Theorems · Inductive type · category theory
CochainComplex.ConnectData
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] → ChainComplex C ℕ → CochainComplex C ℕ → Type vGiven K : ChainComplex C ℕ and L : CochainComplex C ℕ, this data
allows to connect K and L in order to get a cochain complex indexed by ℤ,
see ConnectData.cochainComplex.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Limits.HasZeroMorphismsstatement · cited by 3,275
- CochainComplexstatement · cited by 1,016
- ChainComplexstatement · cited by 350
Cited by44
Results whose statement or proof uses this declaration.
- CochainComplex.ConnectData.cochainComplexstatement and proof · cited by 15
- CochainComplex.ConnectData.d₀statement and proof · cited by 12
- CochainComplex.ConnectData.dstatement and proof · cited by 9
- CochainComplex.ConnectData.mapstatement and proof · cited by 6
- CochainComplex.ConnectData.restrictionGEIsostatement and proof · cited by 3
- CochainComplex.ConnectData.restrictionLEIsostatement and proof · cited by 3
- tateComplexConnectDatastatement · cited by 3
- CochainComplex.ConnectData.d_negSuccstatement and proof · cited by 2
- CochainComplex.ConnectData.d₀_compstatement and proof · cited by 2
- CochainComplex.ConnectData.homologyIsoNegstatement and proof · cited by 2
- CochainComplex.ConnectData.homologyIsoPosstatement and proof · cited by 2
- CochainComplex.ConnectData.map_fstatement and proof · cited by 2