Theorems · Theorem · category theory
CochainComplex.HomComplex.Cocycle.cochain_ofHom_homOf_eq_coe
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} (z : CochainComplex.HomComplex.Cocycle F G 0),
CochainComplex.HomComplex.Cochain.ofHom z.homOf = ↑z- Cited by
- 6 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- AddSubgroupstatement · cited by 3,232
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- CochainComplex.HomComplex.Cocyclestatement and proof · cited by 130
- CochainComplex.HomComplex.Cochain.ofHomstatement · cited by 121
- CochainComplex.HomComplex.cocyclestatement · cited by 105
- CochainComplex.HomComplex.Cocycle.homOfstatement · cited by 9
- CochainComplex.HomComplex.Cocycle.ofHom_homOf_eq_selfproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.ofHom_liftproof · cited by 2
- CochainComplex.mappingCone.ofHom_descproof · cited by 1
- CochainComplex.HomComplex.CohomologyClass.toHom_mk_eq_zero_iffproof · cited by 1
- CochainComplex.mappingCocone.δ_descCochainproof · cited by 0
- CochainComplex.mappingCocone.ofHom_descproof · cited by 0
- CochainComplex.mappingCocone.ofHom_liftproof · cited by 0