Answer:
See below:
Step-by-step explanation:
[tex]p \: \therefore \: q \implies \: p \: therefore \: q \\ \\ p \: \iff \: q \implies \: p \: if \: and \: only \: if \: q \\ \\ p \: \land \: q \implies \: p \: and \: q \\ \\ p \: \lor \: q \implies \: p \: or \: q \\ \\ p \: \land \: \sim \: q \implies \: p \: and \: not \: q \\ \\ q \: \implies \: \sim \: p \implies \: if \: q \: then \: not \: p \\ \\ \sim \: p \implies \: q \implies \: if \: not \: p \: then \: q[/tex]
