Theorems · Theorem · algebraic geometry
AlgebraicGeometry.smoothOfRelativeDimension_isStableUnderBaseChange
∀ (n : ℕ), CategoryTheory.MorphismProperty.IsStableUnderBaseChange (@AlgebraicGeometry.SmoothOfRelativeDimension n)
Smooth of relative dimension n is stable under base change.
- Cited by
- 1 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.MorphismProperty.IsStableUnderBaseChangestatement · cited by 131
- AlgebraicGeometry.SmoothOfRelativeDimensionstatement · cited by 8
- RingHom.isStandardSmoothOfRelativeDimension_isStableUnderBaseChangeproof · cited by 2
- RingHom.isStandardSmoothOfRelativeDimension_respectsIsoproof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.isStableUnderBaseChangeproof · cited by 1
- RingHom.locally_isStableUnderBaseChangeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isSmoothOfRelativeDimension_isStableUnderBaseChangeproof · cited by 0