Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.isLocallyConstant_finrank
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Flat f] [AlgebraicGeometry.IsFinite f]
[AlgebraicGeometry.LocallyOfFinitePresentation f], IsLocallyConstant (AlgebraicGeometry.Scheme.Hom.finrank f)The rank of a finite flat locally finitely presented morphism is locally constant.
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- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
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