∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {c : E} [inst_1 : Fact (1 ≤ p)] {X : Type u_3} [inst_2 : TopologicalSpace X]
  {s : X → Set α} {hs : ∀ (x : X), MeasurableSet (s x)} {hμs : ∀ (x : X), μ (s x) ≠ ⊤},
  p ≠ ⊤ →
    (∀ (x : X), Filter.Tendsto (fun y => μ (symmDiff (s y) (s x))) (nhds x) (nhds 0)) →
      Continuous fun x => MeasureTheory.indicatorConstLp p ⋯ ⋯ c