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Question: Answered & Verified by Expert
The statement pattern $[p \rightarrow(q \rightarrow p)] \rightarrow[p \rightarrow(p \vee q)]$ is
MathematicsMathematical ReasoningMHT CETMHT CET 2022 (11 Aug Shift 1)
Options:
  • A A tautology
  • B A contradiction
  • C A contingency
  • D Equivalent to $p \leftrightarrow q$
Solution:
1636 Upvotes Verified Answer
The correct answer is: A tautology
$p \rightarrow(q \rightarrow p)$ is a tautology
$p \rightarrow(p \vee q)$ is a tautology
Hence, $[p \rightarrow(q \rightarrow p)] \rightarrow[p \rightarrow(p \vee q)]$ is a tautology

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