Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.single_v
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} {p q : ℤ} (f : K.X p ⟶ L.X q) (n : ℤ) (hpq : p + n = q),
(CochainComplex.HomComplex.Cochain.single f n).v p q hpq = f- Cited by
- 5 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- HomologicalComplex.Xstatement and proof · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochain.vstatement · cited by 213
- CochainComplex.HomComplex.Cochain.singlestatement · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cochain.fromSingleMk_vproof · cited by 4
- CochainComplex.HomComplex.Cochain.toSingleMk_vproof · cited by 4
- CochainComplex.HomComplex.Cochain.single_zeroproof · cited by 4
- CochainComplex.HomComplex.Cochain.δ_singleproof · cited by 2
- CochainComplex.isKInjective_of_injective_auxproof · cited by 1