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 fAlias of AlgebraicGeometry.SmoothOfRelativeDimension.smooth.
If f is smooth of any relative dimension, it is smooth.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement · cited by 2,540
- AlgebraicGeometry.Smoothstatement · cited by 12
- AlgebraicGeometry.SmoothOfRelativeDimensionstatement · cited by 8
- AlgebraicGeometry.SmoothOfRelativeDimension.smoothproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.