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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E100">Th70</font></span>: <a NAME="T121"><span class="comment"><font color="firebrick">:: MSAFREE5:121</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b2">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b3">s</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V5</a>() <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b5">x</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <font color="Olive" title="b4">X</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b3">s</font><br/>  for <font color="Olive" title="b6">t</font> being   <a href="msafree3.html#NM1" title="MSAFREE3:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b2">S</font>,<font color="Olive" title="b4">X</font>)</span>)</span><br/>  for <font color="Olive" title="b7">C</font> being   <a href="msafree5.html#NM3" title="MSAFREE5:NM.3">context</a> of <font color="Olive" title="b5">x</font>  st <font color="Olive" title="b4">X</font> is  <a href="msafree5.html#V5" title="MSAFREE5:attr.5">non-trivial</a>  &amp;  <a href="msafree5.html#K3" title="MSAFREE5:func.3">the_sort_of</a> <font color="Olive" title="b6">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> holds <br/> <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K10" title="RELAT_1:func.10">Coim</a> (<font color="Olive" title="b6">t</font>,<font color="Olive" title="b1">a</font>)</span>)</span> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="relat_1.html#K10" title="RELAT_1:func.10">Coim</a> (<span class="p2">(<span class="default"><font color="Olive" title="b7">C</font> <a href="msafree5.html#K18" title="MSAFREE5:func.18">-sub</a> <font color="Olive" title="b6">t</font></span>)</span>,<font color="Olive" title="b1">a</font>)</span>)</span></div></div>
