removeZero — Mathlib

English

RemoveZero deletes the zeroth coefficient, shifting degrees: (removeZero p)(n) equals p(n) for n > 0 and is 0 for n = 0.

Русский

Удаление нулевого коэффициента удаляет нулевой компонент и смещает индексы: (removeZero p)_0 = 0, (removeZero p)_{n+1} = p_{n+1}.

LaTeX

$$removeZero (p) : FormalMultilinearSeries 𝕜 E F with (removeZero p) 0 = 0 and (removeZero p) (n+1) = p (n+1)$$

Lean4

/-- Killing the zeroth coefficient in a formal multilinear series -/
def removeZero (p : FormalMultilinearSeries 𝕜 E F) : FormalMultilinearSeries 𝕜 E F
  | 0 => 0
  | n + 1 => p (n + 1)

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