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<a NAME="E1:74"/><span class="lab"><font color="Green" title="E52">A1</font></span>: 
for <font color="Olive" title="b1">x</font> being   <a href="xxreal_2.html#M2" title="XXREAL_2:mode.2">LowerBound</a> of  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds  <font color="Olive" title="b1">x</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xxreal_0.html#T3" title="XXREAL_0:th.3">XXREAL_0:3</a></span>;<br/>
<a NAME="E2:74"/>
 <a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a>  is    <a href="xxreal_2.html#M2" title="XXREAL_2:mode.2">LowerBound</a> of  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xxreal_2.html#T36" target="_self" title="XXREAL_2:th.36">Th36</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:74"/>
 <a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:74"><span class="lab"><font color="Green" title="E52">A1</font></span></a>, <a class="ref" href="xxreal_2.html#D4" target="_self" title="XXREAL_2:def.4">Def4</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/>


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