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Theorems · Theorem · category theory

CategoryTheory.ShortComplex.RightHomologyData.wp

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S : CategoryTheory.ShortComplex C} (self : S.RightHomologyData), CategoryTheory.CategoryStruct.comp S.f self.p = 0

the cokernel condition for p

Defined in
Mathlib.Algebra.Homology.ShortComplex.RightHomology
Cited by
6 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms
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Around this declaration

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CategoryTheory.ShortComplex.RightHomologyData.map · cited by 23RightHomologyData.mapCategoryTheory.ShortComplex.RightHomologyData.op · cited by 17RightHomologyData.opCategoryTheory.ShortComplex.f_pOpcycles · cited by 5ShortComplex.f_pOpcyclesCategoryTheory.ShortComplex.RightHomologyData.hp · cited by 5RightHomologyData.hpCategoryTheory.ShortComplex.RightHomologyData.hι · cited by 3RightHomologyData.hιCategoryTheory.ShortComplex.RightHomologyData.wι · cited by 3RightHomologyData.wιCategoryTheory.ShortComplex.isIso_opcyclesMap'_of_isIso_of_epi · cited by 1ShortComplex.isIso_opcycl…CategoryTheory.ShortComplex.HasRightHomology.hasCokernel · cited by 0HasRightHomology.hasCoker…CategoryTheory.ShortComplex.RightHomologyData.wp_assoc · cited by 0RightHomologyData.wp_assocCategoryTheory.ShortComplex.RightHomologyData.wι_assoc · cited by 0RightHomologyData.wι_assocCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.ShortComplex · cited by 1850CategoryTheory.ShortCompl…CategoryTheory.ShortComplex.X₂ · cited by 1115ShortComplex.X₂CategoryTheory.ShortComplex.X₁ · cited by 889ShortComplex.X₁CategoryTheory.ShortComplex.f · cited by 653ShortComplex.fCategoryTheory.ShortComplex.RightHomologyData · cited by 211ShortComplex.RightHomolog…CategoryTheory.ShortComplex.RightHomologyData.Q · cited by 163RightHomologyData.QCategoryTheory.ShortComplex.RightHomologyData.p · cited by 84RightHomologyData.pRightHomologyData.wpCITED BYCITES

Cites11

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Cited by10

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