How to define a truth set that is the entire domain in logic?

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I just have a question regarding how to define a truth set for the following: Suppose the domain is all integers Z, and the statement is true for all integers in the domain.

How would i define the truth set? The way i have been writing them is {x E Z| x = 2k} - example for even integers. But i am not sure how you would define all of the domain.

thanks heaps Corey :)

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1 Answer

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How about $\{x: x=x\}$? (Or, making the domain explicit, $\{x\in D: x=x\}$.)

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