Theorems · Theorem · category theory

CategoryTheory.functorProdToProdFunctor_map

∀ (A : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} A] (B : Type u₂) [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
  (C : Type u₃) [inst_2 : CategoryTheory.Category.{v₃, u₃} C] {X Y : CategoryTheory.Functor A (B × C)} (α : X ⟶ Y),
  (CategoryTheory.functorProdToProdFunctor A B C).map α =
    CategoryTheory.Prod.mkHom (CategoryTheory.Functor.whiskerRight α (CategoryTheory.Prod.fst B C))
      (CategoryTheory.Functor.whiskerRight α (CategoryTheory.Prod.snd B C))

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category