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

<b>thus </b><a NAME="E1:40"/>
( <font color="Maroon" title="c1">L</font> is <a href="yellow_0.html#V3" title="YELLOW_0:attr.3">bounded</a> implies <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="yellow_0.html#V3" title="YELLOW_0:attr.3">bounded</a> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:40_1"/>
( <font color="Maroon" title="c1">L</font> is <a href="yellow_0.html#V1" title="YELLOW_0:attr.1">lower-bounded</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="yellow_0.html#V2" title="YELLOW_0:attr.2">upper-bounded</a> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D6" title="YELLOW_0:def.6">YELLOW_0:def 6</a><br/>

<b>hence </b><a NAME="E2:40_1"/>
( <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="yellow_0.html#V1" title="YELLOW_0:attr.1">lower-bounded</a> &amp; <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="yellow_0.html#V2" title="YELLOW_0:attr.2">upper-bounded</a> )
 <b>by </b><i><a class="ref" href="yellow_7.html#T30" target="_self" title="YELLOW_7:th.30">Th30</a>, <a class="ref" href="yellow_7.html#T31" target="_self" title="YELLOW_7:th.31">Th31</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D6" title="YELLOW_0:def.6">YELLOW_0:def 6</a><br/>


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

<b>assume </b><a NAME="E2:40"/>
( <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="yellow_0.html#V1" title="YELLOW_0:attr.1">lower-bounded</a> &amp; <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="yellow_0.html#V2" title="YELLOW_0:attr.2">upper-bounded</a> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D6" title="YELLOW_0:def.6">YELLOW_0:def 6</a><br/>

<b>hence </b><a NAME="E3:40"/>
( <font color="Maroon" title="c1">L</font> is <a href="yellow_0.html#V1" title="YELLOW_0:attr.1">lower-bounded</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="yellow_0.html#V2" title="YELLOW_0:attr.2">upper-bounded</a> )
 <b>by </b><i><a class="ref" href="yellow_7.html#T30" target="_self" title="YELLOW_7:th.30">Th30</a>, <a class="ref" href="yellow_7.html#T31" target="_self" title="YELLOW_7:th.31">Th31</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D6" title="YELLOW_0:def.6">YELLOW_0:def 6</a><br/>


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