Theorems · Theorem · category theory
CategoryTheory.ShortComplex.HasHomology.condition
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.Limits.HasZeroMorphisms C}
{S : CategoryTheory.ShortComplex C} [self : S.HasHomology], Nonempty S.HomologyDatathe condition that there exists a homology data
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- Depth 4 from the axioms · uses no axioms
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.HasHomologystatement and proof · cited by 253
- CategoryTheory.ShortComplex.HomologyDatastatement · cited by 102
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.homologyDataproof · cited by 33