∀ {α : Type u_4} [inst : TopologicalSpace α] [inst_1 : SizeOf α] (carrier : Set α)
  (isIrreducible' : IsIrreducible carrier) (isClosed' : IsClosed carrier),
  sizeOf { carrier := carrier, isIrreducible' := isIrreducible', isClosed' := isClosed' } =
    1 + sizeOf isIrreducible' + sizeOf isClosed'