{α : Type u_8} →
  {β : Type u_9} →
    {inst : InfSet α} →
      {inst_1 : InfSet β} →
        {P : Sort u} →
          {toFun : α → β} →
            {map_sInf' : ∀ (s : Set α), toFun (sInf s) = sInf (toFun '' s)} →
              {toFun' : α → β} →
                {map_sInf'' : ∀ (s : Set α), toFun' (sInf s) = sInf (toFun' '' s)} →
                  { toFun := toFun, map_sInf' := map_sInf' } = { toFun := toFun', map_sInf' := map_sInf'' } →
                    (toFun ≍ toFun' → P) → P