∀ {ι : Type uι} {E : Type uE} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {H : Type uH}
  [inst_2 : TopologicalSpace H] {I : ModelWithCorners ℝ E H} {M : Type uM} [inst_3 : TopologicalSpace M]
  [inst_4 : ChartedSpace H M] {s : optParam (Set M) Set.univ} (self : SmoothPartitionOfUnity ι I M s),
  ∀ x ∈ s, ∑ᶠ (i : ι), (self.toFun i) x = 1