Question
(P v Q) → ~ P
| Column $\rightarrow$ | 1 | 2 | 3 | 4 | 5 |
| Row $\downarrow$ | P | Q | ~P | P v Q | (Pv Q) $\rightarrow$ ~ P |
| 1 | T | T | F | T | F |
| 2 | T | F | F | T | F |
| 3 | F | T | T | T | T |
| 4 | F | F | T | F | T |
| 1(~) | 1, 2 (v) | 4, 3 ($\rightarrow$) | |||
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| $P \rightarrow Q$ |
| $P\ \&\ \sim S$ |
| $\therefore Q\ \&\ \sim P$ |
| $(R\ S) \rightarrow (F\ E)$ |
| $\sim (R\ S) \rightarrow J$ |
| $(F\ E) \rightarrow \sim H$ |
| $\sim\ \sim H$ |
| $\therefore \sim (J\ v\ G) \& \sim\ \sim H$ |
| $(A\ \&\ D) \rightarrow C$ |
| $E\rightarrow (B\ v\ D)$ |
| $F \rightarrow (A\ \&\ D)$ |
| $F\ \&\ G$ |
| $C\ v\ (B\ v\ D)$ |
| $(P \leftrightarrow Q) \rightarrow (A \leftrightarrow B)$ |
| $(R \ \&\ S)\ v\ (P \leftrightarrow Q)$ |
| $(F \ \&\ D) \rightarrow \sim\ (R \ \&\ S)$ |
| $(H \ \&\ G)\ v\ (F \ \&\ D)$ |
| $\sim (H \ \&\ G)$ |
| $(A \leftrightarrow B)\ v\ (B \leftrightarrow D)$ |