doc-src/TutorialI/Misc/document/natsum.tex
changeset 16069 3f2a9f400168
parent 15481 fc075ae929e4
child 16523 f8a734dc0fbc
--- a/doc-src/TutorialI/Misc/document/natsum.tex	Wed May 25 09:03:53 2005 +0200
+++ b/doc-src/TutorialI/Misc/document/natsum.tex	Wed May 25 09:04:24 2005 +0200
@@ -24,9 +24,11 @@
 \isamarkuptrue%
 \isacommand{lemma}\ {\isachardoublequote}sum\ n\ {\isacharplus}\ sum\ n\ {\isacharequal}\ n{\isacharasterisk}{\isacharparenleft}Suc\ n{\isacharparenright}{\isachardoublequote}\isanewline
 \isamarkupfalse%
-\isamarkupfalse%
+\isacommand{apply}{\isacharparenleft}induct{\isacharunderscore}tac\ n{\isacharparenright}\isanewline
 \isamarkupfalse%
+\isacommand{apply}{\isacharparenleft}auto{\isacharparenright}\isanewline
 \isamarkupfalse%
+\isacommand{done}\isamarkupfalse%
 %
 \begin{isamarkuptext}%
 \newcommand{\mystar}{*%
@@ -107,7 +109,7 @@
 \isamarkuptrue%
 \isacommand{lemma}\ {\isachardoublequote}min\ i\ {\isacharparenleft}max\ j\ {\isacharparenleft}k{\isacharasterisk}k{\isacharparenright}{\isacharparenright}\ {\isacharequal}\ max\ {\isacharparenleft}min\ {\isacharparenleft}k{\isacharasterisk}k{\isacharparenright}\ i{\isacharparenright}\ {\isacharparenleft}min\ i\ {\isacharparenleft}j{\isacharcolon}{\isacharcolon}nat{\isacharparenright}{\isacharparenright}{\isachardoublequote}\isanewline
 \isamarkupfalse%
-\isamarkupfalse%
+\isacommand{apply}{\isacharparenleft}arith{\isacharparenright}\isamarkupfalse%
 \isamarkupfalse%
 %
 \begin{isamarkuptext}%