one — Mathlib

English

For every n and a ∈ R, monomial n a is IsRestricted with parameter c.

Русский

Для любого n и элемента a ∈ R мономиал n a ограничен по параметру c.

LaTeX

$$$\mathrm{IsRestricted}(c, \mathrm{monomial}_n(a))$$$

Lean4

theorem one : IsRestricted c (1 : PowerSeries R) :=
  by
  simp only [isRestricted_iff, coeff_one, norm_mul, norm_pow, Real.norm_eq_abs]
  refine fun _ _ ↦ ⟨1, fun n hn ↦ ?_⟩
  split
  · omega
  · simpa

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