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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: EXTENS_1:9</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>, <font color="Olive" title="b3">B</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="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> holds <br/> ( <font color="Olive" title="b4">F</font> is  <a href="msualg_3.html#V2" title="MSUALG_3:attr.2">"onto"</a>  iff  <a href="funct_6.html#K2" title="FUNCT_6:func.2">rngs</a> <font color="Olive" title="b4">F</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b3">B</font> )</div></div>
