coeff_subst_finite' — Mathlib

English

A variant of coeff_subst_finite with b as substituting power series.

Русский

Вариант desempenho coeff_subst_finite с b как подстановочным рядом.

LaTeX

$$$\forall hb\, (f : PowerSeries R)\, (e : \mathbb{N}),\ Finite\left(\{ d \mid coeff_d f · coeff_e (b^d) \}\right)$$$

Lean4

theorem coeff_subst_finite' (hb : HasSubst b) (f : PowerSeries R) (e : ℕ) :
    Set.Finite (fun (d : ℕ) ↦ coeff d f • (PowerSeries.coeff e (b ^ d))).support :=
  coeff_subst_finite hb f _

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