Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.ofHom_v
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} (φ : F ⟶ G) (p : ℤ), (CochainComplex.HomComplex.Cochain.ofHom φ).v p p ⋯ = φ.f p- Cited by
- 46 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- add_zerostatement · cited by 2,707
- HomologicalComplex.Xstatement · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- HomologicalComplex.Hom.fstatement and proof · cited by 845
- CochainComplex.HomComplex.Cochain.vstatement · cited by 213
- CochainComplex.HomComplex.Cochain.ofHomstatement · cited by 121
- CochainComplex.HomComplex.Cochain.ofHoms_vproof · cited by 13
Cited by46
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.inr_f_desc_fproof · cited by 8
- CochainComplex.HomComplex.Cochain.comp_idproof · cited by 4
- CochainComplex.mappingCone.inr_f_descCochain_vproof · cited by 4
- CochainComplex.mappingCocone.inr_v_descCochain_vproof · cited by 3
- CochainComplex.HomComplex.Cochain.id_compproof · cited by 3
- CochainComplex.mappingCone.inr_fstproof · cited by 2
- CochainComplex.mappingCone.inr_sndproof · cited by 2
- CochainComplex.mappingCocone.lift_f_fst_fproof · cited by 2
- CochainComplex.mappingConeCompHomotopyEquiv_comm₂proof · cited by 2
- CochainComplex.mappingCone.descShortComplex_naturalityproof · cited by 2
- CochainComplex.mappingCone.inl_fstproof · cited by 2
- CochainComplex.MappingConeCompHomotopyEquiv.hom_inv_idproof · cited by 2