laurentAux_algebraMap — Mathlib

English

For every polynomial p ∈ R[X], laurentAux r(algebraMap p) = algebraMap (taylor r p).

Русский

Для каждого полинома p ∈ R[X], laurentAux r(algebraMap p) = алгебраMap(тaylor r p).

LaTeX

$$$\\mathrm{laurentAux}(r)(\\text{algebraMap}~p) = \\text{algebraMap}(\\operatorname{taylor}(r) p).$$$

Lean4

@[simp]
theorem laurentAux_algebraMap : laurentAux r (algebraMap _ _ p) = algebraMap _ _ (taylor r p) := by
  rw [← mk_one, ← mk_one, mk_eq_div, laurentAux_div, mk_eq_div, taylor_one, map_one, map_one]

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