Question
~ R v ~ P
| Column $\rightarrow$ | 1 | 2 | 3 | 4 | 5 |
| Row $\downarrow$ | R | P | ~R | ~P | ~R v ~ P |
| 1 | T | T | F | F | F |
| 2 | T | F | F | T | T |
| 3 | F | T | T | F | T |
| 4 | F | F | T | T | T |
| 1(~) | 2(~) | 3, 4 (v) | |||
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| (~ X v ~ Y) $\rightarrow$ [A $\rightarrow$ (P & ~ Q)] |
| (~ X & ~R) $\rightarrow$ [(P & ~Q) $\rightarrow$ Z) |
| (~ X & ~R) & (~ Z v A) |
| $\therefore$ (A $\rightarrow$ Z) v ~ R |
| $(E\rightarrow F)\rightarrow H$ |
| $\sim J\ v (F\ \&\ G)$ |
| $F \rightarrow(H\rightarrow I)$ |
| $\sim\ \sim J$ |
| $G\ \&\ [(E\rightarrow F) \rightarrow I]$ |
| $M\ \rightarrow\ N$ |
| $D\ v\ (N\ \rightarrow\ P)$ |
| $R\ v\ \sim\ D$ |
| $(A\ \&\ B)\ \rightarrow\ \sim\ R$ |
| $A\ \&\ B$ |
| $(M \rightarrow P)\ v\ Z$ |