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<div><span class="kw">theorem </span><a NAME="T38"><span class="comment"><font color="firebrick">:: EQUATION:38</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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">E</font> being   <a href="equation.html#NM1" title="EQUATION:NM.1">EqualSet</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">F</font> being    <a href="pralg_2.html#M1" title="PRALG_2:mode.1">MSAlgebra-Family</a> of <font color="Olive" title="b1">I</font>,<font color="Olive" title="b2">S</font>  st (  for <font color="Olive" title="b5">i</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b5">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">I</font> holds <br/> ex <font color="Olive" title="b6">A</font> being    <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b2">S</font> st <br/>( <font color="Olive" title="b6">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b6">A</font> <a href="equation.html#R2" title="EQUATION:pred.2">|=</a> <font color="Olive" title="b3">E</font> ) ) holds <br/> <a href="pralg_2.html#K14" title="PRALG_2:func.14">product</a> <font color="Olive" title="b4">F</font> <a href="equation.html#R2" title="EQUATION:pred.2">|=</a> <font color="Olive" title="b3">E</font></div></div>
