rescaleMonoidHom — Mathlib

English

For truncFun n, the coefficient at m is coeff m φ if m < n, otherwise 0.

Русский

Для функции усечения truncFun n коэффициент при m равен coeff m φ, если m < n, иначе 0.

LaTeX

$$$(\operatorname{truncFun} n \; \varphi).\mathrm{coeff} \, m = \begin{cases} \mathrm{coeff} \, m \; \varphi, & m < n \\ 0, & \text{otherwise} \end{cases}$$$

Lean4

/-- Rescale a multivariate power series, as a `MonoidHom` in the scaling parameters. -/
noncomputable def rescaleMonoidHom : (σ → R) →* MvPowerSeries σ R →+* MvPowerSeries σ R
    where
  toFun := rescale
  map_one' := rescale_one
  map_mul' a b := by ext; simp [mul_comm, rescale_rescale]

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