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<b>set </b><font color="Maroon" title="c1">IT</font> =  <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a> ;<br/>
<b>consider </b><font color="Maroon" title="c2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a> ;<br/>
<a NAME="E2:29_1_1"/>
 <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a>  is <a href="bcialg_3.html#V6" title="BCIALG_3:attr.6">bounded</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:29_1_1_1"/><i><font color="Green" title="E14">A1</font></i>: 
for <font color="Olive" title="b1">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a>  holds  <font color="Olive" title="b1">x</font> <a href="bcialg_1.html#K1" title="BCIALG_1:func.1">\</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a> 
 
<b>by </b><i><a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c2">a</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="bcialg_3.html#D6" target="_self" title="BCIALG_3:def.6">BCIALG_3:def 6</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">a</font> is <a href="bcialg_3.html#V2" title="BCIALG_3:attr.2">being_greatest</a></span><br/>

<b>thus </b><a NAME="E2:29_1_1_1"/>
<font color="Maroon" title="c2">a</font> is <a href="bcialg_3.html#V2" title="BCIALG_3:attr.2">being_greatest</a>
 <b>by </b><i><a class="txt" href="bcialg_3.html#E1:29_1_1_1"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="bcialg_3.html#D2" target="_self" title="BCIALG_3:def.2">Def2</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:29_1_1"/>
 <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a>  is <a href="bcialg_3.html#V6" title="BCIALG_3:attr.6">bounded</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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