mahlerTerm_apply — Mathlib

English

The uniform norm of mahlerTerm(a,n) is equal to the norm of a, i.e., sup norm of the map is ‖a‖.

Русский

Нормa единичной масштабируемой функции mahlerTerm(a,n) равна норме вектора a: \\|mahlerTerm(a,n)\\| = \\|a\\|.

LaTeX

$$$$ \\| mahlerTerm(a,n) \\| = \\|a\\|. $$$$

Lean4

theorem mahlerTerm_apply : mahlerTerm a n x = mahler n x • a := by
  simp only [mahlerTerm, ContinuousMap.smul_apply', ContinuousMap.const_apply]

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