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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: EXTENS_1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">B</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b4">F</font> being    <a href="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font>  st <font color="Olive" title="b2">A</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() holds <br/>( <font color="Olive" title="b4">F</font> is  <a href="msualg_3.html#V1" title="MSUALG_3:attr.1">"1-1"</a>  iff  for <font color="Olive" title="b5">C</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b6">G</font>, <font color="Olive" title="b7">H</font> being    <a href="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of <font color="Olive" title="b5">C</font>,<font color="Olive" title="b2">A</font>  st <font color="Olive" title="b4">F</font> <a href="pboole.html#K8" title="PBOOLE:func.8">**</a> <font color="Olive" title="b6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">F</font> <a href="pboole.html#K8" title="PBOOLE:func.8">**</a> <font color="Olive" title="b7">H</font> holds <br/><font color="Olive" title="b6">G</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b7">H</font> )</div></div>
