Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Proj.basicOpenIsoSpec.congr_simp
∀ {σ : Type u_1} {A : Type u} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] (𝒜 : ℕ → σ)
[inst_3 : GradedRing 𝒜] (f : A) {m m_1 : ℕ} (e_m : m = m_1) (f_deg : f ∈ 𝒜 m) (hm : 0 < m),
AlgebraicGeometry.Proj.basicOpenIsoSpec 𝒜 f f_deg hm = AlgebraicGeometry.Proj.basicOpenIsoSpec 𝒜 f ⋯ ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Isostatement · cited by 3,963
- AlgebraicGeometry.Schemestatement · cited by 2,540
- SetLikestatement and proof · cited by 1,084
- AlgebraicGeometry.Specstatement · cited by 626
- AlgebraicGeometry.Scheme.Opens.toSchemestatement · cited by 433
- GradedRingstatement and proof · cited by 424
- Submonoid.powersstatement · cited by 408
- AddSubgroupClassstatement and proof · cited by 240
- HomogeneousLocalization.Awaystatement · cited by 105
- AlgebraicGeometry.Projstatement · cited by 63
- AlgebraicGeometry.Proj.basicOpenstatement · cited by 38
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