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