Assume that the following two hypotheses are true: (1) If the basketball center is healthy or the point guard is hot, then the team will win and the fans will be happy; and (2) if the fans are happy or the coach is a millionaire, then the college will balance the budget. Derive the following conclusion: If the basketball center is healthy, then the college will balance the budget. Using letters to represent the simple statements, write out a formal proof in the format of Exercise.
Exercise: In each part, a list of hypotheses is given. These hypotheses are assumed to be true. Using tautologies from Example 1.3.12, you are to establish the desired conclusion. Indicate which tautology you are using to justify each step.
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