isNormal_veblenWith' — Mathlib

English

For any f with IsNormal, veblenWith f o is normal for every ordinal o.

Русский

Для любого f с IsNormal, veblenWith f o нормальна для каждого ординала o.

LaTeX

$$theorem isNormal_veblenWith (o : Ordinal) : IsNormal (veblenWith f o) :=$$

Lean4

/-- `veblenWith f o` is always normal for `o ≠ 0`. See `isNormal_veblenWith` for a version which
assumes `IsNormal f`. -/
theorem isNormal_veblenWith' (f : Ordinal → Ordinal) (h : o ≠ 0) : IsNormal (veblenWith f o) :=
  by
  rw [veblenWith_of_ne_zero f h]
  exact isNormal_derivFamily _

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