6 "I have manifested Your name to the men whom You have given Me out of the world. They were Yours, You gave them to Me, and they have kept Your word.
7 Now they have known that all things which You have given Me are from You.
8 For I have given to them the words which You have given Me; and they have received them, and have known surely that I came forth from You; and they have believed that You sent Me.
9 "I pray for them. I do not pray for the world but for those whom You have given Me, for they are Yours.
10 And all Mine are Yours, and Yours are Mine, and I am glorified in them.
Jesus was praying for the eleven disciples, but verse 20 shows He was also praying for all who believe.
manifested Your name (v. 6) — called it to shine forth (John 1:18)
Your name (v. 6) — specifically "Father." The character of God as Father could only be known through the Son.
they have kept Your word (v. 6) — faith, without regard for their sins and imperfections.
I do not pray for the world (v. 9) — Not in His prayer of High Priestly intercession (Hebrews 7:25).
Verse 10 shows the total unity of the Father and Son, in name, in attribute, in holiness, in people, in purpose, etc.
glorified in them (v. 10) His workmanship
It is beautiful to see that as the Savior here comes before the Father as intercessor, He presents "His own" along with Himself. It reminds us of His word, spoken long before by the spirit of prophecy, "Behold I and the children whom the Lord hath given me" (Isaiah 8:18, quoted in Hebrews 2:13). It was the fulfillment of what had been so strikingly foreshadowed by the high priest of Israel: "And Aaron shall bear the names of the children of Israel in the breastplate of judgment upon his heart when he goeth in unto the holy place, for a memorial before the Lord continually" (Exodus 28:29). so here, when our great High Priest entered the presence of the Father, He bore our names on His heart before Him! That which made this possible was His own glorification, consequent upon His "finished work" (17: 4-5). — Exposition of the Gospel of John, by Arthur W. Pink, page 110.