Mathlib Map

Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.single_zero

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  (K L : CochainComplex C ℤ) (p q n : ℤ), CochainComplex.HomComplex.Cochain.single 0 n = 0
Defined in
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
Cited by
4 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Preadditive
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CochainComplex.HomComplex.Cochain.δ_toSingleMk · cited by 2Cochain.δ_toSingleMkCochainComplex.HomComplex.Cochain.δ_fromSingleMk · cited by 2Cochain.δ_fromSingleMkCochainComplex.HomComplex.Cochain.toSingleMk_zero · cited by 2Cochain.toSingleMk_zeroCochainComplex.HomComplex.Cochain.fromSingleMk_zero · cited by 1Cochain.fromSingleMk_zeroCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveHomologicalComplex.X · cited by 1839HomologicalComplex.XComplexShape.up · cited by 1123ComplexShape.upCochainComplex · cited by 1016CochainComplexCochainComplex.HomComplex.Cochain · cited by 341HomComplex.CochainCochainComplex.HomComplex.Cochain.ext · cited by 68Cochain.extCochainComplex.HomComplex.Cochain.single · cited by 11Cochain.singleCochainComplex.HomComplex.Cochain.single_v_eq_zero · cited by 6Cochain.single_v_eq_zeroCochainComplex.HomComplex.Cochain.single_v · cited by 5Cochain.single_vCochainComplex.HomComplex.Cochain.single_v_eq_zero' · cited by 2Cochain.single_v_eq_zero'Cochain.single_zeroCITED BYCITES

Cites12

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.