Acts 13:36 contrasts David, who died and decayed, with the Holy One (Jesus) who did not see decay.

Acts 13:37 directly restates the application of the Psalm: the risen Jesus saw no decay.

Acts 2:27-31 also quotes Psalm 16:10, applying it to Jesus' resurrection as proof of His victory over death.

Acts 2:31 also cites Psalm 16:10 to prove Christ's resurrection, identical to the quote in Acts 13:35.

Psalm 16:10 is the direct source of this quote about God not letting His Holy One see decay.