Theorems · Theorem · category theory
CategoryTheory.SpectralSequence.pageFunctor_map
∀ (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 r : ℤ) (hr : autoParam (r₀ ≤ r) CategoryTheory.SpectralSequence.pageFunctor._auto_1)
{X Y : CategoryTheory.SpectralSequence C c r₀} (f : X ⟶ Y),
(CategoryTheory.SpectralSequence.pageFunctor C c r₀ r hr).map f = f.hom r ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.Functor.mapstatement and proof · cited by 8,698
- 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.Hom.homstatement · cited by 10
- CategoryTheory.SpectralSequence.pageFunctorstatement and proof · cited by 5
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