doc-src/TutorialI/Misc/document/Tree.tex
author wenzelm
Mon, 26 Jun 2000 11:21:49 +0200
changeset 9145 9f7b8de5bfaf
parent 8749 2665170f104a
child 9493 494f8cd34df7
permissions -rw-r--r--
updated;
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
%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     3
\begin{isamarkuptext}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     4
\noindent
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     5
Define the datatype of binary trees%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     6
\end{isamarkuptext}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     7
\isacommand{datatype}~'a~tree~=~Tip~|~Node~{"}'a~tree{"}~'a~{"}'a~tree{"}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     8
\begin{isamarkuptext}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
     9
\noindent
2665170f104a Adding generated files
nipkow
parents:
diff changeset
    10
and a function \isa{mirror} that mirrors a binary tree
2665170f104a Adding generated files
nipkow
parents:
diff changeset
    11
by swapping subtrees (recursively). Prove%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
    12
\end{isamarkuptext}%
2665170f104a Adding generated files
nipkow
parents:
diff changeset
    13
\isacommand{lemma}~mirror\_mirror:~{"}mirror(mirror~t)~=~t{"}\end{isabelle}%
9145
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    14
%%% Local Variables:
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    15
%%% mode: latex
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    16
%%% TeX-master: "root"
9f7b8de5bfaf updated;
wenzelm
parents: 8749
diff changeset
    17
%%% End: