Theorems · Definition · category theory
CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX
{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] →
CategoryTheory.Abelian.SpectralObject C ι →
{c : ℤ → ComplexShape κ} →
{r₀ : ℤ} →
CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore ι c r₀ →
(r : ℤ) →
κ → autoParam (r₀ ≤ r) CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX._auto_1 → CThe object on position pq on the rth page of the spectral sequence.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Preorderstatement and proof · cited by 7,952
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.homOfLEproof · cited by 554
- CategoryTheory.Abelian.SpectralObjectstatement and proof · cited by 453
- CategoryTheory.Abelian.SpectralObject.Eproof · cited by 169
- CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCorestatement and proof · cited by 88
- CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore.degproof · cited by 65
- CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore.le₁₂proof · cited by 4
Cited by22
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageproof · cited by 29
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageXIsostatement · cited by 13
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageDstatement · cited by 6
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD_eqstatement and proof · cited by 6
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageD_pageDstatement and proof · cited by 1
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.page_Xstatement · cited by 0
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.page_dstatement · cited by 0
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_X₁statement · cited by 0
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_X₂statement · cited by 0
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccSc_gstatement · cited by 0
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.cc_wstatement and proof · cited by 0