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<b>let </b><font color="Maroon" title="c1">S</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> ;<br/>

<b>assume </b><a NAME="E1:14_1_1"/><i><font color="Green" title="E6">A1</font></i>: 
<font color="Maroon" title="c1">S</font> is <a href="msualg_1.html#V2" title="MSUALG_1:attr.2">void</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c2">S'</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> non <a href="msualg_1.html#V2" title="MSUALG_1:attr.2">void</a>  <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="msafree2.html#D6" target="_self" title="MSAFREE2:def.6">MSAFREE2:def 6</a><br/>

<b>thus </b><a NAME="E2:14_1_1"/>
( <font color="Maroon" title="c2">S'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">S</font> implies for <font color="Olive" title="b1">o1</font>, <font color="Olive" title="b2">o2</font> being  <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c2">S'</font>  st  <a href="msualg_1.html#K2" title="MSUALG_1:func.2">the_result_sort_of</a> <font color="Olive" title="b1">o1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_1.html#K2" title="MSUALG_1:func.2">the_result_sort_of</a> <font color="Olive" title="b2">o2</font> holds <br/><font color="Olive" title="b1">o1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">o2</font> )
 <b>by </b><i><a class="txt" href="msafree2.html#E1:14_1_1"><i><font color="Green" title="E6">A1</font></i></a></i>;<br/>


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