Theorems · Definition · category theory
CochainComplex.HomComplex.Cochain.ofHom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{F G : CochainComplex C ℤ} → (F ⟶ G) → CochainComplex.HomComplex.Cochain F G 0The 0-cochain attached to a morphism of cochain complexes.
- Cited by
- 121 results in Mathlib
- Foundations
- Depth 41 from the axioms, rests on 530 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Preadditivestatement and proof · cited by 3,309
- 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.ofHomsproof · cited by 8
Cited by141
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cochain.ofHom_vstatement · cited by 46
- CochainComplex.HomComplex.Cocycle.ofHomproof · cited by 23
- CochainComplex.mappingCone.descstatement and proof · cited by 19
- CochainComplex.mappingCone.mapproof · cited by 19
- CochainComplex.HomComplex.Cocycle.ofHom_coestatement · cited by 19
- CochainComplex.mappingCone.liftCochainproof · cited by 18
- CochainComplex.mappingCone.liftstatement and proof · cited by 12
- CochainComplex.mappingCocone.liftstatement and proof · cited by 8
- CochainComplex.mappingCone.descCocyclestatement and proof · cited by 8
- CochainComplex.mappingCone.inr_f_desc_fstatement and proof · cited by 8
- CochainComplex.HomComplex.Cochain.equivHomotopystatement and proof · cited by 8
- CochainComplex.mappingCone.mapOfHomotopyproof · cited by 7