Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.map_vanishingIdeal

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (Z : TopologicalSpace.Closeds ↥X),
  (AlgebraicGeometry.Scheme.IdealSheafData.vanishingIdeal Z).map f =
    AlgebraicGeometry.Scheme.IdealSheafData.vanishingIdeal (TopologicalSpace.Closeds.closure (⇑f '' ↑Z))

Defined in: Mathlib.AlgebraicGeometry.IdealSheaf.Functorial
Cited by: 1 results in Mathlib
Foundations: Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound

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Cited by1

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