Theorems · Theorem · algebraic geometry
RingHom.FormallyUnramified.comp
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] {T : Type u_3} [inst_2 : CommRing T]
{f : R →+* S} {g : S →+* T}, f.FormallyUnramified → g.FormallyUnramified → (g.comp f).FormallyUnramified- Defined in
- Mathlib.RingTheory.RingHom.Unramified
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 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.FormallyUnramifiedstatement and proof · cited by 26
- Algebra.FormallyUnramified.compproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.FormallyUnramified.stableUnderCompositionproof · cited by 4