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<b>consider </b><font color="Maroon" title="c2">A</font> being  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> , <font color="Maroon" title="c3">T</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c1">X</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c4">I</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">A</font>;<br/>
<b>take </b><font color="Maroon" title="c5">S</font> =  <a href="fsm_1.html#G1" title="FSM_1:aggr.1">FSM</a>(# <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">I</font> #); <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( not <font color="Maroon" title="c5">S</font> is <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> &amp; <font color="Maroon" title="c5">S</font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> )</span><br/>

<b>thus </b><a NAME="E2:13_1_1"/>
not <font color="Maroon" title="c5">S</font> is <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>
 <b>by </b><i><a class="ref" href="struct_0.html#D1" title="STRUCT_0:def.1">STRUCT_0:def 1</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">S</font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a></span><br/>

<b>thus </b><a NAME="E3:13_1_1"/>
<font color="Maroon" title="c5">S</font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>
 <b>by </b><i><a class="ref" href="struct_0.html#D11" title="STRUCT_0:def.11">STRUCT_0:def 11</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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