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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop_ideal

∀ {X : AlgebraicGeometry.Scheme} (I : Ideal ↑(X.presheaf.obj (Opposite.op ⊤))) (U : ↑X.affineOpens),
  (AlgebraicGeometry.Scheme.IdealSheafData.ofIdealTop I).ideal U =
    Ideal.map (CommRingCat.Hom.hom (X.presheaf.map (CategoryTheory.homOfLE ⋯).op)) I
Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
Cited by
1 results in Mathlib
Foundations
Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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AlgebraicGeometry.Scheme.ker_of_isAffine · cited by 1Scheme.ker_of_isAffineSet · cited by 53352SetCategoryTheory.Functor.obj · cited by 19642Functor.objRingHom · cited by 10189RingHomTop.top · cited by 9680Top.topCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeSet.Elem · cited by 7166Set.ElemIdeal · cited by 4748IdealTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · cited by 2333CommRingCatTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…Quiver.Hom.op · cited by 1948Hom.opIdealSheafData.ofIdealTop_ide…CITED BYCITES

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