∀ {R : Type u_4} {K : Type u_5} [inst : NormedRing K] [IsDomain K] [inst_2 : NormedAddCommGroup R] [inst_3 : Module K R]
  [Module.IsTorsionFree K R] [NormSMulClass K R] [NormSMulClass ℤ K] [inst_7 : LinearOrder K] [IsStrictOrderedRing K]
  [inst_9 : FloorSemiring K] [HasSolidNorm K] {g : ℕ → R} {t : R},
  Filter.Tendsto (fun n => n • g n) Filter.atTop (nhds t) → Filter.Tendsto (fun x => x • g ⌊x⌋₊) Filter.atTop (nhds t)