Theorems · Theorem · category theory
HomologicalComplex.dTo_comp_dFrom
∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V]
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] {c : ComplexShape ι} (C : HomologicalComplex V c) (j : ι),
CategoryTheory.CategoryStruct.comp (C.dTo j) (C.dFrom j) = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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.CategoryStruct.compstatement · cited by 17,999
- 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
- ComplexShape.nextproof · cited by 297
- ComplexShape.prevproof · cited by 223
- HomologicalComplex.d_comp_dproof · cited by 36
- HomologicalComplex.xNextstatement · cited by 28
- HomologicalComplex.xPrevstatement · cited by 26
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