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Theorems · Theorem · category theory

CochainComplex.cm5b.degreewiseEpiWithInjectiveKernel_p

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
  [inst_2 : CategoryTheory.EnoughInjectives C] (K L : CochainComplex C ℤ),
  CochainComplex.degreewiseEpiWithInjectiveKernel (CochainComplex.cm5b.p K L)
Defined in
Mathlib.Algebra.Homology.Factorizations.CM5b
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.EnoughInjectives
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CochainComplex.cm5b · cited by 1CochainComplex.cm5bCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idHomologicalComplex.X · cited by 1839HomologicalComplex.XCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianComplexShape.up · cited by 1123ComplexShape.upCochainComplex · cited by 1016CochainComplexHomologicalComplex.Hom.f · cited by 845Hom.fCategoryTheory.Limits.biprod · cited by 312Limits.biprodCochainComplex.mappingCone · cited by 181CochainComplex.mappingConeCategoryTheory.Limits.biprod.inl · cited by 127biprod.inlCategoryTheory.Limits.biprod.fst · cited by 121biprod.fstCategoryTheory.Limits.biprod.inr · cited by 109biprod.inrCategoryTheory.Limits.BinaryBiproduct.bicone · cited by 68BinaryBiproduct.biconeCategoryTheory.Limits.BinaryBicone.inl_fst · cited by 39BinaryBicone.inl_fstCategoryTheory.Limits.BinaryBicone.inl_snd · cited by 38BinaryBicone.inl_sndcm5b.degreewiseEpiWithInjecti…CITED BYCITES

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