Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.le_of_isAffine
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsAffine X] {I J : X.IdealSheafData},
I.ideal ⟨⊤, ⋯⟩ ≤ J.ideal ⟨⊤, ⋯⟩ → I ≤ J- Cited by
- 2 results in Mathlib
- Foundations
- Depth 161 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.
Cites30
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 and proof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- Set.Elemproof · cited by 7,166
- Idealstatement and proof · 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
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.ext_of_isAffineproof · cited by 3
- AlgebraicGeometry.Scheme.ker_of_isAffineproof · cited by 1