'Assuming' in the Bible

Now, assign me this hill country which the Lord promised me at that time! No doubt you heard at that time that the Anakites live there in large, fortified cities. But, assuming the Lord is with me, I will conquer them, as the Lord promised."

"I chose your son Solomon to be the one who will construct my Temple and my courts, because I have chosen him to be a son to me, and I will be a father to him. I will establish his kingdom forever, assuming he remains strongly committed to carry out my commandments and ordinances, as he is doing today.'

"Now as for you, my son Solomon, get to know the God of your father. Serve him with a sound heart and a devoted soul, because the LORD is searching every heart, every plan and thought. He will be found by you, assuming you are seeking him, but if you abandon him, he will abandon you forever.

She considers a field before she buys or accepts it [expanding her business prudently];With her profits she plants fruitful vines in her vineyard.