Sort u →
  {X : Type u_1} →
    {Y : Type u_2} →
      [inst : PseudoEMetricSpace X] →
        [inst_1 : PseudoEMetricSpace Y] →
          X ≃ᵈ Y →
            {X' : Type u_1} →
              {Y' : Type u_2} → [inst' : PseudoEMetricSpace X'] → [inst'_1 : PseudoEMetricSpace Y'] → X' ≃ᵈ Y' → Sort u