Prove that for any propositions p,q,r the compound proposition {pÃ ¢ (qÃ ¢ r)}Ã ¢ {(pÃ ¢ q)Ã ¢ (pÃ ¢ r)} is a tautology

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Solution:

Assume given compound proposition is:

$((p → q) ∧ (q → r)) → (p → r)$

Truth table:

Thus, it is a tautology.

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Question ID: mtid-5-stid-8-sqid-1382-qpid-1120