Theorems · Definition · category theory
CochainComplex.HomComplex.Cochain.mk
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{F G : CochainComplex C ℤ} →
{n : ℤ} → ((p q : ℤ) → p + n = q → (F.X p ⟶ G.X q)) → CochainComplex.HomComplex.Cochain F G nA practical constructor for cochains.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement and proof · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement · cited by 341
- CochainComplex.HomComplex.Tripletproof · cited by 16
- CochainComplex.HomComplex.Triplet.pproof · cited by 12
- CochainComplex.HomComplex.Triplet.qproof · cited by 12
Cited by26
Results whose statement or proof uses this declaration.
- CochainComplex.HomComplex.Cochain.compproof · cited by 115
- CochainComplex.HomComplex.δproof · cited by 102
- CochainComplex.mappingCone.inlproof · cited by 61
- CochainComplex.mappingCone.fstproof · cited by 51
- CochainComplex.HomComplex.Cochain.rightShiftproof · cited by 25
- CochainComplex.HomComplex.Cochain.leftShiftproof · cited by 23
- CochainComplex.HomComplex.Cochain.rightUnshiftproof · cited by 18
- CochainComplex.HomComplex.Cochain.shiftproof · cited by 14
- CochainComplex.HomComplex.Cochain.leftUnshiftproof · cited by 13
- CochainComplex.HomComplex.Cochain.singleproof · cited by 11
- CochainComplex.mappingCone.inr_f_fst_vproof · cited by 9
- CochainComplex.HomComplex.Cochain.ofHomsproof · cited by 8