Theorems · Theorem · algebraic geometry
AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_isIso
∀ {A : Type u_1} {σ : Type u_2} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] (𝒜 : ℕ → σ)
[inst_3 : GradedRing 𝒜] {f : A} {m : ℕ},
f ∈ 𝒜 m → 0 < m → CategoryTheory.IsIso (AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec 𝒜 f).base- Cited by
- 1 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categoryproof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Iso.homproof · cited by 7,684
- TopCat.carrierstatement · cited by 3,184
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- TopCatstatement and proof · cited by 1,889
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.ProjectiveSpectrum.Proj.isIso_toSpecproof · cited by 0