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<b>let </b><font color="Maroon">T1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">T2</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">S1</font> be  non <a href="struct_0.html#V3">empty</a> <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">T1</font>;<br/><b>let </b><font color="Maroon">S2</font> be  non <a href="struct_0.html#V3">empty</a> <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">T2</font>;<br/>





<b>assume </b><a NAME="E1:26"/><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">T1</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T1</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> #)
 ;<br/>

<a NAME="E2:26"/>
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S2</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">S2</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S2</font> #)
 
;<br/>
<b>then reconsider </b><font color="Maroon">R</font> = <font color="Maroon">S2</font> as  <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">T1</font> <b>by </b><i>, </i>;<br/>
<b>assume </b><a NAME="E4:26"/><i><font color="Green">E30</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font>
 ;<br/>

<a NAME="E5:26"/><b>then </b><i><font color="Green">E31</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S1</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> #)
 
<b>by </b><i><a class="ref" href="yellow_0.html#T58">YELLOW_0:58</a></i>;<br/>
<b>assume </b><a NAME="E6:26"/><i><font color="Green">E38</font></i>: 
for <font color="Olive">X</font> being <a href="waybel_0.html#V1">directed</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">S1</font>  st <font color="Olive">X</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp;  <a href="yellow_0.html#R1">ex_sup_of</a> <font color="Olive">X</font>,<font color="Maroon">T1</font> holds <br/> <a href="yellow_0.html#K1">"\/"</a> <font color="Olive">X</font>,<font color="Maroon">T1</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D4">WAYBEL_0:def 4</a><br/>

<b>let </b><font color="Maroon">X</font> be  <a href="waybel_0.html#V1">directed</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">S2</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D4">WAYBEL_0:def 4</a><br/>

<b>assume </b><a NAME="E7:26"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">X</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>reconsider </b><font color="Maroon">Y</font> = <font color="Maroon">X</font> as  <a href="waybel_0.html#V1">directed</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">S1</font> <b>by </b><i>, <a class="ref" href="waybel_0.html#T3">WAYBEL_0:3</a></i>;<br/>
<b>assume </b><a NAME="E9:26"/><i><font color="Green">E42</font></i>: 
 <a href="yellow_0.html#R1">ex_sup_of</a> <font color="Maroon">X</font>,<font color="Maroon">T2</font>
 ;<br/>

<a NAME="E10:26"/><b>then </b>
 <a href="yellow_0.html#R1">ex_sup_of</a> <font color="Maroon">Y</font>,<font color="Maroon">T1</font>
 
<b>by </b><i>, <a class="ref" href="yellow_0.html#T14">YELLOW_0:14</a></i>;<br/>
<a NAME="E11:26"/><b>then </b>
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">Y</font>,<font color="Maroon">T1</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E12:26"/>
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">T2</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font>
 <b>by </b><i>, , , <a class="ref" href="yellow_0.html#T26">YELLOW_0:26</a></i>;<br/>


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