'Positively' in the Bible

Then they will know [with assurance] that I the Lord their God, am with them and that they, the house of Israel, are My people,” says the Lord God.

And the nations will know [without any doubt] that the house of Israel went into exile for their great sin, because they acted treacherously against Me; and I hid My face (favor, blessing) from them. So I gave them into the hand of their enemies, and they all fell [into captivity or were killed] by [the power of] the sword.

Then they will know [without any doubt] that I am the Lord their God because I made them go into exile among the nations, and then gathered them to their own land. I will leave none of them there [among the nations] any longer.