Theorems · Theorem · category theory
CochainComplex.HomComplex.leftHomologyData_i_hom_apply
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
(K L : CochainComplex C ℤ) (n : ℤ) (x : CochainComplex.HomComplex.Cocycle K L n),
(AddCommGrpCat.Hom.hom (CochainComplex.HomComplex.leftHomologyData K L n).i) x = ↑x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- AddCommGrpCatstatement · cited by 462
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- HomologicalComplex.scstatement · cited by 205
- CategoryTheory.ShortComplex.LeftHomologyData.istatement and proof · cited by 144
- CochainComplex.HomComplex.Cocyclestatement and proof · cited by 130
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