Theorems · Theorem · category theory

CochainComplex.plus_pathObject

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] (K : CochainComplex C ℤ),
  CochainComplex.plus C K → CochainComplex.plus C (HomologicalComplex.pathObject K)

Defined in: Mathlib.Algebra.Homology.HomotopyCategory.Plus
Cited by: 0 results in Mathlib
Foundations: Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive CategoryTheory.Limits.HasBinaryBiproducts

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.CategoryStruct.idstatement · cited by 6,235
CategoryTheory.Preadditivestatement and proof · cited by 3,309
HomologicalComplex.Xstatement · cited by 1,839
HomologicalComplexstatement · cited by 1,691
ComplexShape.upstatement and proof · cited by 1,123
CochainComplexstatement and proof · cited by 1,016
ComplexShape.Relproof · cited by 518
CategoryTheory.Limits.biprodstatement · cited by 312
CategoryTheory.Limits.HasBinaryBiproductsstatement and proof · cited by 165
CategoryTheory.Limits.biprod.descstatement · cited by 54

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