X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.
A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.
The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.
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