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<b>let </b><font color="Maroon">p1</font> be    <a href="ami_1.html#M1" target="_self">FinPartState</a> of <font color="Maroon">S</font>, <font color="Maroon">p2</font> be    <a href="ami_1.html#M1" target="_self">FinPartState</a> of <font color="Maroon">S</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:107_1_2"/><i><font color="Green">E68</font></i>: 
for <font color="Olive">s'</font> being  <a href="ami_1.html#NM4">State</a> of <font color="Maroon">S</font>  st <font color="Maroon">s</font> <a href="tarski.html#R1">c=</a> <font color="Olive">s'</font> holds <br/><font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K12" target="_self">Result</a> <font color="Olive">s'</font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font></span>)</span>
 <b>and </b><br/><a NAME="E2:107_1_2"/><i><font color="Green">E82</font></i>: 
for <font color="Olive">s'</font> being  <a href="ami_1.html#NM4">State</a> of <font color="Maroon">S</font>  st <font color="Maroon">s</font> <a href="tarski.html#R1">c=</a> <font color="Olive">s'</font> holds <br/><font color="Maroon">p2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K12" target="_self">Result</a> <font color="Olive">s'</font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font></span>)</span>
 ;<br/>

<a NAME="E3:107_1_2"/>
 <a href="ami_1.html#K7" target="_self">sproduct</a> the <a href="ami_1.html#U5" target="_self">Object-Kind</a> of <font color="Maroon">S</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
;<br/>
<b>then consider </b><font color="Maroon">h</font> being   <a href="funct_1.html#NM1">Function</a><b> such that </b><br/><a NAME="E5:107_1_2"/><i><font color="Green">E92</font></i>: 
<font color="Maroon">h</font> <a href="hidden.html#R2">in</a>  <a href="card_3.html#K4">product</a> the <a href="ami_1.html#U5" target="_self">Object-Kind</a> of <font color="Maroon">S</font>
 <b>and </b><br/><a NAME="E6:107_1_2"/><i><font color="Green">E93</font></i>: 
<font color="Maroon">s</font> <a href="funct_4.html#NR1" target="_self">&lt;=</a> <font color="Maroon">h</font>
 <b>by </b><i><a class="ref" href="ami_1.html#D3" target="_self">Def3</a></i>;<br/>
<b>reconsider </b><font color="Maroon">h</font> = <font color="Maroon">h</font> as   <a href="ami_1.html#NM4">State</a> of <font color="Maroon">S</font> <b>by </b><i><a class="ref" href="ami_1.html#T14" target="_self">Th14</a></i>;<br/>
<b>thus </b><font color="Maroon">p1</font> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K12" target="_self">Result</a> <font color="Maroon">h</font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">s</font></span>)</span>
<b>by </b><i>, <a class="ref" href="ami_1.html#T15" target="_self">Th15</a></i>
<br/>.= 
<font color="Maroon">p2</font>
<b>by </b><i>, <a class="ref" href="ami_1.html#T15" target="_self">Th15</a></i>
;<br/>


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