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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| (A & B) $\rightarrow$ [A $\rightarrow$ (D & E)] |
| (A & B) & C |
| $\therefore$E v G |
| $(P \rightarrow Q)\ \&\ (R \rightarrow S)$ |
| $(Q \rightarrow T)\ \&\ (S \rightarrow P)$ |
| $\sim T$ |
| $\therefore \sim R\ \&\ \sim T$ |
| $M \rightarrow \sim (S \ \&\ T)$ |
| $\sim (A \ \&\ B)\ v\ \sim D$ |
| $\sim D (S \ \&\ T)$ |
| $M$ |
| $[\sim (A \ \&\ B) \ \&\ M)\ v\ D$ |
| $(A \rightarrow B) \rightarrow R$ |
| $R \rightarrow S$ |
| $(A \rightarrow B)\ \&\ T$ |
| $S\ \&\ T$ |