Theorems · Theorem · category theory
Homotopy.dNext_zero_chainComplex
∀ {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Preadditive V]
{P Q : ChainComplex V ℕ} (f : (i j : ℕ) → P.X i ⟶ Q.X j), (dNext 0) f = 0- Defined in
- Mathlib.Algebra.Homology.Homotopy
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 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.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- AddMonoidHomstatement · cited by 3,230
- HomologicalComplex.Xstatement and proof · cited by 1,839
- ComplexShape.downstatement and proof · cited by 605
- ComplexShape.Relproof · cited by 518
- ChainComplexstatement and proof · cited by 350
- CategoryTheory.Limits.zero_compproof · cited by 339
- ComplexShape.nextproof · cited by 297
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