exercise #12 page 79 is my question Show that the argument form with premises pi

Question

exercise #12 page 79 is my question

Show that the argument form with premises pi, p2,...,pn and conclusion q rightarrow r is valid if the argument form with premises pl,p2,..., pn, q, and conclusion r is valid. Answer : Suppose that p1, p2,...,pn are true. We want to establish that q rightarrow r is true. If q is false, then we are done, vacuously. Otherwise, q is true, so by the validity of the given argument form (that whenever p1, p2,..., pn, q are true, then r must be true), we know that r is true. Exercise #12 page 79 Show that the argument form with premises (p t) rightarrow (r V s), q rightarrow (u t),u rightarrow p, and s and conclusion q rightarrow r is valid by first using Exercise 11 and then using rules of inference.(ref. Table 1 in the textbook)

Explanation / Answer

From Ex 11,

thus proved.

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