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Question
Construct the truth table of the following statement pattern.
[p → (q → r)] ↔ [(p ∧ q) → r]
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Solution
| p | q | r | q → r | p → (q → r) | p ∧ q | (p ∧ q) → r | [p → (q → r)] ↔ [(p ∧ q) → r] |
| T | T | T | T | T | T | T | T |
| T | T | F | F | F | T | F | T |
| T | F | T | T | T | F | T | T |
| T | F | F | T | T | F | T | T |
| F | T | T | T | T | F | T | T |
| F | T | F | F | T | F | T | T |
| F | F | T | T | T | F | T | T |
| F | F | F | T | T | F | T | T |
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