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Theorems · Theorem · category theory

DerivedCategory.Plus.Qh_map_bijective_of_isKInjective

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
  [inst_2 : HasDerivedCategory C] (K L : HomotopyCategory.Plus C),
  CochainComplex.IsKInjective L.obj.as → Function.Bijective DerivedCategory.Plus.Qh.map
Defined in
Mathlib.Algebra.Homology.DerivedCategory.Plus
Cited by
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Foundations
Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianHasDerivedCategory
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianHomologicalComplex · cited by 1691HomologicalComplexCategoryTheory.ObjectProperty.FullSubcategory.obj · cited by 1316FullSubcategory.objComplexShape.up · cited by 1123ComplexShape.upFunction.Bijective · cited by 863Function.BijectiveHasDerivedCategory · cited by 190HasDerivedCategoryDerivedCategory · cited by 165DerivedCategoryHomotopyCategory · cited by 132HomotopyCategoryCategoryTheory.Quotient.as · cited by 47Quotient.asDerivedCategory.Qh · cited by 27DerivedCategory.QhFunction.Bijective.of_comp_iff' · cited by 26Bijective.of_comp_iff'Plus.Qh_map_bijective_of_isKI…CITED BYCITES

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