Theorems · Theorem · category theory
HomologicalComplex.Hom.sqFrom_left
∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V]
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] {c : ComplexShape ι} {C₁ C₂ : HomologicalComplex V c}
(f : C₁.Hom C₂) (i : ι), CategoryTheory.Arrow.Hom.left (f.sqFrom i) = f.f i- Cited by
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- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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 · cited by 32,603
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.Hom.fstatement · cited by 845
- CategoryTheory.Arrow.leftstatement · cited by 426
- CategoryTheory.Arrow.mkstatement · cited by 421
- CategoryTheory.Arrow.Hom.leftstatement · cited by 160
- HomologicalComplex.xNextstatement · cited by 28
- HomologicalComplex.dFromstatement · cited by 26
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