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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Etale.of_formallyUnramified_of_flat

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Flat f] [AlgebraicGeometry.FormallyUnramified f]
  [AlgebraicGeometry.LocallyOfFinitePresentation f], AlgebraicGeometry.Etale f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.Etale
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Foundations
Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.FlatAlgebraicGeometry.FormallyUnramifiedAlgebraicGeometry.LocallyOfFinitePresentation
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Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Flat · cited by 49AlgebraicGeometry.FlatAlgebraicGeometry.Etale · cited by 27AlgebraicGeometry.EtaleAlgebraicGeometry.LocallyOfFinitePresentation · cited by 26AlgebraicGeometry.Locally…AlgebraicGeometry.FormallyUnramified · cited by 11AlgebraicGeometry.Formall…AlgebraicGeometry.Etale.iff_flat_and_formallyUnramified · cited by 1Etale.iff_flat_and_formal…Etale.of_formallyUnramified_o…CITED BYCITES

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