Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.Grothendieck.map_comp_eq

∀ {𝒮 : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} 𝒮]
  {F G H : CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete 𝒮) CategoryTheory.Cat} (α : F ⟶ G) (β : G ⟶ H),
  CategoryTheory.Pseudofunctor.Grothendieck.map (CategoryTheory.CategoryStruct.comp α β) =
    (CategoryTheory.Pseudofunctor.Grothendieck.map α).comp (CategoryTheory.Pseudofunctor.Grothendieck.map β)

Defined in

Mathlib.CategoryTheory.Bicategory.Grothendieck

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category