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# lub(?S, ?Lub)

S is a set domain variable and Lub is the lower bound of its domain.
*?S*
- A set domain variable.
*?Lub*
- A free variable or a ground set.

## Description

Lub is the ground set corresponding to the upper bound of the domain of
S. If Lub is a free variable, it is instanciated to the upper bound of
the domain of S. If it is a ground set, it should be equal to the upper
bound of the domain of S, otherwise it fails.

### Fail Conditions

Fails if S is not a set domain variable or if Lub is a ground set not
equal to the upper bound of S domain.
### Resatisfiable

No.
## Examples

[eclipse 9]: S `:: {}.. {1,2,3,5}, lub(S,Lub).
S = S{{} .. {1, 2, 3}}
Lub = {1, 2, 3}
yes.

## See Also

`:: / 2, glb / 2, set_range / 3