Theorems · Theorem · algebraic geometry
AlgebraicGeometry.GeometricallyIntegral.isIntegral_of_subsingleton
∀ {X S : AlgebraicGeometry.Scheme} (f : X ⟶ S) [AlgebraicGeometry.GeometricallyIntegral f] [Subsingleton ↥S]
[AlgebraicGeometry.IsIntegral S], AlgebraicGeometry.IsIntegral XIf X is geometrically integral over a field, then it is integral.
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- Foundations
- Depth 239 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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