--- a/doc-src/TutorialI/Recdef/Nested1.thy Thu Aug 09 10:17:45 2001 +0200
+++ b/doc-src/TutorialI/Recdef/Nested1.thy Thu Aug 09 18:12:15 2001 +0200
@@ -25,15 +25,15 @@
where @{term set} returns the set of elements of a list
and @{text"term_list_size :: term list \<Rightarrow> nat"} is an auxiliary
function automatically defined by Isabelle
-(while processing the declaration of @{text term}). First we have to understand why the
-recursive call of @{term trev} underneath @{term map} leads to the above
-condition. The reason is that \isacommand{recdef} ``knows'' that @{term map}
+(while processing the declaration of @{text term}). Why does the
+recursive call of @{term trev} lead to this
+condition? Because \isacommand{recdef} knows that @{term map}
will apply @{term trev} only to elements of @{term ts}. Thus the
condition expresses that the size of the argument @{prop"t : set ts"} of any
recursive call of @{term trev} is strictly less than @{term"size(App f ts)"},
which equals @{term"Suc(term_list_size ts)"}. We will now prove the termination condition and
continue with our definition. Below we return to the question of how
-\isacommand{recdef} ``knows'' about @{term map}.
+\isacommand{recdef} knows about @{term map}.
*};
(*<*)