Theorems · Definition · category theory

CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD

{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) →
                      (pq pq' : κ) →
                        (hr : autoParam (r₀ ≤ r) CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD._auto_1) →
                          CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX X data r pq hr ⟶
                            CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX X data r pq' hr

The differential on the rth page of the spectral sequence.

Defined in

Mathlib.Algebra.Homology.SpectralObject.SpectralSequence

Cited by

6 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianPreorder