Question
~ Q v R
| Column $\rightarrow$ | 1 | 2 | 3 | 4 |
| Row $\downarrow$ | Q | P | ~ Q | ~ Q v P |
| 1 | T | T | F | T |
| 2 | T | F | F | F |
| 3 | F | T | T | T |
| 4 | F | F | T | T |
| 1(~) | 3, 2 (v) | |||
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| $(A\ v\ B)\ \rightarrow\ [D\ \rightarrow\ (P\ \&\ \sim\ Q)]$ |
| $(A\ \&\ J)\ \rightarrow [(P\ \&\ \sim\ Q)\ \rightarrow\ K]$ |
| $(A\ \&\ J)\ \&\ (\sim\ K\ v\ D)$ |
| $\therefore\ (D \rightarrow\ K)\ v\ \sim\ Q$ |
| $T \rightarrow Q$ |
| $B \rightarrow (K\ v\ T)$ |
| $(N \rightarrow B) \rightarrow (K\ v\ B)$ |
| $K\ v\ (N \rightarrow B)$ |
| $\sim K$ |
| $\therefore\ \sim Q\ v\ Z$ |