nthRemainder — Mathlib

English

Define the nth remainder function as the choice given by nth_mul_coeff; this remainder captures the part of the nth coefficient independent of the (n+1)st inputs.

Русский

Определяемое через выбор nth_mul_coeff, remainder n описывает часть n-го коэффициента, не зависящую от входных (n+1)-й коэффициентов.

LaTeX

$$"nthRemainder"(n) = the chosen remainder function corresponding to the nth coefficient$$

Lean4

/-- Produces the "remainder function" of the `n+1`st coefficient, which does not depend on the `n+1`st
coefficients of the inputs. -/
def nthRemainder (n : ℕ) : (Fin (n + 1) → k) → (Fin (n + 1) → k) → k :=
  Classical.choose (nth_mul_coeff p k n)

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