∀ {u : ℕ → EReal} {v : ℕ → ℕ},
  Monotone u →
    (LinearGrowth.linearGrowthSup fun n => ↑(v n)) ≠ 0 →
      (LinearGrowth.linearGrowthSup fun n => ↑(v n)) ≠ ⊤ →
        LinearGrowth.linearGrowthInf (u ∘ v) ≤
          (LinearGrowth.linearGrowthSup fun n => ↑(v n)) * LinearGrowth.linearGrowthInf u