Theorems · Definition · category theory

CategoryTheory.Functor.leftDerived

{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] →
          [CategoryTheory.HasProjectiveResolutions C] →
            [inst_4 : CategoryTheory.Abelian D] →
              (F : CategoryTheory.Functor C D) → [F.Additive] → ℕ → CategoryTheory.Functor C D

The left derived functors of an additive functor.

Defined in

Mathlib.CategoryTheory.Abelian.LeftDerived

Cited by

29 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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