Prove or disprove that (p → q) → r and p → (q →r) are equivalent.

Name: Prove or disprove that (p → q) → r and p → (q →r) are equivalent.
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The Answer is Suppose that p is false, q is true, and r is false. Then (p → q) → r is false since its premise p→ q is true while its conclusion r is false. On the other hand, p →(q →r) is true in this situation since its premise p is false. Therefore (p→ q) → r and p →(q → r) are not equivalent.

Prove or Disprove That (P → Q) → R and P