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Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.neg_comp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {F G K : CochainComplex C ℤ} {n₁ n₂ n₁₂ : ℤ} (z₁ : CochainComplex.HomComplex.Cochain F G n₁)
  (z₂ : CochainComplex.HomComplex.Cochain G K n₂) (h : n₁ + n₂ = n₁₂), (-z₁).comp z₂ h = -z₁.comp z₂ h
Defined in
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
Cited by
2 results in Mathlib
Foundations
Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Preadditive
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Around this declaration

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CochainComplex.mappingCone.δ_descCochain · cited by 1mappingCone.δ_descCochainCochainComplex.mappingCocone.δ_descCochain · cited by 0mappingCocone.δ_descCocha…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveCochainComplex · cited by 1016CochainComplexCochainComplex.HomComplex.Cochain · cited by 341HomComplex.CochainCochainComplex.HomComplex.Cochain.v · cited by 213Cochain.vCochainComplex.HomComplex.Cochain.comp · cited by 115Cochain.compCochainComplex.HomComplex.Cochain.ext · cited by 68Cochain.extCategoryTheory.Preadditive.neg_comp · cited by 31Preadditive.neg_compCochainComplex.HomComplex.Cochain.comp_v · cited by 30Cochain.comp_vCochain.neg_compCITED BYCITES

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Cited by2

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