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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| $(P\ \&\ Q) \rightarrow R$ |
| $R \rightarrow (H \rightarrow G)$ |
| $H\ \&\ K$ |
| $P\ \&\ Q$ |
| $\therefore (G\ v\ I)\ \&\ H$ |
| $(E\rightarrow F)\rightarrow H$ |
| $\sim J\ v (F\ \&\ G)$ |
| $F \rightarrow(H\rightarrow I)$ |
| $\sim\ \sim J$ |
| $G\ \&\ [(E\rightarrow F) \rightarrow I]$ |