Theorems · Theorem · category theory
CochainComplex.mappingCocone.inl_v_snd_v
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} (φ : K ⟶ L) [inst_2 : HomologicalComplex.HasHomotopyCofiber φ] (p q : ℤ)
(hpq : p + -1 = q),
CategoryTheory.CategoryStruct.comp ((CochainComplex.mappingCocone.inl φ).v p p ⋯)
((CochainComplex.mappingCocone.snd φ).v p q hpq) =
0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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.CategoryStruct.compstatement and proof · cited by 17,999
- mul_oneproof · cited by 3,885
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- one_mulproof · cited by 2,841
- add_zerostatement and proof · cited by 2,707
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- HomologicalComplex.Xstatement · cited by 1,839
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
Cited by1
Results whose statement or proof uses this declaration.
- CochainComplex.mappingCocone.inl_v_snd_v_assocproof · cited by 0