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

<b>let </b><font color="Maroon" title="c1">R</font> be    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:3_1_1"/><i><font color="Green" title="E3">A1</font></i>: 
<font color="Maroon" title="c1">R</font> is <a href="lfuzzy_0.html#V1" title="LFUZZY_0:attr.1">real</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="lfuzzy_0.html#D2" target="_self" title="LFUZZY_0:def.2">LFUZZY_0:def 2</a><br/>

<b>given </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> being  <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> <b> such that </b><a NAME="E2:3_1_1"/><i><font color="Green" title="E4">A2</font></i>: 
( <font color="Maroon" title="c2">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">b</font> &amp; the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> )
 ;<br/>

<b>thus </b><a NAME="E3:3_1_1"/>
<font color="Maroon" title="c1">R</font> is <a href="lfuzzy_0.html#V1" title="LFUZZY_0:attr.1">real</a>
 <b>by </b><i><a class="txt" href="lfuzzy_0.html#E1:3_1_1"><i><font color="Green" title="E3">A1</font></i></a></i>;<br/>

<b>thus </b><a NAME="E4:3_1_1"/>
not the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 <b>by </b><i><a class="txt" href="lfuzzy_0.html#E2:3_1_1"><i><font color="Green" title="E4">A2</font></i></a>, <a class="ref" href="rcomp_1.html#T15" title="RCOMP_1:th.15">RCOMP_1:15</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="struct_0.html#D1" title="STRUCT_0:def.1">STRUCT_0:def 1</a><br/>


</div>
