∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] (carrier : Set X)
  (I : (n : ℕ) → Set (Topology.RelCWComplex.cell C n)) (closed' : IsClosed carrier)
  (union' : D ∪ ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n ↑j = carrier) (carrier_1 : Set X)
  (I_1 : (n : ℕ) → Set (Topology.RelCWComplex.cell C n)) (closed'_1 : IsClosed carrier_1)
  (union'_1 : D ∪ ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n ↑j = carrier_1),
  ({ carrier := carrier, I := I, closed' := closed', union' := union' } =
      { carrier := carrier_1, I := I_1, closed' := closed'_1, union' := union'_1 }) =
    (carrier = carrier_1 ∧ I = I_1)