If the injunction be to stay a sale under execution of certain designated property, real or personal, or any proceeding at law as to certain specified things, and not to restrain proceedings at law generally, bond may be given as provided in Section 11-13-5; but if the injunction shall be obtained on the ground of some objection to the judgment or execution, or the demand of the party enjoined to sustain his claim, and shall not be confined to a contest of his right to subject to his demand particular property by his proceeding, bond shall be given as prescribed in Section 11-13-3.