Theorems · Theorem · category theory

CategoryTheory.Grothendieck.pre_comp_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} D]
  {F : CategoryTheory.Functor C CategoryTheory.Cat} (G : CategoryTheory.Functor D C)
  {H : CategoryTheory.Functor C CategoryTheory.Cat} (α : F ⟶ H),
  (CategoryTheory.Grothendieck.pre F G).comp (CategoryTheory.Grothendieck.map α) =
    (CategoryTheory.Grothendieck.map (G.whiskerLeft α)).comp (CategoryTheory.Grothendieck.pre H G)

Defined in

Mathlib.CategoryTheory.Grothendieck

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category