Theorems · Theorem · category theory

CategoryTheory.HasExt.hasSmallLocalizedShiftedHom_of_isLE_of_isGE

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] [CategoryTheory.HasExt C]
  (K L : CochainComplex C ℤ) (a b : ℤ) [K.IsGE a] [K.IsLE a] [L.IsGE b] [L.IsLE b],
  CategoryTheory.Localization.HasSmallLocalizedShiftedHom (HomologicalComplex.quasiIso C (ComplexShape.up ℤ)) ℤ K L

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.TStructure

Cited by

0 results in Mathlib

Foundations

Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasExtCochainComplex.IsGECochainComplex.IsLECochainComplex.IsGECochainComplex.IsLE