That's very close to my definition, although "completely" is a bit unnecessary. True statements, like scientific theories, are always subject to verification, and possible falsification. It's possible to be mistaken about what we think is true.
Also, there is another kind of truth. There are those who say that some incorporeal, perfect "truth" is floating above us, and all we can do is try to attain it. That abstract, Platonic truth is an intellectual ideal, and isn't the same thing we're talking about when we say that a statement is true.
I usually define it as: A statement which is an accurate description of reality. Thus, without statements, and rational beings to utter them, there is no truth.