∀ {α : Type u_4} {inst : TopologicalSpace α} {toCompacts : TopologicalSpace.Compacts α}
  {interior_nonempty' : (interior toCompacts.carrier).Nonempty} {toCompacts_1 : TopologicalSpace.Compacts α}
  {interior_nonempty'_1 : (interior toCompacts_1.carrier).Nonempty},
  { toCompacts := toCompacts, interior_nonempty' := interior_nonempty' } =
      { toCompacts := toCompacts_1, interior_nonempty' := interior_nonempty'_1 } →
    toCompacts = toCompacts_1