CHAPTER Basic Techniques to Prove If/Then Statements WHAT DOES "IF/THEN" MEAN? 2 Let's start by looking at the details of a process that goes on almost automatically in our minds hundreds of times every day: deciding whether something is true or false. Suppose you make the following state- ment: "If I go home this weekend, I will take my parents out to dinner." When is your statement true? When is it false? That is, when could you be accused of lying? The statement we are considering is a composite statement, and its two parts are the following simple statements: A: I go home this weekend. B: I will take my parents out to dinner. As far as your trip is concerned, there are two possibilities: i. You are going home this weekend (A is true).