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<b>let </b><font color="Maroon" title="c1">A</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">C</font> be   <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a>;<br/>



<b>assume </b><a NAME="E1:3"/><i><font color="Green" title="E2">A1</font></i>: 
<font color="Maroon" title="c2">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msinst_1.html#K1" title="MSINST_1:func.1">MSSCat</a> <font color="Maroon" title="c1">A</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">o</font> be   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c2">C</font>;<br/>

<b>reconsider </b><font color="Maroon" title="c4">o</font> = <font color="Maroon" title="c3">o</font> as    <a href="msalimit.html#M3" title="MSALIMIT:mode.3">Element</a> of  <a href="msalimit.html#K5" title="MSALIMIT:func.5">MSS_set</a> <font color="Maroon" title="c1">A</font> <b>by </b><i><a class="txt" href="msinst_1.html#E1:3"><i><font color="Green" title="E2">A1</font></i></a>, <a class="ref" href="msinst_1.html#D1" target="_self" title="MSINST_1:def.1">Def1</a></i>;<br/>
<a NAME="E3:3"/>
<font color="Maroon" title="c4">o</font> is  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">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> 
 
;<br/>
<b>hence </b><a NAME="E4:3"/>
<font color="Maroon" title="c3">o</font> is  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">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> 
 ;<br/>


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