Consider the two following logical expressions: (1) (p → q) → r (2) p → (q → r) Let the first expression be X and the second expression be Y. With proof, determine which of the following (if any) is a tautology? (a) X → Y (b) Y → X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the two following logical expressions:

(1) (p → q) → r

(2) p → (q → r)

Let the first expression be X and the second expression be Y. With proof, determine which of the following (if any) is a tautology?

(a) X → Y

(b) Y → X

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