∀ {X : TopCat} {T : ↑X → Type u_1} [inst : (a : ↑X) → SizeOf (T a)] (toPrelocalPredicate : TopCat.PrelocalPredicate T)
  (locality :
    ∀ {U : TopologicalSpace.Opens ↑X} (f : (x : ↥U) → T ↑x),
      (∀ (x : ↥U), ∃ V, ∃ (_ : ↑x ∈ V), ∃ i, toPrelocalPredicate.pred fun x => f (i x)) → toPrelocalPredicate.pred f),
  sizeOf { toPrelocalPredicate := toPrelocalPredicate, locality := locality } = 1 + sizeOf toPrelocalPredicate