Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.comp_add
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G K : CochainComplex C ℤ} {n₁ n₂ n₁₂ : ℤ} (z₁ : CochainComplex.HomComplex.Cochain F G n₁)
(z₂ z₂' : CochainComplex.HomComplex.Cochain G K n₂) (h : n₁ + n₂ = n₁₂),
z₁.comp (z₂ + z₂') h = z₁.comp z₂ h + z₁.comp z₂' h- Cited by
- 6 results in Mathlib
- Foundations
- Depth 53 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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xproof · cited by 1,839
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement and proof · cited by 341
- CochainComplex.HomComplex.Cochain.vproof · cited by 213
- CochainComplex.HomComplex.Cochain.compstatement and proof · cited by 115
- CochainComplex.HomComplex.Cochain.extproof · cited by 68
- CategoryTheory.Preadditive.comp_addproof · cited by 65
- CochainComplex.HomComplex.Cochain.comp_vproof · cited by 30
Cited by6
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.inl_descCochainproof · cited by 2
- CochainComplex.mappingCone.δ_descCochainproof · cited by 1
- CochainComplex.mappingCone.inr_descCochainproof · cited by 1
- CochainComplex.mappingCone.idproof · cited by 1
- CochainComplex.mappingCone.liftCochain_descCochainproof · cited by 1
- CochainComplex.mappingCocone.δ_descCochainproof · cited by 0