Question
A ↔ ~ ~ A
| Column $\rightarrow$ | 1 | 2 | 3 | 4 |
| Row $\downarrow$ | A | ~ A | ~ ~ A | A$\leftrightarrow$ ~ ~ A |
| 1 | T | F | T | T |
| 2 | F | T | F | T |
| 1(~) | 2(~) | 1, 3 ($\leftrightarrow$) | ||
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| $R\ \rightarrow\ (S\ v\ T)$ |
| $P\ v((S\ v\ T)\ \rightarrow\ W]$ |
| $M\ v\ \sim\ P$ |
| $(H\ \&\ N)\ \rightarrow\ \sim\ M$ |
| $H\ \&\ N$ |
| $(R\ \rightarrow\ W)\ v\ S$ |
| $(F \rightarrow S)\ \&\ (R \rightarrow W)$ |
| $F\ \&\ R$ |
| $\therefore \sim S\ \&\ W$ |
| $N \rightarrow (\sim Z \rightarrow G)$ |
| $D \rightarrow [K\ v\ Y) \rightarrow M]$ |
| $(X\ v\ Y\ v\ \sim\ Z$ |
| $D\ \&\ N$ |
| $\therefore\ (M\ v\ G)\ v\ K$ |