Theorems · Theorem · category theory

FunctorToFintypeCat.naturality

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (F G : CategoryTheory.Functor C FintypeCat) {X Y : C}
  (σ : F ⟶ G) (f : X ⟶ Y) (x : (F.obj X).obj),
  (CategoryTheory.ConcreteCategory.hom (σ.app Y)) ((CategoryTheory.ConcreteCategory.hom (F.map f)) x) =
    (CategoryTheory.ConcreteCategory.hom (G.map f)) ((CategoryTheory.ConcreteCategory.hom (σ.app X)) x)

Defined in

Mathlib.CategoryTheory.FintypeCat

Cited by

2 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category