linearGrowthSupBotHom — Mathlib

English

Upper linear growth as a SupBotHom from sequences to EReal, with toFun = linearGrowthSup.

Русский

Верхний линейный рост как SupBotHom，从 последовательностей в EReal, где toFun = linearGrowthSup.

LaTeX

$$$\text{linearGrowthSupBotHom} : \text{SupBotHom}(\mathbb{N} \to \mathbb{EReal}, \mathbb{EReal})$$$

Lean4

/-- Upper linear growth as a `SupBotHom`. -/
noncomputable def linearGrowthSupBotHom : SupBotHom (ℕ → EReal) EReal
    where
  toFun := linearGrowthSup
  map_sup' _ _ := linearGrowthSup_sup
  map_bot' := linearGrowthSup_bot

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