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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.IsSmoothOfRelativeDimension.isSmooth

Deprecated since 2026-02-09Use AlgebraicGeometry.SmoothOfRelativeDimension.smooth instead.

∀ (n : ℕ) {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.SmoothOfRelativeDimension n f],
  AlgebraicGeometry.Smooth f

Alias of AlgebraicGeometry.SmoothOfRelativeDimension.smooth. If f is smooth of any relative dimension, it is smooth.

Defined in
Mathlib.AlgebraicGeometry.Morphisms.Smooth
Cited by
0 results in Mathlib
Foundations
Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.SmoothOfRelativeDimension

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