Both Faith and Repentance are given by Christ to them He saves Acts 5:31
31 Him hath God exalted with his right hand to be a Prince and a Saviour, for to give repentance to Israel, and forgiveness of sins.
2 Pet 1:1
Simon Peter, a servant and an apostle of Jesus Christ, to them that have obtained like precious faith with us through the righteousness of God and our Saviour Jesus Christ:
Heb 12:2
2 Looking unto Jesus the author and finisher of our faith; who for the joy that was set before him endured the cross, despising the shame, and is set down at the right hand of the throne of God.
"Give" in Acts 5:31 means "offer" or "provide".
Instead of proof-texting, better learn the full Gospel:
A systematic study of the DOE might begin well by interpreting a proof-text that seems to be the fountainhead of the TULIP dogma, namely Romans 9:10-24, in the context of the rest of relevant Scripture in Romans regarding salvation/election (s/e), which is Romans 1-11 (the first five chapters focusing on U vs. F):
1. Romans 1:16 says the Gospel reveals that (s/e) is for “everyone who believes”, both Jew and Gentile. [IF whosoever believes]
2. Romans 1:17 describes s/e as “righteousness from God” that is by faith “from first to last” or from creation until the end. [IF whosoever believes from conversion until death]
3. Romans 2:4 teaches that God’s kindness or patience with sinners is meant to lead them toward repentance, which implies that sinners are able to repent because of God’s leading. [IF whosoever repents of unbelief/ignoring GW]
4. Romans 2:5 warns that those who do not repent but instead stubbornly resist God’s leading are storing up wrath against themselves for the day when God’s righteous judgment will be revealed, which implies that God enables sinners to repent–or not (cf. Deut. 30:19). [“or not” signifies IF ]
5. Romans 2:6 affirms what is called karma by saying that “God will give to each person according to what he has done”, which (in Gal. 6:7-9) is called reaping what a person sows. [IF whosoever believes, then heaven, IF not–then hell]
6. Romans 2:7 speaks of the need for “persistence in doing good” and seeking glory, honor and immortality in order to receive s/e or eternal life, which echoes what Jesus commanded (in Matt. 7:7) and connects with the doctrine of perseverance (cf. Heb. 10:36 & Jam. 1:3-4). [IF whosoever perseveres in saving belief]
7. Romans 2:11 teaches that “God does not show favoritism” (cf. Eph. 6:9, Col. 3:25, 1Pet. 1:17), which is how God judges people justly, so the fact that some sinners ignore God’s Gospel indicates that His will or leading is resistible because of MFW. [resistible = or not = IF]
8. Romans 2:15 teaches that sinful souls have a conscience or awareness of “the requirements of the law”, which may be combined with Romans 1:20 to teach that God’s power and moral nature or will may be perceived via creation and conscience (called natural revelation), thus those unfamiliar with God’s Word in Scripture have no good reason for resisting divine leading and choosing atheism/evil. [resisting/choosing atheism is made possible by IF]
9a. Rom. 3:9-18 says that all humanity are sinners or bent on sinning instead of following God’s law through which we become aware of sin, but it does NOT say, man is incapable of believing in Jesus and the Gospel, because the disobedience of Adam and Eve caused all humans to be born with an inherited sin nature and thus having a saving faith is against their very nature.
9b. Romans 3:20-21 states the law makes souls conscious of sin and that “the Law and Prophets testify” or prepare the way for the new revelation of righteousness from God apart from the Law, which takes up where Romans 1:17 left off. [IF in the OT is found in Deut. 30:19]
10. Romans 3:22a says that “righteousness from God” or s/e comes through faith “in Jesus Christ” (cf. Eph. 2:8), a phrase Paul used eleven times in Ephesians 1:3-14 to indicate s/e. [IF = faith; in JC–or not/in self/Satan]
11. Romans 3:22b says that God’s righteousness is given “to all who believe—there is no difference”” signifying that all sinners may believe or be s/e (cf. 1Tim. 2:3-4, John 3:16, Tit. 2:11), because there is no favoritism (#7). [may–or may not = IF]
12. Romans 3:23 teaches that “all have sinned and fall short of the glory of God”, meaning that no one can be good enough to earn salvation because of their own merit. [thus IF must choose belief in JC]
13. Romans 3:24 says sinners “are justified freely by his grace through the redemption that came by Christ Jesus” (via faith per v.22, cf. 3:27-28); s/e is free because Christ paid the price/cost. [IF whosoever believes in JC]
14. Romans 3:25a explains redemption as being “a sacrifice of atonement” for those who have faith in Christ’s work of dying in their place. [IF whosoever believes in JC]
15. Romans 3:25b further explains that God demonstrated his just patience (#3) or forbearance in leaving unpunished those sins committed before the revealing of the Gospel (foreshadowed in Gen. 22:8 & 13), implying that sinners had/have the opportunity to believe and be s/e thereby demonstrating God’s justice/not showing favoritism (#11). [opportunity = IF ]
16. Romans 3:26 continues to emphasize divine justice by declaring it three ways (“justice…, just…, justifies”), which justness is synonymous with righteousness (2Thes. 1:5-6, Heb. 6:10). [IF indicates God’s just judgment]
17. Romans 4:1-25 presents Abraham as a Gentile who became the physical father of the Jews and the spiritual father of all who choose to have faith in God/Christ. [Abe was the first to satisfy the condition of IF by believing in God]
18. Romans 5:1 echoes Eph. 2:8 by describing s/e as justification through faith, Eph. 1:5 & 7 by using the phrase “through Jesus Christ”, and Eph. 2:14 by describing s/e as having peace with God. [IF whosoever believes in JC]
19. Romans 5:2 & 5 also echo Eph. 2:18 & 3:1 by describing s/e as having access to God’s grace via the Holy Spirit.
20. Romans 5:6-10 states that God’s love (cf. kindness in #3) for the ungodly, for sinners and for His enemies is demonstrated by Christ dying for their s/e or justification/reconciliation.
21. Romans 5:12-21 describes s/e in corporate terms, saying that–like the first man–all (many?) men also sinned and died, and God’s grace comes to all (many?) because of Jesus Christ.
TBC?