| $T \rightarrow W$ |
| $X \rightarrow Y$ |
| $Z \rightarrow W$ |
| $X \rightarrow A$ |
| $W \rightarrow X$ |
| $[(T \rightarrow Y)\ \&\ (Z \rightarrow A)] \rightarrow (T\ v\ Z)$ |
| $(1)\ T \rightarrow W$ | $P$ |
| $(2)\ X \rightarrow Y$ | $P$ |
| $(3)\ Z \rightarrow W$ | $P$ |
| $(4)\ X \rightarrow A$ | $P$ |
| $(5)\ W \rightarrow X$ | $P$ |
| $(6)\ [(T \rightarrow Y)\ \&\ (Z \rightarrow A)] \rightarrow (T\ v\ Z)$ | $P/ T\ v\ Z$ |
| $(7)\ T \rightarrow X$ | $1, 5 HS$ |
| $(8)\ T \rightarrow Y$ | $7, 2, HS$ |
| $(9)\ Z \rightarrow X$ | $3, 5, HS$ |
| $(10)\ Z \rightarrow A$ | $9, 4, HS$ |
| $(11)\ (T \rightarrow Y)\ \&\ (Z \rightarrow A)$ | $8, 10,$ Conj. |
| $(12)\ T\ v\ Z$ | $6, 11, MP$ |
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $(A \rightarrow B) \rightarrow R$ |
| $R \rightarrow S$ |
| $(A \rightarrow B)\ \&\ T$ |
| $S\ \&\ T$ |
| $(A\ v\ B)\ \rightarrow\ [D\ \rightarrow\ (P\ \&\ \sim\ Q)]$ |
| $(A\ \&\ J)\ \rightarrow [(P\ \&\ \sim\ Q)\ \rightarrow\ K]$ |
| $(A\ \&\ J)\ \&\ (\sim\ K\ v\ D)$ |
| $\therefore\ (D \rightarrow\ K)\ v\ \sim\ Q$ |
| $(A\ \&\ D) \rightarrow C$ |
| $E\rightarrow (B\ v\ D)$ |
| $F \rightarrow (A\ \&\ D)$ |
| $F\ \&\ G$ |
| $C\ v\ (B\ v\ D)$ |
| $G \rightarrow H$ |
| $(A\ v\ B) \rightarrow D$ |
| $D \rightarrow [(S\ \&\ T) \rightarrow P]$ |
| $(S\ \&\ T)\ v\ G$ |
| $A\ v\ B$ |
| $(P\ v\ H)\ \&\ D$ |
| $M\ \rightarrow\ N$ |
| $D\ v\ (N\ \rightarrow\ P)$ |
| $R\ v\ \sim\ D$ |
| $(A\ \&\ B)\ \rightarrow\ \sim\ R$ |
| $A\ \&\ B$ |
| $(M \rightarrow P)\ v\ Z$ |