Theorems · Theorem · category theory
CategoryTheory.ShortComplex.abLeftHomologyData_i
∀ (S : CategoryTheory.ShortComplex Ab), S.abLeftHomologyData.i = AddCommGrpCat.ofHom (AddCommGrpCat.Hom.hom S.g).ker.subtype
- Defined in
- Mathlib.Algebra.Homology.ShortComplex.Ab
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AddSubgroupstatement · cited by 3,232
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.X₂statement · cited by 1,115
- CategoryTheory.ShortComplex.X₃statement · cited by 876
- CategoryTheory.ShortComplex.gstatement · cited by 658
- AddCommGrpCatstatement · cited by 462
- AddCommGrpCat.carrierstatement · cited by 407
- Abstatement and proof · cited by 198
- AddMonoidHom.kerstatement · cited by 158
- CategoryTheory.ShortComplex.LeftHomologyData.istatement and proof · cited by 144
- AddCommGrpCat.ofstatement · cited by 97
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