What is "at the very least"

Usage examples of "at the very least".

I cannot imagine any motive for this except from Nathan Brazil, and, since he knows I cannot be killed, I can only guess that he has learned of my intentions and is attempting to slow me down, possibly lay me up for weeks or months in a nontech hex hospital, or at the very least kidnap me and imprison me somewhere in the interior.

I cannot imagine any motive for this except from Nathan Brazil, and, since he knows I cannot be killed, I can only guess that he has learned of my intentions and is attempting to slow me down, possibly lay me up for weeks or months in a nontech hex hospital, or at the very least kidnap me and imprison me somewhere in the inte­.

Mixed feeling: pleasure that Jack was playing, and playing so well: sorrow that what he played was so unlike the Jack Aubrey he knew, bold, sanguine, enterprising, with a face made for laughter or at the very least for smiling.

Back home, for something like that, a person could be charged with a misdemeanor, at the very least.

Even the meekest of the trolls wanted to rush to the aid of the wounded, at the very least, and most of them seemed ready to join the cannibals and do battle against the murderous evil.