Theorems · Theorem · category theory

CategoryTheory.Functor.rightDerived_fac_assoc

∀ {C : Type u_3} {D : Type u_1} {H : Type u_2} [inst : CategoryTheory.Category.{v_1, u_3} C]
  [inst_1 : CategoryTheory.Category.{v_3, u_1} D] [inst_2 : CategoryTheory.Category.{v_5, u_2} H]
  (RF : CategoryTheory.Functor D H) {F : CategoryTheory.Functor C H} {L : CategoryTheory.Functor C D}
  (α : F ⟶ L.comp RF) (W : CategoryTheory.MorphismProperty C) [inst_3 : L.IsLocalization W]
  [inst_4 : RF.IsRightDerivedFunctor α W] (G : CategoryTheory.Functor D H) (β : F ⟶ L.comp G)
  {Z : CategoryTheory.Functor C H} (h : L.comp G ⟶ Z),
  CategoryTheory.CategoryStruct.comp α
      (CategoryTheory.CategoryStruct.comp (L.whiskerLeft (RF.rightDerivedDesc α W G β)) h) =
    CategoryTheory.CategoryStruct.comp β h

Defined in

Mathlib.CategoryTheory.Functor.Derived.RightDerived

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsLocalizationCategoryTheory.Functor.IsRightDerivedFunctor