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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.dense_smoothLocus_of_perfectField

∀ {X : AlgebraicGeometry.Scheme} {K : Type u} [inst : Field K] [PerfectField K] [AlgebraicGeometry.IsReduced X]
  (f : X ⟶ AlgebraicGeometry.Spec (CommRingCat.of K)) [inst_3 : AlgebraicGeometry.LocallyOfFinitePresentation f],
  Dense ↑(AlgebraicGeometry.Scheme.Hom.smoothLocus f)
Defined in
Mathlib.AlgebraicGeometry.Morphisms.Smooth
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Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldPerfectFieldAlgebraicGeometry.IsReducedAlgebraicGeometry.LocallyOfFinitePresentation

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