Theorems · Theorem · algebraic geometry
RingHom.IsStandardSmoothOfRelativeDimension.comp
∀ {n m : ℕ} {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] {T : Type u_1} [inst_2 : CommRing T]
{g : S →+* T} {f : R →+* S},
RingHom.IsStandardSmoothOfRelativeDimension n g →
RingHom.IsStandardSmoothOfRelativeDimension m f → RingHom.IsStandardSmoothOfRelativeDimension (n + m) (g.comp f)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerproof · cited by 3,896
- RingHom.compstatement and proof · cited by 899
- RingHom.toAlgebraproof · cited by 337
- IsScalarTower.of_algebraMap_eq'proof · cited by 101
- RingHom.IsStandardSmoothOfRelativeDimensionstatement and proof · cited by 18
- Algebra.IsStandardSmoothOfRelativeDimension.transproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.isStandardSmoothOfRelativeDimension_respectsIsoproof · cited by 2