Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.equivOfIsAffine_symm_apply
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsAffine X] (I : Ideal ↑(X.presheaf.obj (Opposite.op ⊤))),
AlgebraicGeometry.Scheme.IdealSheafData.equivOfIsAffine.symm I = AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop I- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsAffine
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- 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
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
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