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<b>let </b><font color="Maroon" title="c1">IL</font>, <font color="Maroon" title="c2">N</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c3">S</font> be    <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">IL</font>,<font color="Maroon" title="c2">N</font>;<br/><b>let </b><font color="Maroon" title="c4">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c5">p</font> be   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <font color="Maroon" title="c3">S</font>;<br/>







<b>assume </b><a NAME="E1:147"/><i><font color="Green" title="E63">A1</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">p</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c6">f</font> = <font color="Maroon" title="c4">x</font> as   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> <b>by </b><i><a class="ref" href="grfunc_1.html#T6" title="GRFUNC_1:th.6">GRFUNC_1:6</a></i>;<br/>
<a NAME="E3:147"/>
( <font color="Maroon" title="c6">f</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="card_3.html#K8" title="CARD_3:func.8">sproduct</a> the <a href="ami_1.html#U3" title="AMI_1:sel.3">Object-Kind</a> of <font color="Maroon" title="c3">S</font> &amp; <font color="Maroon" title="c6">f</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> )
 
<b>by </b><i><a class="txt" href="ami_1.html#E1:147"><i><font color="Green" title="E63">A1</font></i></a>, <a class="ref" href="card_3.html#T80" title="CARD_3:th.80">CARD_3:80</a>, <a class="ref" href="finset_1.html#T13" title="FINSET_1:th.13">FINSET_1:13</a></i>;<br/>
<b>hence </b><a NAME="E4:147"/>
<font color="Maroon" title="c4">x</font> is   <a href="ami_1.html#NM7" title="AMI_1:NM.7">FinPartState</a> of <font color="Maroon" title="c3">S</font>
 ;<br/>


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