The same promise in Jeremiah
Thesis V. What we read in Jeremiah 31 agrees with this: 'The days are coming, says the Lord, when I will make a new covenant with the house of Israel and the house of Judah. It will not be like the covenant I made with your fathers on the day I took them by the hand to lead them out of Egypt, a covenant they broke, and I was lord over them, says the Lord.
This is the covenant I will make with the house of Israel after those days, says the Lord: I will put my law within them and write it on their hearts; I will be their God, and they will be my people.' And in the next chapter: 'I will give them one heart and one way, so that they fear me all their days, and that it may be well with them and with their children after them. I will make an everlasting covenant with them and never stop doing them good, and I will put the fear of me in their hearts, so that they do not turn away from me.'
Latin
V. Quibus consona sunt quae habentur apud Jeremiam, cap. 31. Ecce dies venient, dicit Dominus, & feriam domui Israel, & domui Juda, foedus novum. Non secundum pactum quod pepigi cum patribus vestris in die qua apprehendi manum eorum, ut educerem eos de terra Aegypti: quod pactum irritum fecerunt, & ego dominatus sum eorum, dicit Dominus. Sed hoc erit pactum quod feriam cum domo Israel post dies illos, dicit Dominus. Dabo legem meam in visceribus eorum, & in corde eorum scribam eam: & ero eis in Deum, & ipsi erunt mihi in populum. Et cap. sequenti, Dabo eis cor unum & viam unam, ut timeant me universis diebus: & bene sit eis, & filiis eorum post eos. Et feriam eis pactum sempiternum: & non desinam eis benefacere: & timorem meum dabo in corde eorum: ut non recedant a me.