Was the Resurrection part and parcel of Jesus' Salvific Mission?

In John 19:30, we see Jesus giving up his Spirit on the Cross after saying: " It is finished " . In Contemporary English Version, the words appear as " Everything is done" . So, by giving up his life on the Cross, Jesus completed the Mission of Salvation entrusted to him. But, Jesus rises again on the third day and we have St Paul saying that but for the Lord' s Resurrection, we would still remain sinful (1 Cor 15:17). One is therefore, intrigued if the salvific work of Jesus would have remained incomplete, had he not risen again. But then, why did Jesus say " Everything is done " just before he died on the cross ? My question therefore, is: Was the Resurrection of Jesus part and parcel of the Salvific Mission ? Inputs from scholars of any denomination are welcome.