∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : ProperSpace E] {D : Function.locallyFinsuppWithin Set.univ ℤ},
  0 ≤ D → (D = 0 ↔ Function.locallyFinsuppWithin.logCounting D =O[Filter.atTop] 1)