doc-src/TutorialI/Misc/document/natsum.tex
changeset 15481 fc075ae929e4
parent 15364 0c3891c3528f
child 16069 3f2a9f400168
--- a/doc-src/TutorialI/Misc/document/natsum.tex	Sun Jan 30 20:48:50 2005 +0100
+++ b/doc-src/TutorialI/Misc/document/natsum.tex	Tue Feb 01 18:01:57 2005 +0100
@@ -24,11 +24,9 @@
 \isamarkuptrue%
 \isacommand{lemma}\ {\isachardoublequote}sum\ n\ {\isacharplus}\ sum\ n\ {\isacharequal}\ n{\isacharasterisk}{\isacharparenleft}Suc\ n{\isacharparenright}{\isachardoublequote}\isanewline
 \isamarkupfalse%
-\isacommand{apply}{\isacharparenleft}induct{\isacharunderscore}tac\ n{\isacharparenright}\isanewline
+\isamarkupfalse%
 \isamarkupfalse%
-\isacommand{apply}{\isacharparenleft}auto{\isacharparenright}\isanewline
 \isamarkupfalse%
-\isacommand{done}\isamarkupfalse%
 %
 \begin{isamarkuptext}%
 \newcommand{\mystar}{*%
@@ -109,7 +107,7 @@
 \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%
-\isacommand{apply}{\isacharparenleft}arith{\isacharparenright}\isamarkupfalse%
+\isamarkupfalse%
 \isamarkupfalse%
 %
 \begin{isamarkuptext}%