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<b>let </b><font color="Maroon">F1</font> be   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">R</font>, <font color="Maroon">F2</font> be   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">R</font>;<br/>

<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="hidden.html#M1">set</a> ] <b>means </b> ex <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> st <font color="Maroon">a<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="gcd_1.html#K2" target="_self">Class</a> <font color="Olive">a</font>;<br/>
<b>assume </b><a NAME="E1:35_1_2"/><i><font color="Green">E20</font></i>: 
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">R</font> holds <br/> ( <font color="Olive">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F1</font> iff <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">A</font>] )
 ;<br/>

<b>assume </b><a NAME="E2:35_1_2"/><i><font color="Green">E21</font></i>: 
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">R</font> holds <br/> ( <font color="Olive">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F2</font> iff <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">A</font>] )
 ;<br/>

<b>thus </b><a NAME="E3:35_1_2"/>
<font color="Maroon">F1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F2</font>
 <b>from </b><i><a class="ref" href="subset_1.html#S4">SUBSET_1:sch 4</a>(, );</i><br/>


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