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<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: MSUALG_6:54</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">A</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="msualg_4.html#NM3" title="MSUALG_4:NM.3">ManySortedRelation</a> of <font color="Olive" title="b2">A</font> holds   <a href="msualg_6.html#K10" title="MSUALG_6:func.10">EqTh</a> <font color="Olive" title="b3">R</font> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  <a href="msualg_6.html#K9" title="MSUALG_6:func.9">EqCl</a> (<span class="p1">(<span class="default"><a href="msualg_6.html#K8" title="MSUALG_6:func.8">TRS</a> <font color="Olive" title="b3">R</font></span>)</span>,<font color="Olive" title="b2">A</font>)</div></div>
