Theorems · Theorem · category theory
CategoryTheory.ShortComplex.abLeftHomologyData_K_coe
∀ (S : CategoryTheory.ShortComplex Ab), ↑S.abLeftHomologyData.K = ↥(AddCommGrpCat.Hom.hom S.g).ker
- 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- AddCommGrpCat.carrierstatement and proof · cited by 407
- CategoryTheory.ShortComplex.LeftHomologyData.Kstatement and proof · cited by 233
- Abstatement and proof · cited by 198
- AddMonoidHom.kerstatement · cited by 158
- AddCommGrpCat.Hom.homstatement · cited by 72
- CategoryTheory.ShortComplex.abLeftHomologyDatastatement and proof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.