8749
|
1 |
\begin{isabelle}%
|
|
2 |
\isanewline
|
|
3 |
~~~~{"}prime(p)~{\isasymequiv}~1~<~p~{\isasymand}~((m~dvd~p)~{\isasymlongrightarrow}~(m=1~{\isasymor}~m=p)){"}%
|
|
4 |
\begin{isamarkuptext}%
|
|
5 |
\noindent\small
|
|
6 |
where \isa{dvd} means ``divides''.
|
|
7 |
Isabelle rejects this ``definition'' because of the extra \isa{m} on the
|
|
8 |
right-hand side, which would introduce an inconsistency. (Why?) What you
|
|
9 |
should have written is%
|
|
10 |
\end{isamarkuptext}%
|
|
11 |
~{"}prime(p)~{\isasymequiv}~1~<~p~{\isasymand}~({\isasymforall}m.~(m~dvd~p)~{\isasymlongrightarrow}~(m=1~{\isasymor}~m=p)){"}\end{isabelle}%
|
9145
|
12 |
%%% Local Variables:
|
|
13 |
%%% mode: latex
|
|
14 |
%%% TeX-master: "root"
|
|
15 |
%%% End:
|