doc-src/TutorialI/Misc/document/prime_def.tex
author wenzelm
Wed, 02 Aug 2000 19:40:14 +0200
changeset 9502 50ec59aff389
parent 9458 c613cd06d5cf
child 9541 d17c0b34d5c8
permissions -rw-r--r--
adapted deriv;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
8749
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     1
\begin{isabelle}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     2
\isanewline
9458
c613cd06d5cf apply. -> by
nipkow
parents: 9145
diff changeset
     3
~~~~{"}prime(p)~{\isasymequiv}~1~<~p~{\isasymand}~(m~dvd~p~{\isasymlongrightarrow}~(m=1~{\isasymor}~m=p)){"}%
8749
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     4
\begin{isamarkuptext}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     5
\noindent\small
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     6
where \isa{dvd} means ``divides''.
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     7
Isabelle rejects this ``definition'' because of the extra \isa{m} on the
9458
c613cd06d5cf apply. -> by
nipkow
parents: 9145
diff changeset
     8
right-hand side, which would introduce an inconsistency (why?). What you
8749
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     9
should have written is%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
    10
\end{isamarkuptext}%
9458
c613cd06d5cf apply. -> by
nipkow
parents: 9145
diff changeset
    11
~{"}prime(p)~{\isasymequiv}~1~<~p~{\isasymand}~({\isasymforall}m.~m~dvd~p~{\isasymlongrightarrow}~(m=1~{\isasymor}~m=p)){"}\end{isabelle}%
9145
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    12
%%% Local Variables:
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    13
%%% mode: latex
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    14
%%% TeX-master: "root"
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    15
%%% End: