doc-src/TutorialI/Misc/document/simp.tex
changeset 10396 5ab08609e6c8
parent 10395 7ef380745743
child 10397 e2d0dda41f2c
--- a/doc-src/TutorialI/Misc/document/simp.tex	Sat Nov 04 18:54:22 2000 +0100
+++ b/doc-src/TutorialI/Misc/document/simp.tex	Mon Nov 06 11:32:23 2000 +0100
@@ -2,8 +2,7 @@
 \begin{isabellebody}%
 \def\isabellecontext{simp}%
 %
-\isamarkupsubsubsection{Simplification rules%
-}
+\isamarkupsubsubsection{Simplification rules}
 %
 \begin{isamarkuptext}%
 \indexbold{simplification rule}
@@ -40,8 +39,7 @@
 \end{warn}%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{The simplification method%
-}
+\isamarkupsubsubsection{The simplification method}
 %
 \begin{isamarkuptext}%
 \index{*simp (method)|bold}
@@ -57,8 +55,7 @@
 Note that \isa{simp} fails if nothing changes.%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{Adding and deleting simplification rules%
-}
+\isamarkupsubsubsection{Adding and deleting simplification rules}
 %
 \begin{isamarkuptext}%
 If a certain theorem is merely needed in a few proofs by simplification,
@@ -76,8 +73,7 @@
 \end{quote}%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{Assumptions%
-}
+\isamarkupsubsubsection{Assumptions}
 %
 \begin{isamarkuptext}%
 \index{simplification!with/of assumptions}
@@ -127,8 +123,7 @@
 other arguments.%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{Rewriting with definitions%
-}
+\isamarkupsubsubsection{Rewriting with definitions}
 %
 \begin{isamarkuptext}%
 \index{simplification!with definitions}
@@ -176,8 +171,7 @@
 \end{warn}%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{Simplifying let-expressions%
-}
+\isamarkupsubsubsection{Simplifying let-expressions}
 %
 \begin{isamarkuptext}%
 \index{simplification!of let-expressions}
@@ -196,8 +190,7 @@
 default:%
 \end{isamarkuptext}%
 \isacommand{declare}\ Let{\isacharunderscore}def\ {\isacharbrackleft}simp{\isacharbrackright}%
-\isamarkupsubsubsection{Conditional equations%
-}
+\isamarkupsubsubsection{Conditional equations}
 %
 \begin{isamarkuptext}%
 So far all examples of rewrite rules were equations. The simplifier also
@@ -224,8 +217,7 @@
 assumption of the subgoal.%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{Automatic case splits%
-}
+\isamarkupsubsubsection{Automatic case splits}
 %
 \begin{isamarkuptext}%
 \indexbold{case splits}\index{*split|(}
@@ -318,8 +310,7 @@
 \index{*split|)}%
 \end{isamarkuptxt}%
 %
-\isamarkupsubsubsection{Arithmetic%
-}
+\isamarkupsubsubsection{Arithmetic}
 %
 \begin{isamarkuptext}%
 \index{arithmetic}
@@ -339,8 +330,7 @@
 is not proved by simplification and requires \isa{arith}.%
 \end{isamarkuptext}%
 %
-\isamarkupsubsubsection{Tracing%
-}
+\isamarkupsubsubsection{Tracing}
 %
 \begin{isamarkuptext}%
 \indexbold{tracing the simplifier}