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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E69">Th42</font></span>: <a NAME="T85"><span class="comment"><font color="firebrick">:: MSAFREE5:85</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">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="b2">s</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">o</font> being   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b4">Z</font> being   <a href="msafree5.html#V5" title="MSAFREE5:attr.5">non-trivial</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="b1">S</font><br/>  for <font color="Olive" title="b5">z</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <font color="Olive" title="b4">Z</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b2">s</font><br/>  for <font color="Olive" title="b6">w</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of  <a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> (<font color="Olive" title="b3">o</font>,<span class="p1">(<span class="default"><a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b4">Z</font>)</span>)</span>)<br/>  for <font color="Olive" title="b7">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="b1">S</font>,<font color="Olive" title="b4">Z</font>)</span>)</span>  st <font color="Olive" title="b6">w</font> is <font color="Olive" title="b5">z</font> <a href="msafree5.html#V11" title="MSAFREE5:attr.11">-context_including</a>  &amp;  <a href="msafree5.html#K3" title="MSAFREE5:func.3">the_sort_of</a> <font color="Olive" title="b7">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K1" title="MSUALG_1:func.1">the_arity_of</a> <font color="Olive" title="b3">o</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">z</font> <a href="msafree5.html#K16" title="MSAFREE5:func.16">-context_pos_in</a> <font color="Olive" title="b6">w</font></span>)</span> holds <br/><font color="Olive" title="b6">w</font> <a href="funct_7.html#K1" title="FUNCT_7:func.1">+*</a> (<span class="p1">(<span class="default"><font color="Olive" title="b5">z</font> <a href="msafree5.html#K16" title="MSAFREE5:func.16">-context_pos_in</a> <font color="Olive" title="b6">w</font></span>)</span>,<font color="Olive" title="b7">t</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> (<font color="Olive" title="b3">o</font>,<span class="p1">(<span class="default"><a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b4">Z</font>)</span>)</span>)</div></div>
