You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
16 lines
346 B
16 lines
346 B
$b = $ I press the button. \\
|
|
$w = $ The window is open. \\
|
|
|
|
\bigskip
|
|
|
|
$b \implies w, \lnot w \entails \lnot b$
|
|
\begin{logicproof}{2}
|
|
b \implies w & \prem \\
|
|
\lnot w & \prem \\
|
|
\begin{subproof}
|
|
b & \assum \\
|
|
w & $\impe 1,3$ \\
|
|
\false & $\nege 2,4$
|
|
\end{subproof}
|
|
\lnot b & $\negi 3-5$
|
|
\end{logicproof}
|