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Definition: If x is a variable and F is a formula, then the following are terms with bound variable x:
minx F maxx F
The value of the first term is the smallest value of x such that F holds; the value of the second term is the largest such value:
minx F := such x: F /\ (forall y: F[x <- y] => x <= y); maxx F := such x: F /\ (forall y: F[x <- y] => x >= y).
Quantifiers for every domain with a binary predicate <= .