<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th29</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: LOPBAN_1:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font> holds   <a href="lopban_1.html#K13" title="LOPBAN_1:func.13">modetrans</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b3">f</font></div></div>
