Theorems · Theorem · category theory

CategoryTheory.NatTrans.leftDerivedToHomotopyCategory_id

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  [inst_2 : CategoryTheory.Abelian C] [inst_3 : CategoryTheory.HasProjectiveResolutions C]
  [inst_4 : CategoryTheory.Abelian D] (F : CategoryTheory.Functor C D) [inst_5 : F.Additive],
  CategoryTheory.NatTrans.leftDerivedToHomotopyCategory (CategoryTheory.CategoryStruct.id F) =
    CategoryTheory.CategoryStruct.id F.leftDerivedToHomotopyCategory

Defined in

Mathlib.CategoryTheory.Abelian.LeftDerived

Cited by

0 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasProjectiveResolutionsCategoryTheory.AbelianCategoryTheory.Functor.Additive