In mathematics, the infimum (abbreviated inf; pl.: infima) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the greatest element in P {\displaystyle P} that is less than or equal to each element of S , {\displaystyle S,} if such an element exists. If the infimum of S {\displaystyle S} exists, it is unique, and if b is a lower bound of S {\displaystyle S} , then b is less than or equal to the infimum of S {\displaystyle S} .
In mathematics, the infimum (abbreviated inf; pl.: infima) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the greatest element in P {\displaystyle P} that is less than or equal to each element of S , {\displaystyle S,} if such an element exists. If the infimum of S {\displaystyle S} exists, it is unique, and if b is a lower bound of S {\displaystyle S} , then b is less than or equal to the infimum of S {\displaystyle S} .
Source: Wikipedia "Infimum and supremum" · CC BY-SA 4.0
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