aboutsummaryrefslogtreecommitdiffhomepage
path: root/doc
diff options
context:
space:
mode:
authorGravatar Johannes Kloos <jkloos@mpi-sws.org>2017-10-25 22:57:06 +0200
committerGravatar Johannes Kloos <jkloos@mpi-sws.org>2017-10-25 22:57:06 +0200
commit258c6a766d6f5d623925211694e7cede001f872e (patch)
treeb973099fb42803f9544a86540d2f9de9747e7740 /doc
parent5a7ca0b267e8531137d302b9c54b41bed097085f (diff)
Rename \Tree to \NatTree
Diffstat (limited to 'doc')
-rw-r--r--doc/refman/RefMan-cic.tex28
1 files changed, 14 insertions, 14 deletions
diff --git a/doc/refman/RefMan-cic.tex b/doc/refman/RefMan-cic.tex
index 542fdf51e..2695c5eee 100644
--- a/doc/refman/RefMan-cic.tex
+++ b/doc/refman/RefMan-cic.tex
@@ -883,8 +883,8 @@ the type $V$ satisfies the nested positivity condition for $X$
\settowidth\framecharacterwidth{\hh}
\newcommand\ws{\hbox{}\hskip\the\framecharacterwidth}
\newcommand\ruleref[1]{\hskip.25em\dots\hskip.2em{\em (bullet #1)}}
-\newcommand{\Tree}{\mbox{\textsf{nattree}}}
-\newcommand{\TreeA}{\mbox{\textsf{nattree}}~\ensuremath{A}}
+\newcommand{\NatTree}{\mbox{\textsf{nattree}}}
+\newcommand{\NatTreeA}{\mbox{\textsf{nattree}}~\ensuremath{A}}
\newcommand{\cnode}{\mbox{\textsf{node}}}
\newcommand{\cleaf}{\mbox{\textsf{leaf}}}
@@ -897,25 +897,25 @@ Inductive nattree (A:Type) : Type :=
\end{verbatim}
\begin{latexonly}
-\noindent Then every instantiated constructor of $\TreeA$ satisfies the nested positivity condition for $\Tree$\\
+\noindent Then every instantiated constructor of $\NatTreeA$ satisfies the nested positivity condition for $\NatTree$\\
\noindent
\ws\ws\vv\\
-\ws\ws\vh\hh\ws concerning type $\TreeA$ of constructor $\cleaf$:\\
-\ws\ws\vv\ws\ws\ws\ws Type $\TreeA$ of constructor $\cleaf$ satisfies the positivity condition for $\Tree$\\
-\ws\ws\vv\ws\ws\ws\ws because $\Tree$ does not appear in any (real) arguments of the type of that constructor\\
-\ws\ws\vv\ws\ws\ws\ws (primarily because $\Tree$ does not have any (real) arguments)\ruleref1\\
+\ws\ws\vh\hh\ws concerning type $\NatTreeA$ of constructor $\cleaf$:\\
+\ws\ws\vv\ws\ws\ws\ws Type $\NatTreeA$ of constructor $\cleaf$ satisfies the positivity condition for $\NatTree$\\
+\ws\ws\vv\ws\ws\ws\ws because $\NatTree$ does not appear in any (real) arguments of the type of that constructor\\
+\ws\ws\vv\ws\ws\ws\ws (primarily because $\NatTree$ does not have any (real) arguments)\ruleref1\\
\ws\ws\vv\\
-\ws\ws\hv\hh\ws concerning type $\forall~A\ra(\NN\ra\TreeA)\ra\TreeA$ of constructor $\cnode$:\\
- \ws\ws\ws\ws\ws\ws\ws Type $\forall~A:\Type,A\ra(\NN\ra\TreeA)\ra\TreeA$ of constructor $\cnode$\\
-\ws\ws\ws\ws\ws\ws\ws satisfies the positivity condition for $\Tree$ because:\\
+\ws\ws\hv\hh\ws concerning type $\forall~A\ra(\NN\ra\NatTreeA)\ra\NatTreeA$ of constructor $\cnode$:\\
+ \ws\ws\ws\ws\ws\ws\ws Type $\forall~A:\Type,A\ra(\NN\ra\NatTreeA)\ra\NatTreeA$ of constructor $\cnode$\\
+\ws\ws\ws\ws\ws\ws\ws satisfies the positivity condition for $\NatTree$ because:\\
\ws\ws\ws\ws\ws\ws\ws\vv\\
-\ws\ws\ws\ws\ws\ws\ws\vh\hh\ws $\Tree$ occurs only strictly positively in $\Type$\ruleref1\\
+\ws\ws\ws\ws\ws\ws\ws\vh\hh\ws $\NatTree$ occurs only strictly positively in $\Type$\ruleref1\\
\ws\ws\ws\ws\ws\ws\ws\vv\\
-\ws\ws\ws\ws\ws\ws\ws\vh\hh\ws $\Tree$ occurs only strictly positively in $A$\ruleref1\\
+\ws\ws\ws\ws\ws\ws\ws\vh\hh\ws $\NatTree$ occurs only strictly positively in $A$\ruleref1\\
\ws\ws\ws\ws\ws\ws\ws\vv\\
- \ws\ws\ws\ws\ws\ws\ws\vh\hh\ws $\Tree$ occurs only strictly positively in $\NN\ra\TreeA$\ruleref{3+2}\\
+ \ws\ws\ws\ws\ws\ws\ws\vh\hh\ws $\NatTree$ occurs only strictly positively in $\NN\ra\NatTreeA$\ruleref{3+2}\\
\ws\ws\ws\ws\ws\ws\ws\vv\\
-\ws\ws\ws\ws\ws\ws\ws\hv\hh\ws $\Tree$ satisfies the positivity condition for $\TreeA$\ruleref1
+\ws\ws\ws\ws\ws\ws\ws\hv\hh\ws $\NatTree$ satisfies the positivity condition for $\NatTreeA$\ruleref1
\end{latexonly}
\begin{rawhtml}
<pre>