<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: MSAFREE4:51</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">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="b4">t1</font>, <font color="Olive" title="b5">t2</font> being   <a href="msualg_6.html#NM1" title="MSUALG_6:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="equation.html#K3" title="EQUATION:func.3">TermAlg</a> <font color="Olive" title="b1">S</font></span>)</span>,<font color="Olive" title="b3">s</font>  st <font color="Olive" title="b2">A</font> <a href="equation.html#R1" title="EQUATION:pred.1">|=</a> <font color="Olive" title="b4">t1</font> <a href="equation.html#K5" title="EQUATION:func.5">'='</a> <font color="Olive" title="b5">t2</font> holds <br/><font color="Olive" title="b2">A</font> <a href="equation.html#R1" title="EQUATION:pred.1">|=</a> <font color="Olive" title="b5">t2</font> <a href="equation.html#K5" title="EQUATION:func.5">'='</a> <font color="Olive" title="b4">t1</font> ;<br/></div></div>
