For the following hypotheses and conclusions.
(a) Hypotheses: ~ r, (~ r ∧ s) ⇒ r
Conclusion: ~s
(b) Hypotheses: ~ t, (r ∨ s) ⇒ t
Conclusion: ~s
(c) Hypotheses: r ⇒ ~s, t ⇒ u, s ∨ t
Conclusion: ~ r ∨ u
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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