Question
~ { p$\leftrightarrow$[ ~p v ( q & ~ q)]}
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| p | q | ~ p | ~ q | p & ~ q | ~ p v (q & ~ q) | p$\leftrightarrow$[ ~ p v (q & ~ q) | ~ { p$\leftrightarrow$[ ~p v ( q & ~ q)]} | |
| 1 | T | F | F | F | F | F | F | T |
| 2 | T | F | F | T | F | F | F | T |
| 3 | F | T | T | F | F | T | F | T |
| 4 | F | T | T | T | F | T | F | T |
| 1 (~) | 2(~) | 2, 4 (&) | 3, 5 (V) | 1, 6 ($\leftrightarrow$) | 7 (~) | |||
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| $(A\ \rightarrow\ B)\ \&\ (D\ \rightarrow\ E)$ |
| $(B\ \rightarrow\ T)\ \&\ (E\ \rightarrow\ A)$ |
| $\sim\ T$ |
| $\therefore\ \sim\ D\ \&\ \sim\ T$ |
| $M \rightarrow \sim (S \ \&\ T)$ |
| $\sim (A \ \&\ B)\ v\ \sim D$ |
| $\sim D (S \ \&\ T)$ |
| $M$ |
| $[\sim (A \ \&\ B) \ \&\ M)\ v\ D$ |