<?xml version="1.0"?>
<div class="add">

<a NAME="E1:49_1_1"/>
 <a href="relat_1.html#K3" title="RELAT_1:func.3">field</a> <font color="Maroon" title="c3">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">X</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="orders_1.html#T100" title="ORDERS_1:th.100">ORDERS_1:100</a></span>;<br/>
<a NAME="E2:49_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c3">R</font> <a href="orders_1.html#R3" title="ORDERS_1:pred.3">linearly_orders</a> <font color="Maroon" title="c2">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="orders_1.html#T133" title="ORDERS_1:th.133">ORDERS_1:133</a>, <a class="ref" href="orders_1.html#T134" title="ORDERS_1:th.134">ORDERS_1:134</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:49_1_1"/>
( not  <a href="pre_poly.html#K7" title="PRE_POLY:func.7">SgmX</a> <font color="Maroon" title="c3">R</font>,<font color="Maroon" title="c2">A</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="pre_poly.html#K7" title="PRE_POLY:func.7">SgmX</a> <font color="Maroon" title="c3">R</font>,<font color="Maroon" title="c2">A</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#T60" title="RELAT_1:th.60">RELAT_1:60</a>, <a class="ref" href="pre_poly.html#T10" target="_self" title="PRE_POLY:th.10">Th8T</a>, <a class="ref" href="pre_poly.html#D2" target="_self" title="PRE_POLY:def.2">Def2T</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
