8:6 But the ministry Jesus has received is as superior [more excellent] to theirs [priests under the old covenant] as the covenant of which he is mediator [legal term for one who arbitrates between two parties; Jesus is arbitrator between sinful humanity and holy God, cf. 1 Tim. 2:5] is superior to the old one [covenant at Sinai], and it is founded on better promises [Heb. 8:10-12 cf. Jer. 31:31-34].
8:7 For if there had been nothing wrong [faultless] with that first covenant, no place [room for, occasion for] would have been sought for another [new covenant; establishment of new covenant confirmed inadequacy of old one].
Hebrews 8: 13
8:13 By calling this covenant “new [Gr. kainos: something totally new in time],” he has made the first one obsolete [out-of-date; no longer need for temple, sacrifices, priesthood; cf. Heb. 7:18-19]; and what is obsolete and aging [words emphasize old covenant ineffective] will soon disappear [suggestive of utter destruction and abolition].