Jamieson, Fausset and Brown on Acts 13:34-37

34-37. now no more to return to corruption--that is, to the grave where death reigns; and compare Ro 6:9, "Christ being raised from the dead dieth no more, death hath no more dominion over him."

I will give you the sure mercies of David--(Is 55:3). The word rendered "mercies" is peculiar, denoting the sanctity of them, as comprehending the whole riches of the new covenant; while the other word, "sure," points to the certainty with which they would, through David's Seed, be at length all substantiated. See on Joh 1:14. But how do these words prove the resurrection of Christ? "They presuppose it; for since an eternal kingdom was promised to David, the Ruler of this kingdom could not remain under the power of death. But to strengthen the indefinite prediction by one more definite, the apostle adduces Psa 16:10, of which Peter had given the same explanation (see on Ac 2:27; Ac 2:30, 31), both apostles denying the possibility of its proper reference to David" [Olshausen].