A set is said to be bounded from below if it has a lower bound.
Consider the real numbers with their usual order. Then for any set 
, the infimum 
exists (in 
) if and only if 
is bounded from below and nonempty.
Bounded from Below
See also
Bounded from Above, Greatest Lower Bound, Infimum, Lower BoundThis entry contributed by Roland Uhl
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Uhl, Roland. "Bounded from Below." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BoundedfromBelow.html