Theorems · Theorem · category theory

CategoryTheory.Abelian.SpectralObject.SpectralSequence.page_X

∀ {C : Type u_1} {ι : Type u_2} {κ : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Abelian C] [inst_2 : Preorder ι] (X : CategoryTheory.Abelian.SpectralObject C ι)
  {c : ℤ → ComplexShape κ} {r₀ : ℤ} (data : CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore ι c r₀)
  (r : ℤ) (hr : r₀ ≤ r) (pq : κ),
  (CategoryTheory.Abelian.SpectralObject.SpectralSequence.page X data r hr).X pq =
    CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX X data r pq ⋯

Defined in: Mathlib.Algebra.Homology.SpectralObject.SpectralSequence
Cited by: 0 results in Mathlib
Foundations: Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Abelian Preorder

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CategoryTheory.Categorystatement and proof · cited by 32,673
Preorderstatement and proof · cited by 7,952
HomologicalComplex.Xstatement and proof · cited by 1,839
CategoryTheory.Abelianstatement and proof · cited by 1,753
ComplexShapestatement and proof · cited by 1,684
CategoryTheory.Abelian.SpectralObjectstatement and proof · cited by 453
CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCorestatement and proof · cited by 88
CategoryTheory.Abelian.SpectralObject.SpectralSequence.pagestatement and proof · cited by 29
CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageXstatement · cited by 19

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