Theorems · Definition · category theory
CategoryTheory.SpectralSequence.Hom.hom
{C : Type u_1} →
[inst : CategoryTheory.Category.{u_3, u_1} C] →
[inst_1 : CategoryTheory.Abelian C] →
{κ : Type u_2} →
{c : ℤ → ComplexShape κ} →
{r₀ : ℤ} →
{E E' : CategoryTheory.SpectralSequence C c r₀} →
E.Hom E' →
(r : ℤ) →
(hr : autoParam (r₀ ≤ r) CategoryTheory.SpectralSequence.Hom._auto_1) → E.page r ⋯ ⟶ E'.page r ⋯the morphism of homological complexes between the rth pages
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 32,603
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.SpectralSequence.pagestatement · cited by 42
- CategoryTheory.SpectralSequencestatement and proof · cited by 22
- CategoryTheory.SpectralSequence.Homstatement and proof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.SpectralSequence.pageFunctorproof · cited by 5
- CategoryTheory.SpectralSequence.Hom.extstatement and proof · cited by 2
- CategoryTheory.SpectralSequence.comp_homstatement and proof · cited by 1
- CategoryTheory.SpectralSequence.hom_extstatement and proof · cited by 1
- CategoryTheory.SpectralSequence.Hom.commstatement · cited by 1
- CategoryTheory.SpectralSequence.comp_hom_assocstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.hom_ext_iffstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.id_homstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.Hom.comm_assocstatement and proof · cited by 0
- CategoryTheory.SpectralSequence.pageFunctor_mapstatement · cited by 0
- CategoryTheory.SpectralSequence.Hom.ext_iffstatement and proof · cited by 0