Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.id_comp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{F G : CochainComplex C ℤ} {n : ℤ} (z₂ : CochainComplex.HomComplex.Cochain F G n),
(CochainComplex.HomComplex.Cochain.ofHom (CategoryTheory.CategoryStruct.id F)).comp z₂ ⋯ = z₂- Cited by
- 3 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- zero_addstatement and proof · cited by 2,366
- CategoryTheory.Category.id_compproof · cited by 1,998
- ComplexShape.upstatement · cited by 1,123
- 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.ofHomstatement and proof · cited by 121
- CochainComplex.HomComplex.Cochain.compstatement and proof · cited by 115
Cited by3
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCone.inl_fst_assocproof · cited by 3
- CochainComplex.mappingCone.inr_snd_assocproof · cited by 3
- CochainComplex.mappingCone.map_idproof · cited by 0