src/Doc/Tutorial/Misc/prime_def.thy
author Christian Sternagel
Wed, 29 Aug 2012 10:57:24 +0900
changeset 49081 092668a120cc
parent 48985 5386df44a037
child 58860 fee7cfa69c50
permissions -rw-r--r--
changed arguement order of suffixeq (to facilitate reading "suffixeq xs ys" as "xs is a (possibly empty) suffix of ys)

(*<*)
theory prime_def imports Main begin;
consts prime :: "nat \<Rightarrow> bool"
(*>*)
text{*
\begin{warn}
A common mistake when writing definitions is to introduce extra free
variables on the right-hand side.  Consider the following, flawed definition
(where @{text"dvd"} means ``divides''):
@{term[display,quotes]"prime(p) == 1 < p & (m dvd p --> (m=1 | m=p))"}
\par\noindent\hangindent=0pt
Isabelle rejects this ``definition'' because of the extra @{term"m"} on the
right-hand side, which would introduce an inconsistency (why?). 
The correct version is
@{term[display,quotes]"prime(p) == 1 < p & (!m. m dvd p --> (m=1 | m=p))"}
\end{warn}
*}
(*<*)
end
(*>*)