Genesis 31:53

53May the God of Abraham and the God of Nahor, the God of their father, judge between us.”

So Jacob took an oath in the name of the Fear of his father Isaac.

53The God of Abraham and the God of Nahor, the God of their father, judge between us.” So Jacob swore by the fear of his father Isaac.

53The God of Abraham and the God of Nahor, the God of their father, judge between us.” So Jacob swore by the fear of his father Isaac.

53The God of Abraham [your father] and the God of Nahor [my father], and the 31:53 Here “god” is put in lowercase because Joshua later declared that Terah, the father of Abraham and Nahor, was an idolater, serving “other gods” (Josh 24:2). The wording of the Hebrew here indicates that Laban equated the God of Abraham and Nahor with the god of Terah. Whether Laban actually made no distinction in his mind between the true God and false gods, or simply committed an oversight, is not clear. Jacob evidently recognized the ambiguity in Laban’s statement as well, so to avoid any possibility of swearing allegiance to a false god, he swore his own oath by the God of Isaac.god [the image of worship] of their father [Terah, an idolater], judge between us.” But Jacob swore [only] by [the one true God] the Fear of his father Isaac. [Josh 24:2]

53May the God of Abraham and the God of Nahor, the God of their father, judge between us.”

So Jacob swore by the Fear of his father Isaac.

53The God of Abraham and Nahor is also the God of their father. May their God decide which of us is right.”

So Jacob made a promise using the name of the God his father Isaac worshiped.