Every time Israel was set aside, a remnant remained.
Has nothing to do with the establishment of the BOC.
Yep.
Romans 3:3 For what if some did not believe? shall their unbelief make the faith of God without effect?
Romans 11:7 What then? Israel hath not obtained that which he seeketh for; but the election hath obtained it, and the rest were blinded.
Afterwhich, the following began, starting with the first Jew / Israelite concluded blind: Paul.
For as the Lord had said...
John 9:39 And Jesus said, For judgment I am come into this world, that they which see not might see; and that they which see might be made blind.
John 9:41 Jesus said unto them, If ye were blind, ye should have no sin: but now ye say, We see; therefore your sin remaineth.
This time, He would be opening eyes, however...
1 Timothy 1:11 According to the glorious gospel of the blessed God, which was committed to my trust. 1:12 And I thank Christ Jesus our Lord, who hath enabled me, for that he counted me faithful, putting me into the ministry; 1:13 Who was before a blasphemer, and a persecutor, and injurious: but I obtained mercy, because I did it ignorantly in unbelief. 1:14 And the grace of our Lord was exceeding abundant with faith and love which is in Christ Jesus. 1:15 This is a faithful saying, and worthy of all acceptation, that Christ Jesus came into the world to save sinners; of whom I am chief. 1:16 Howbeit for this cause I obtained mercy, that in me first Jesus Christ might shew forth all longsuffering, for a pattern to them which should hereafter believe on him to life everlasting.
Which is when this mystery began to unfold...
Romans 11:28 As concerning the gospel, they are enemies for your sakes: but as touching the election, they are beloved for the fathers' sakes. 11:29 For the gifts and calling of God are without repentance. 11:30 For as ye in times past have not believed God, yet have now obtained mercy through their unbelief: 11:31 Even so have these also now not believed, that through your mercy they also may obtain mercy. 11:32 For God hath concluded them all in unbelief, that he might have mercy upon all. 11:33 O the depth of the riches both of the wisdom and knowledge of God! how unsearchable are his judgments, and his ways past finding out!
Which began in Acts 9.
Acts 9:13 Then Ananias answered, Lord, I have heard by many of this man, how much evil he hath done to thy saints at Jerusalem: 9:14 And here he hath authority from the chief priests to bind all that call on thy name. 9:15 But the Lord said unto him, Go thy way: for he is a chosen vessel unto me, to bear my name before the Gentiles, and kings, and the children of Israel: 9:16 For I will shew him how great things he must suffer for my name's sake.
Acts 26:8 Why should it be thought a thing incredible with you, that God should raise the dead? 26:9 I verily thought with myself, that I ought to do many things contrary to the name of Jesus of Nazareth. 26:10 Which thing I also did in Jerusalem: and many of the saints did I shut up in prison, having received authority from the chief priests; and when they were put to death, I gave my voice against them. 26:11 And I punished them oft in every synagogue, and compelled them to blaspheme; and being exceedingly mad against them, I persecuted them even unto strange cities. 26:12 Whereupon as I went to Damascus with authority and commission from the chief priests, 26:13 At midday, O king, I saw in the way a light from heaven, above the brightness of the sun, shining round about me and them which journeyed with me. 26:14 And when we were all fallen to the earth, I heard a voice speaking unto me, and saying in the Hebrew tongue, Saul, Saul, why persecutest thou me? it is hard for thee to kick against the pricks. 26:15 And I said, Who art thou, Lord? And he said, I am Jesus whom thou persecutest. 26:16 But rise, and stand upon thy feet: for I have appeared unto thee for this purpose, to make thee a minister and a witness both of these things which thou hast seen, and of those things in the which I will appear unto thee; 26:17 Delivering thee from the people, and from the Gentiles, unto whom now I send thee, 26:18 To open their eyes, and to turn them from darkness to light, and from the power of Satan unto God, that they may receive forgiveness of sins, and inheritance among them which are sanctified by faith that is in me.
