Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.d_comp_ofHoms_v
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} (ψ : (p : ℤ) → F.X p ⟶ G.X p) (p' p q : ℤ) (hpq : p + 0 = q),
CategoryTheory.CategoryStruct.comp (F.d p' p) ((CochainComplex.HomComplex.Cochain.ofHoms ψ).v p q hpq) =
CategoryTheory.CategoryStruct.comp (F.d p' q) (ψ q)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 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.compstatement and proof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- add_zeroproof · cited by 2,707
- HomologicalComplex.Xstatement and proof · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- HomologicalComplex.dstatement and proof · cited by 598
- CochainComplex.HomComplex.Cochain.vstatement · cited by 213
- CochainComplex.HomComplex.Cochain.ofHoms_vproof · cited by 13
- CochainComplex.HomComplex.Cochain.ofHomsstatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cochain.d_comp_ofHom_vproof · cited by 0