Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.ofHom_comp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G K : CochainComplex C ℤ} (f : F ⟶ G) (g : G ⟶ K),
CochainComplex.HomComplex.Cochain.ofHom (CategoryTheory.CategoryStruct.comp f g) =
(CochainComplex.HomComplex.Cochain.ofHom f).comp (CochainComplex.HomComplex.Cochain.ofHom g) ⋯- Cited by
- 5 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- zero_addstatement · cited by 2,366
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- HomologicalComplex.Hom.fproof · cited by 845
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- CochainComplex.HomComplex.Cochain.ofHomstatement · cited by 121
- CochainComplex.HomComplex.Cochain.compstatement · cited by 115
- CochainComplex.HomComplex.Cochain.ofHomsproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cocycle.equivHomShift_compproof · cited by 1
- CochainComplex.mappingCone.δ_inlproof · cited by 1
- CochainComplex.mappingCone.δ_liftCochainproof · cited by 1
- CochainComplex.HomComplex.Cocycle.equivHomShift_comp_shiftproof · cited by 1
- CochainComplex.mappingCone.map_compproof · cited by 1