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<b>let </b><font color="Maroon">P1</font> be    <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">P2</font> be    <a href="orders_2.html#L1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:7"/><i><font color="Green">E24</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">P1</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">P1</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">P2</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">P2</font> #)
 ;<br/>

<b>let </b><font color="Maroon">a1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">P1</font>, <font color="Maroon">b1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">P1</font>;<br/><b>let </b><font color="Maroon">a2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">P2</font>, <font color="Maroon">b2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">P2</font>;<br/>



<a NAME="E2:7"/>
( ( <font color="Maroon">a1</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">b1</font> implies <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">a1</font>,<font color="Maroon">b1</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">P1</font> ) &amp; ( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">a1</font>,<font color="Maroon">b1</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">P1</font> implies <font color="Maroon">a1</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">b1</font> ) &amp; ( <font color="Maroon">a2</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">b2</font> implies <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">a2</font>,<font color="Maroon">b2</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">P2</font> ) &amp; ( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">a2</font>,<font color="Maroon">b2</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">P2</font> implies <font color="Maroon">a2</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">b2</font> ) )
 
<b>by </b><i><a class="ref" href="orders_2.html#D9">ORDERS_2:def 9</a></i>;<br/>
<b>hence </b><a NAME="E3:7"/>
( <font color="Maroon">a1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a2</font> &amp; <font color="Maroon">b1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b2</font> implies ( ( <font color="Maroon">a1</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">b1</font> implies <font color="Maroon">a2</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">b2</font> ) &amp; ( <font color="Maroon">a1</font> <a href="orders_2.html#R2">&lt;</a> <font color="Maroon">b1</font> implies <font color="Maroon">a2</font> <a href="orders_2.html#R2">&lt;</a> <font color="Maroon">b2</font> ) ) )
 <b>by </b><i>, <a class="ref" href="orders_2.html#D10">ORDERS_2:def 10</a></i>;<br/>


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