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Show that [(ptoq)^^(qto r)] to ( p to r)...

Show that `[(ptoq)^^(qto r)] to ( p to r)`is a tautology

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Truth values of `[(p to q) ^^(q to r)] to (p to r) `

For all possible truth values of p and q , the compound statement `[(p to q)^^(q to r)] to (p to r) ` is true.
Thus, `[(p to q) ^^(q to r) ] to ( p to r)` is a tautolgy.
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