Let p, q and r be statement variables. (a) Prove that (p = (q ^ r)) (b) Prove that (p= (q ^ r)) = ((p= q) ^ (p → r)) without using a truth table. = ((p= q) ^ (p= r))) by constructing a logic table.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I do not know how to transfer implication to conjunction in order to prove this problem.

Let p, q and r be statement variables.
(a) Prove that (p→ (q ^ r)) = ((p= q) ^ (p→ r))) by constructing a logic table.
(b) Prove that (p= (q ^ r)) = ((p= q) ^ (p= r)) without using a truth table.
Transcribed Image Text:Let p, q and r be statement variables. (a) Prove that (p→ (q ^ r)) = ((p= q) ^ (p→ r))) by constructing a logic table. (b) Prove that (p= (q ^ r)) = ((p= q) ^ (p= r)) without using a truth table.
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