The “all solution” predicates recognize the following construct as
meaning “there exists an `X` such that `P` is true”, and
treats it as equivalent to `P`. The use of this explicit
existential quantifier outside the `setof/3`

and `bagof/3`

constructs is superfluous and discouraged. Thus, the following two
goals are equivalent:

X^PP

The following construct is meaningful in the context of modules
(see ref-mod), meaning “`P` is true in the context of the `M` module”:

M:P

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