Theorems · Theorem · category theory

CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD_pageD_assoc

∀ {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 pq' pq'' : κ) {Z : C}
  (h : CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX X data r pq'' hr ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD X data r pq pq' hr)
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD X data r pq' pq'' hr) h) =
    CategoryTheory.CategoryStruct.comp 0 h

Defined in

Mathlib.Algebra.Homology.SpectralObject.SpectralSequence

Cited by

0 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianPreorder