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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E52">Def14</font></span>   defines <a href="msafree4.html#K5" title="MSAFREE4:func.5">Equations</a> <a onclick="hs(this)" href="javascript:()">MSAFREE4:def 14 : <br/></a><span> 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#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="equation.html#NM1" title="EQUATION:NM.1">EqualSet</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msafree4.html#K5" title="MSAFREE4:func.5">Equations</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">A</font>) iff  for <font color="Olive" title="b4">s</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive">b<sub>3</sub></font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b4">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b5">e</font> where <font color="Olive" title="b5">e</font> is    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <span class="p1">(<span class="default"><a href="equation.html#K4" title="EQUATION:func.4">Equations</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b4">s</font> : <font color="Olive" title="b2">A</font> <a href="equation.html#R1" title="EQUATION:pred.1">|=</a> <font color="Olive" title="b5">e</font> </span> } </span>  );<br/></span></div>