Verse 18 there, being what this here, is referring to...
Ephesians 2:13 But now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ. 2:17 And came and preached peace to you which were afar off, and to them that were nigh. 2:19 Now therefore ye are no more strangers and foreigners, but fellowcitizens with the saints, and of the household of God;
"...you which WERE afar off" - the Gentiles Paul had been sent to - "and to them that WERE nigh" - the People: Israel, that Paul had been delivered from, after that both he and the Unbelieving of his People, had been concluded blind, or under sin with the Gentiles.
The irony?
That the Lord used a member of the Believing Remnant to for a witness of this transition from Prophecy to Mystery...
Acts 9:10 And there was a certain disciple at Damascus, named Ananias; and to him said the Lord in a vision, Ananias. And he said, Behold, I am here, Lord. 9:11 And the Lord said unto him, Arise, and go into the street which is called Straight, and enquire in the house of Judas for one called Saul, of Tarsus: for, behold, he prayeth, 9:12 And hath seen in a vision a man named Ananias coming in, and putting his hand on him, that he might receive his sight.
Acts 22:12 And one Ananias, a devout man according to the law, having a good report of all the Jews which dwelt there, 22:13 Came unto me, and stood, and said unto me, Brother Saul, receive thy sight. And the same hour I looked up upon him. 22:14 And he said, The God of our fathers hath chosen thee, that thou shouldest know his will, and see that Just One, and shouldest hear the voice of his mouth. 22:15 For thou shalt be his witness unto all men of what thou hast seen and heard.
Not only has there always been a Believing Remnant of Israel, but used by God during one or another of His transitions from one season to another...
Judges 4:1 And the children of Israel again did evil in the sight of the LORD, when Ehud was dead. 4:2 And the LORD sold them into the hand of Jabin king of Canaan, that reigned in Hazor; the captain of whose host was Sisera, which dwelt in Harosheth of the Gentiles. 4:3 And the children of Israel cried unto the LORD: for he had nine hundred chariots of iron; and twenty years he mightily oppressed the children of Israel.
4:4 And Deborah, a prophetess, the wife of Lapidoth, she judged Israel at that time.
Luke 2:25 And, behold, there was a man in Jerusalem, whose name was Simeon; and the same man was just and devout, waiting for the consolation of Israel: and the Holy Ghost was upon him.
2:26 And it was revealed unto him by the Holy Ghost, that he should not see death, before he had seen the Lord's Christ.
2:27 And he came by the Spirit into the temple: and when the parents brought in the child Jesus, to do for him after the custom of the law, 2:28 Then took he him up in his arms, and blessed God, and said, 2:29 Lord, now lettest thou thy servant depart in peace, according to thy word: 2:30 For mine eyes have seen thy salvation, 2:31 Which thou hast prepared before the face of all people; 2:32 A light to lighten the Gentiles, and the glory of thy people Israel.
2:33 And Joseph and his mother marvelled at those things which were spoken of him.
2:34 And Simeon blessed them, and said unto Mary his mother, Behold, this child is set for the fall and rising again of many in Israel; and for a sign which shall be spoken against; 2:35 (Yea, a sword shall pierce through thy own soul also,) that the thoughts of many hearts may be revealed.
2:36 And there was one Anna, a prophetess, the daughter of Phanuel, of the tribe of Aser: she was of a great age, and had lived with an husband seven years from her virginity; 2:37 And she was a widow of about fourscore and four years, which departed not from the temple, but served God with fastings and prayers night and day.
2:38 And she coming in that instant gave thanks likewise unto the Lord, and spake of him to all them that looked for redemption in Jerusalem.
2:39 And when they had performed all things according to the law of the Lord, they returned into Galilee, to their own city Nazareth. 2:40 And the child grew, and waxed strong in spirit, filled with wisdom: and the grace of God was upon him.
I'm short, what Tam said - that Israel has always had...a Believing Remnant.
Rom. 5:6-8.