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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.radical_sup

∀ {X : AlgebraicGeometry.Scheme} {I J : X.IdealSheafData}, (I ⊔ J).radical = (I.radical ⊔ J.radical).radical
Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
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Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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Set.Elem · cited by 7166Set.ElemAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.affineOpens · cited by 220Scheme.affineOpensAlgebraicGeometry.Scheme.IdealSheafData · cited by 192Scheme.IdealSheafDataAlgebraicGeometry.Scheme.IdealSheafData.ideal · cited by 88IdealSheafData.idealAlgebraicGeometry.Scheme.IdealSheafData.ext · cited by 16IdealSheafData.extAlgebraicGeometry.Scheme.IdealSheafData.radical · cited by 10IdealSheafData.radicalIdeal.radical_sup · cited by 1Ideal.radical_supIdealSheafData.radical_supCITED BYCITES

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