Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.ext_of_isAffine
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsAffine X] {I J : X.IdealSheafData},
I.ideal ⟨⊤, ⋯⟩ = J.ideal ⟨⊤, ⋯⟩ → I = J- Cited by
- 3 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsAffine
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- Idealstatement · cited by 4,748
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsClosedImmersion.isIso_of_injective_of_isAffineproof · cited by 0
- AlgebraicGeometry.Scheme.ker_toSpecΓproof · cited by 0
- AlgebraicGeometry.isDominant_of_of_appTop_injectiveproof · cited by 0