nndist_lineMap_right — Mathlib

English

The trailing coefficient of a scalar multiple respects the scalar multiple of trailing coefficients.

Русский

Хвостовой коэффициент скалярного множителя пропорционален хвостовым коэффициентам.

LaTeX

$$$$ \mathrm{meromorphicTrailingCoeffAt}(\alpha f, x) = \alpha \cdot \mathrm{meromorphicTrailingCoeffAt}(f, x). $$$$

Lean4

@[simp]
theorem nndist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : nndist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
  NNReal.eq <| dist_lineMap_right _ _ _

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