FormallyUnramified — Mathlib

English

StableUnderComposition FormallyUnramified: the property of being formally unramified is preserved under composition.

Русский

Свойство формально не RAMified сохраняется под композицию.

LaTeX

$$$$ \operatorname{StableUnderComposition}(\text{FormallyUnramified}). $$$$

Lean4

/-- A ring homomorphism `R →+* A` is formally unramified if `Ω[A⁄R]` is trivial.
See `Algebra.FormallyUnramified`.
-/
@[algebraize Algebra.FormallyUnramified]
def FormallyUnramified (f : R →+* S) : Prop :=
  letI := f.toAlgebra
  Algebra.FormallyUnramified R S

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