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<b>let </b><font color="Maroon">N</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">S</font> be    <a href="ami_1.html#L1">AMI-Struct</a> of <font color="Maroon">N</font>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">p</font> be    <a href="ami_1.html#M1">FinPartState</a> of <font color="Maroon">S</font>;<br/>







<a NAME="E1:41"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">p</font> <a href="hidden.html#R2">in</a>  <a href="ami_1.html#K7">sproduct</a> the <a href="ami_1.html#U5">Object-Kind</a> of <font color="Maroon">S</font> &amp; <font color="Maroon">p</font> is <a href="finset_1.html#V1">finite</a> )
 
<b>by </b><i><a class="ref" href="ami_1.html#D24">AMI_1:def 24</a></i>;<br/>
<b>assume </b><a NAME="E2:41"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">x</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">p</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">f</font> = <font color="Maroon">x</font> as   <a href="funct_1.html#NM1">Function</a> <b>by </b><i><a class="ref" href="grfunc_1.html#T6">GRFUNC_1:6</a></i>;<br/>
<a NAME="E4:41"/>
( <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="ami_1.html#K7">sproduct</a> the <a href="ami_1.html#U5">Object-Kind</a> of <font color="Maroon">S</font> &amp; <font color="Maroon">f</font> is <a href="finset_1.html#V1">finite</a> )
 
<b>by </b><i><a class="ref" href="ami_5.html#T18" target="_self">Th18</a>, , <a class="ref" href="ami_1.html#T40">AMI_1:40</a>, <a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>
<b>hence </b><a NAME="E5:41"/>
<font color="Maroon">x</font> is    <a href="ami_1.html#M1">FinPartState</a> of <font color="Maroon">S</font>
 <b>by </b><i><a class="ref" href="ami_1.html#D24">AMI_1:def 24</a></i>;<br/>


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