<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">Th32</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: WAYBEL_5:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">J</font>, <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">K</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">J</font><br/>  for <font color="Olive" title="b5">F</font> being   <a href="waybel_5.html#NM1" title="WAYBEL_5:NM.1">DoubleIndexedSet</a> of <font color="Olive" title="b4">K</font>,<font color="Olive" title="b2">A</font><br/>  for <font color="Olive" title="b6">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font> holds   <a href="funct_6.html#K1" title="FUNCT_6:func.1">doms</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">J</font> <a href="waybel_5.html#K7" title="WAYBEL_5:func.7">=&gt;</a> <font color="Olive" title="b6">f</font></span>)</span> <a href="msualg_3.html#K3" title="MSUALG_3:func.3">**</a> <font color="Olive" title="b5">F</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_6.html#K1" title="FUNCT_6:func.1">doms</a> <font color="Olive" title="b5">F</font></div></div>
