Theorems · Theorem · category theory
CategoryTheory.SpectralSequence.pageHomologyNatIso_inv_app
∀ (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 r' : ℤ) (pq : κ)
(hrr' : autoParam (r + 1 = r') CategoryTheory.SpectralSequence.pageHomologyNatIso._auto_1)
(hr : autoParam (r₀ ≤ r) CategoryTheory.SpectralSequence.pageHomologyNatIso._auto_3)
(X : CategoryTheory.SpectralSequence C c r₀),
(CategoryTheory.SpectralSequence.pageHomologyNatIso C c r₀ r r' pq hrr' hr).inv.app X = (X.iso r r' pq ⋯ ⋯).inv- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- HomologicalComplex.Xstatement · cited by 1,839
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.homologystatement · cited by 209
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