∀ {n : ℕ} (boundaries : Finset (Fin n.succ)) (zero_mem : 0 ∈ boundaries) (getLast_mem : Fin.last n ∈ boundaries)
  (boundaries_1 : Finset (Fin n.succ)) (zero_mem_1 : 0 ∈ boundaries_1) (getLast_mem_1 : Fin.last n ∈ boundaries_1),
  ({ boundaries := boundaries, zero_mem := zero_mem, getLast_mem := getLast_mem } =
      { boundaries := boundaries_1, zero_mem := zero_mem_1, getLast_mem := getLast_mem_1 }) =
    (boundaries = boundaries_1)