor

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

If e : C ≌ D is an equivalence of categories, and iso : e.functor ≅ G is an isomorphism, then there is an equivalence of categories whose functor is G.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

10 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category