UniqueSolution(Q(x), ForElement(x, S)), rendered x∈Ssolution*Q(x), represents the unique value x∈S
satisfying Q(x).
This operation is undefined if such a value does not exist or is not unique.
UniqueSolution(Q(x), ForElement(x, S), P(x)), rendered x∈S,P(x)solution*Q(x), represents the unique value x∈S
satisfying P(x)
and Q(x).
UniqueSolution(Q(x), For(x), P(x)), rendered P(x)solution*Q(x), represents the unique value x
satisfying P(x)
and Q(x).
UniqueSolution(Q(x, y), For(Tuple(x, y)), P(x, y)), rendered P(x,y)solution*Q(x,y), represents the unique tuple (x,y)
satisfying P(x,y)
and Q(x,y), and similarly for any number n≥2
of variables.
The special expression For(x) or ForElement(x, S) declares x as a locally bound variable within the scope of the arguments to this operator. If For(x) is used instead of ForElement(x, S), the corresponding predicate P(x)
must define the domain of x
unambiguously; that is, it must include a statement such as x∈S
where S
is a known set. Similarly, For(Tuple(x, y)), For(Tuple(x, y, z)), etc. defines multiple locally bound variables which must be accompanied by a multivariate predicate P(x,y), P(x,y,z), etc.
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
UniqueSolution | x∈Ssolution*Q(x) | Unique solution |
Source code for this entry:
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