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Theorems · Theorem · category theory

CategoryTheory.ShortComplex.HomologyData.canonical_iso_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) [inst_2 : S.HasHomology],
  (CategoryTheory.ShortComplex.HomologyData.canonical S).iso.hom = CategoryTheory.CategoryStruct.id S.homology
Defined in
Mathlib.Algebra.Homology.ShortComplex.Homology
Cited by
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Foundations
Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.ShortComplex.HasHomology
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.ShortComplex · cited by 1850CategoryTheory.ShortCompl…CategoryTheory.ShortComplex.HasHomology · cited by 253ShortComplex.HasHomologyCategoryTheory.ShortComplex.LeftHomologyData.H · cited by 236LeftHomologyData.HCategoryTheory.ShortComplex.homology · cited by 216ShortComplex.homologyCategoryTheory.ShortComplex.HomologyData.iso · cited by 45HomologyData.isoCategoryTheory.ShortComplex.HomologyData.canonical · cited by 10HomologyData.canonicalCategoryTheory.ShortComplex.LeftHomologyData.canonical · cited by 7LeftHomologyData.canonicalHomologyData.canonical_iso_homCITED BYCITES

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