Theorems · Theorem · category theory
CategoryTheory.SpectralSequence.Hom.ext
∀ {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} {x y : E.Hom E'},
@CategoryTheory.SpectralSequence.Hom.hom C inst inst_1 κ c r₀ E E' x =
@CategoryTheory.SpectralSequence.Hom.hom C inst inst_1 κ c r₀ E E' y →
x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.Hom.fproof · cited by 845
- HomologicalComplex.homologyMapproof · cited by 102
- CategoryTheory.SpectralSequence.pagestatement and proof · cited by 42
- CategoryTheory.SpectralSequencestatement and proof · cited by 22
- CategoryTheory.SpectralSequence.Homstatement and proof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.SpectralSequence.hom_extproof · cited by 1
- CategoryTheory.SpectralSequence.Hom.ext_iffproof · cited by 0