Theorems · Theorem · algebraic geometry
RingHom.FormallyEtale.of_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.comp f).FormallyEtale → g.FormallyEtale- Defined in
- Mathlib.RingTheory.RingHom.Unramified
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.FormallyEtale.of_restrictScalarsproof · cited by 4
- RingHom.FormallyEtalestatement and proof · cited by 3
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