Question
(P → Q) ↔ P
| Column $\rightarrow$ | 1 | 2 | 3 | 4 |
| Row $\downarrow$ | P | Q | P $\rightarrow$ Q | (P$\rightarrow$Q) $\leftrightarrow$P |
| 1 | T | T | T | T |
| 2 | T | F | F | F |
| 3 | F | T | T | F |
| 4 | F | F | T | F |
| 1, 2 ($\rightarrow$) | 3, 1 ($\leftrightarrow$) | |||
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $(A\ v\ B)\ \rightarrow\ [D\ \rightarrow\ (P\ \&\ \sim\ Q)]$ |
| $(A\ \&\ J)\ \rightarrow [(P\ \&\ \sim\ Q)\ \rightarrow\ K]$ |
| $(A\ \&\ J)\ \&\ (\sim\ K\ v\ D)$ |
| $\therefore\ (D \rightarrow\ K)\ v\ \sim\ Q$ |
| $K\rightarrow\ (W\ \rightarrow\ X)$ |
| $( \sim\ Q\ \&\ \sim\ K)\ \rightarrow\ (\sim\ Y\ v\ \sim\ M)$ |
| $(\sim\ Y\ \rightarrow\ \sim\ Z)\ \&\ (\sim\ M\ \rightarrow\ \sim\ P)$ |
| $(W\ \rightarrow\ X)$ |
| $\therefore \sim\ Z\ v\ \sim\ p$ |