In Romans 8:34, what does it mean that Jesus "intercedes"?
Rom 8:34 Who is the one to condemn? It is the Messiah Jesus who is interceding on our behalf. He died, and more importantly, has been raised and is seated at the right hand of God.
The word seems to refer to the act of praying to God for another person:
ἐντυγχάνω fut. 2 pl. ἐντεύξεσθε (Just., A I, 45, 6); 2 aor. ἐνέτυχον; 1 aor. subj. mid. ἐντεύξωμαι Hm 10, 2, 5 (cp. the simplex 2 Macc 15:7) in various senses: ‘meet, turn to, approach, appeal, petition’ (s. τυγχάνω; Soph., Hdt.+). ① to make an earnest request through contact with the pers. approached ⓐ approach or appeal to someone, τινί (Polyb. 4, 30, 1; Diod S 19, 60, 1; OGI 664, 10; 669, 46; SIG 820, 13 [I A.D.]; PTebt 58, 43; Da 6:13 LXX; Jos., Ant. 16, 170; Just., D. 2, 6 τοῖς Πλατωνικοῖς) MPol 17:2. τινὶ περί τινος (Polyb. 4, 76, 9; PSI 410, 14 [III B.C.] περὶ Ὥρου ἐντυχεῖν Ἀμμωνίῳ; PAmh 142, 10) περὶ οὗ ἅπαν τὸ πλῆθος ἐνέτυχόν μοι concerning whom all the people appealed to me Ac 25:24 (En 22:7 Ἄβελ ἐντυγχάνει περὶ αὐτοῦ [τοῦ Κάϊν]. Of things: Jos., Ant. 12, 18 περὶ ὧν ἐντυγχάνειν μέλλει τῷ βασιλεῖ; Plut, Alex. 692 [49, 4] ὡς περὶ ἀναγκαίων ἔχοντας ἐντυχεῖν καὶ μεγάλων, Them. 125 [27, 2] [s. Field, Notes 140f]). ὑπέρ τινος plead for someone (Aelian, VH 1, 21; PAmh 35, 20; PTebt 183 [II B.C.]) of intercession by the Holy Spirit κατὰ θεὸν ἐ. ὑπὲρ ἁγίων Ro 8:27. Of Christ’s intercession Ro 8:34; Hb 7:25. τινὶ κατά τινος appeal to someone against a third person (cp. PGiss 36, 15 [161 B.C.] ἐνετύχομεν καθʼ ὑμῶν; PAmh 134, 10; 1 Macc 8:32; 11:25; En 7:6 ἡ γῆ ἐνέτυχεν κατὰ τῶν ἀνόμων; TestJob 17:5 καθʼ ἡμῶν) Ro 11:2; Hm 10, 2, 5.—DCrump, Jesus the Intercessor ’92. ⓑ Since petitions are also directed toward God, ἐ. can be rendered pray (Maximus Tyr. 10, 1b ἐντυχεῖν θεοῖς; BGU 246, 12 [c. 200 A.D.] ἰδότες ὅτι νυκτὸς καὶ ἡμέρας ἐντυγχάνω τῷ θεῷ ὑπὲρ ὑμῶν; Wsd 8:21; 16:28; En 9:3 and 10 al.; Philo, Mos. 1, 173) w. dat. of the one being prayed to τῷ κυρίῳ (w. ἐξομολογεῖσθαι) Hm 10, 3, 2; τῷ θεῷ to God Hs 2:6. Also πρὸς τὸν κύριον (cp. Plut., Fab. 185 [20, 2]) Hs 2:8. περί τινος for someone 1 Cl 56:1; Pol 4:3. ② From the idea of ‘coming across’ or ‘encountering’ a book (Plato et al.) derives the sense read (Polyb. 1, 3, 10; Plut., Rom. 24 [12, 6]; Vett. Val. 358, 25; 2 Macc 2:25; 15:39; Jos., Ant. 1, 15; 12, 226; Just., A I, 26, 8 al.; Philo, Spec. Leg. 4, 161 [a book] ἐντυγχάνειν κ. ἀναγινώσκειν ‘read and attend to’) Dg 12:1.—RLaqueur, Quaestiones Epigr., diss. Strassb. 1904, 15ff.—DELG s.v. τυγχάνω. M-M. TW. Spicq. Sv.
Arndt, W., Danker, F. W., & Bauer, W. (2000). A Greek-English lexicon of the New Testament and other early Christian literature (3rd ed., p. 341). Chicago: University of Chicago Press.
If that is the idea is it inconsistent with the 4th gospel?:
Joh 16:26 At that time, you will make your requests in my name, so that I will have no need to ask the Father on your behalf,
I notice that Hebrews links intercession with "completely saving" those who approach God through him:
Heb 7:25 Therefore, because he always lives to intercede for them, he is able to save completely those who come to God through him.
In that passage it seems to refer to Jesus administering the New Covenant with the Jews:
Heb 7:22 In this way, Jesus has become the guarantor of a better covenant. Heb 7:23 There have been many priests, since each one of them had to stop serving in office when he died. Heb 7:24 But because Jesus lives forever, he has a permanent priesthood. Heb 7:25 Therefore, because he always lives to intercede for them, he is able to save completely those who come to God through him.
So what activity is in view in Romans 8:34?