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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: MSUALG_9:23</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">M</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">B</font>, <font color="Olive" title="b5">C</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="b6">F</font> being    <a href="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of <font color="Olive" title="b2">A</font>,<span class="p1"><a href="pboole.html#K6" title="PBOOLE:func.6">[|</a><span class="default"><font color="Olive" title="b4">B</font>,<font color="Olive" title="b5">C</font></span><a href="pboole.html#K6" title="PBOOLE:func.6">|]</a></span>  st <font color="Olive" title="b3">M</font> <a href="pboole.html#R1" title="PBOOLE:pred.1">in</a>  <a href="funct_6.html#K1" title="FUNCT_6:func.1">doms</a> <font color="Olive" title="b6">F</font> holds <br/> for <font color="Olive" title="b7">i</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b7">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">I</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b6">F</font> <a href="pralg_1.html#K18" title="PRALG_1:func.18">..</a> <font color="Olive" title="b3">M</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="msualg_9.html#K1" title="MSUALG_9:func.1">Mpr1</a> <font color="Olive" title="b6">F</font></span>)</span> <a href="pralg_1.html#K18" title="PRALG_1:func.18">..</a> <font color="Olive" title="b3">M</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">i</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="msualg_9.html#K2" title="MSUALG_9:func.2">Mpr2</a> <font color="Olive" title="b6">F</font></span>)</span> <a href="pralg_1.html#K18" title="PRALG_1:func.18">..</a> <font color="Olive" title="b3">M</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">i</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></div></div>
