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<b>let </b><font color="Maroon">T</font> be    <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">T2</font> be    <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">R</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#M1">SubRelStr</a> of <font color="Maroon">T</font>;<br/>



<b>assume </b><a NAME="E1:15"/><i><font color="Green">E26</font></i>: 
(  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T2</font> #) &amp;  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</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">R</font> #) )
 ;<br/>

<b>thus </b><a NAME="E2:15"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">R</font> is    <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">T2</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="15_1"><b>proof </b></a><div class="add">

<b>thus </b><a NAME="E1:15_1"/>
( 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">T2</font> &amp; the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">R</font> <a href="tarski.html#R1">c=</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T2</font> )
 <b>by </b><i>, <a class="ref" href="yellow_0.html#D13">YELLOW_0:def 13</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D13">YELLOW_0:def 13</a><br/>


</div><b>end;</b></div>

<b>assume </b><a NAME="E3:15"/>
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> <a href="hidden.html#R1">=</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T</font> <a href="toler_1.html#K1">|_2</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a><br/>

<b>hence </b><a NAME="E4:15"/>
<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">T2</font>
 <b>by </b><i>, , <a class="ref" href="yellow_0.html#D14">YELLOW_0:def 14</a></i>;<br/>


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