Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop
{X : AlgebraicGeometry.Scheme} → Ideal ↑(X.presheaf.obj (Opposite.op ⊤)) → X.IdealSheafDataThe ideal sheaf induced by an ideal of the global sections.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.Functor.mapproof · cited by 8,698
- SetLike.coeproof · cited by 8,199
- Oppositestatement · cited by 8,081
- Set.Elemproof · cited by 7,166
- Idealstatement and proof · cited by 4,748
- TopCat.carrierstatement and proof · 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 and proof · cited by 2,020
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.equivOfIsAffineproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop_idealstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.ker_of_isAffinestatement · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.coe_support_ofIdealTopstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.equivOfIsAffine_symm_applystatement · cited by 0