Questionnaire-2024/natural_deduction_propositional_logic/0082_sol.tex

\begin{logicproof}{2}
	    q \imp r & \prem \\
	    \begin{subproof}
	        p \lor q & \assum\\
	        \begin{subproof}
	            p & \assum \\
              p \lor r & $\ori{1} 2$
	        \end{subproof}
	        \begin{subproof}
	           q & \assum \\
	           r & $\impe 5,1$ \\
             p \lor r & $\ori{2} 6$
	        \end{subproof}
	        p \lor r & $\ore 2,3-4,5-7$
	    \end{subproof}
	    p \lor q \imp (p \lor r) &$\impi 2-8$
\end{logicproof}