The foregoing provisions shall apply to all carcasses or parts of carcasses of cattle, sheep, swine, goats, horses, mules, and other equines or the meat or meat products thereof, capable of use as human food, which may be brought into any slaughtering, meat-canning, salting, packing, rendering, or similar establishment, where inspection under this article is maintained, and such examination and inspection shall be had before the said carcasses or parts thereof shall be allowed to enter into any department wherein the same are to be treated and prepared for meat food products. The foregoing provisions shall also apply to all such products which, after having been issued from any such slaughtering, meat-canning, salting, packing, rendering, or similar establishment, shall be returned to the same or to any similar establishment where such inspection is maintained. The commissioner may limit the entry of carcasses, part of carcasses, meat and meat food products, and other materials into any establishment at which inspection under this article is maintained, under such conditions as he may prescribe to assure that allowing the entry of such items or products into such inspected establishments will be consistent with the purposes of this chapter.