Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Proj.one_apply
∀ {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] {V : (TopologicalSpace.Opens ↑(ProjectiveSpectrum.top 𝒜))ᵒᵖ} (x : ↥(Opposite.unop V)),
↑1 x = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- TopCat.carrierstatement and proof · cited by 3,184
- CommRingCatstatement · cited by 2,333
- Opposite.unopstatement and proof · cited by 2,231
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CommRingCat.carrierstatement · cited by 1,096
- SetLikestatement and proof · cited by 1,084
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
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