Theorems · Definition · category theory

CategoryTheory.Iso.app

{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) → (X : C) → F.obj X ≅ G.obj X

The application of a natural isomorphism to an object. We put this definition in a different namespace, so that we can use α.app

Defined in

Mathlib.CategoryTheory.NatIso

Cited by

253 results in Mathlib

Foundations

Depth 23 from the axioms, rests on 108 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category