Theorems · Theorem · algebraic geometry
ProjectiveSpectrum.ext
∀ {A : Type u_1} {σ : Type u_2} {inst : CommRing A} {inst_1 : SetLike σ A} {inst_2 : AddSubmonoidClass σ A} {𝒜 : ℕ → σ}
{inst_3 : GradedRing 𝒜} {x y : ProjectiveSpectrum 𝒜}, x.asHomogeneousIdeal = y.asHomogeneousIdeal → x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 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.
- CommRingstatement and proof · cited by 17,173
- SetLikestatement and proof · cited by 1,084
- Ideal.IsPrimeproof · cited by 827
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- HomogeneousIdealstatement and proof · cited by 115
- HomogeneousIdeal.toIdealproof · cited by 105
- ProjectiveSpectrumstatement and proof · cited by 86
- ProjectiveSpectrum.asHomogeneousIdealstatement and proof · cited by 61
- HomogeneousIdeal.irrelevantproof · cited by 46
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.ProjIsoSpecTopComponent.fromSpec_toSpecproof · cited by 1
- ProjectiveSpectrum.ext_iffproof · cited by 0