Theorems · Theorem · category theory
HomologicalComplex.homologicalComplexToDGO_map_f
∀ {β : Type u_1} [inst : AddCommGroup β] (b : β) (V : Type u_2) [inst_1 : CategoryTheory.Category.{v_1, u_2} V]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms V] {X Y : HomologicalComplex V (ComplexShape.up' b)} (f : X ⟶ Y)
(i : β), ((HomologicalComplex.homologicalComplexToDGO b V).map f).f i = f.f i- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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
- Quiver.Homstatement and proof · cited by 32,603
- AddCommGroupstatement and proof · cited by 12,871
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- HomologicalComplex.Hom.fstatement · cited by 845
- HomologicalComplex.dstatement · cited by 598
- CategoryTheory.Discrete.asstatement · cited by 269
- CategoryTheory.DifferentialObjectstatement · cited by 61
- CategoryTheory.DifferentialObject.Hom.fstatement and proof · cited by 28
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