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(a) [p (p q)] q (b) [(p q) (q r)] (p r) (c) [p (p q)] q (d) [(p q) (p r) (q r)] r

(a) [p (p q)] q

(b) [(p q) (q r)] (p r)

(d) [(p q) (p r) (q r)] r

Show that each conditional statement above is a tautology without using truth tables

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