Theorems · Definition · category theory
CochainComplex.HomComplex.Cocycle.ofHom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{F G : CochainComplex C ℤ} → (F ⟶ G) → CochainComplex.HomComplex.Cocycle F G 0The 0-cocycle associated to a morphism in CochainComplex C ℤ.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 57 from the axioms · 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
- CochainComplex.HomComplex.Cocyclestatement · cited by 130
- CochainComplex.HomComplex.Cochain.ofHomproof · cited by 121
- CochainComplex.HomComplex.Cocycle.mkproof · cited by 6
Cited by28
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cocycle.ofHom_coestatement and proof · cited by 19
- CochainComplex.mappingCone.descproof · cited by 19
- CochainComplex.mappingCocone.inrproof · cited by 11
- CochainComplex.mappingCocone.liftproof · cited by 8
- CochainComplex.mappingCone.inr_f_desc_fproof · cited by 8
- CochainComplex.mappingCone.inl_v_desc_fproof · cited by 5
- CochainComplex.HomComplex.Cocycle.equivHomproof · cited by 4
- CochainComplex.mappingCone.rotateHomotopyEquivproof · cited by 4
- CochainComplex.HomComplex.Cocycle.equivHomShift_applystatement · cited by 2
- CochainComplex.mappingCocone.lift_f_fst_fproof · cited by 2
- CochainComplex.HomComplex.δ_ofHom_compproof · cited by 1
- CochainComplex.HomComplex.Cocycle.ofHom_homOf_eq_selfstatement and proof · cited by 1