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<b>let </b><font color="Maroon">L</font> be    <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">S</font> be  <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">R</font> be    <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">S</font>;<br/>





<b>reconsider </b><font color="Maroon">R'</font> = <font color="Maroon">R</font> as    <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">L</font> <b>by </b><i><a class="ref" href="yellow_6.html#T16">YELLOW_6:16</a></i>;<br/>
<a NAME="E2:30"/><i><font color="Green">E29</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 
<b>by </b><i><a class="ref" href="yellow_0.html#D13">YELLOW_0:def 13</a></i>;<br/>
<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:30_1"/>
<font color="Maroon">R</font> is <a href="yellow_0.html#V4">full</a>
 ;<br/><b>then </b>the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">R</font> = 
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
<b>by </b><i><a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font></span>)</span> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
<b>by </b><i><a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a></i>
<br/>.= 
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R'</font>
<b>by </b><i>, <a class="ref" href="wellord1.html#T29">WELLORD1:29</a></i>
;<br/><b>hence </b><a NAME="E3:30_1"/>
<font color="Maroon">R</font> is  <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">L</font>
 <b>by </b><i><a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E4:30"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">R</font> is  <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">L</font>
 ;<br/>

<span class="p1">(<span class="default">the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font></span>)</span> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> = 
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
<b>by </b><i>, <a class="ref" href="wellord1.html#T29">WELLORD1:29</a></i>
<br/>.= 
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">R</font>
<b>by </b><i>, <a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a></i>
;<br/>
<b>hence </b><a NAME="E6:30"/>
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> <a href="wellord1.html#K2">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
 <b>by </b><i><a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a><br/>


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