coeff_mapCoeffs — Mathlib

English

The Lie bracket is compatible with the integral and scalar structures, giving a consistent Lie algebra action on the Derivation module.

Русский

Скобка Ли совместима с целочисленной и скалярной структурами, задавая согласованное действие Ли на модуль Derivation.

LaTeX

$$$\text{Lie bracket satisfies bilinearity and Leibniz rules with respect to scalar actions.}$$$

Lean4

@[simp]
theorem coeff_mapCoeffs (p : A[X]) (i) : coeff (mapCoeffs p) i = (coeff p i)′ :=
  rfl

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