"The Extent of Christ's Absolute Satisfaction is established by the inseparable connection between the gift of Christ and the gift of the Holy Spirit as these two gifts, the most excellent which God has bestowed on us, are always in Scripture joined together as cause and effect, they must be of equal extent and go together; so that the Son is not given to acquire salvation for any others than those to whom the Spirit was given to apply the salvation procured. No reason can be assigned why the gift of the Son should be more extensive than the gift of the Holy Spirit. It is plain that the Holy Spirit is given to none but the elect.." - Francis Turretin
Scripture to collaborate this blessed truth
Gal 3:13-14
13 Christ hath redeemed us from the curse of the law, being made a curse for us: for it is written, Cursed is every one that hangeth on a tree:
14 That the blessing of Abraham might come on the Gentiles through Jesus Christ; that we might receive the promise of the Spirit through faith.
Gal 4:4-6
4 But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,
5 To redeem them that were under the law, that we might receive the adoption of sons.
6 And because ye are sons, God hath sent forth the Spirit of his Son into your hearts, crying, Abba, Father.
Those who Christ died for with Him God gives all things Rom 8:32
32 He that spared not his own Son, but delivered him up for us all, how shall he not with him also freely give us all things?
Rom 5:5
5 And hope maketh not ashamed; because the love of God is shed abroad in our hearts by the Holy Ghost which is given unto us. 9