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<span class="kw">set </span><font color="Maroon" title="c1">IT</font> =  <a href="bcialg_1.html#K3" title="BCIALG_1:func.3">BCI-EXAMPLE</a> ;<br/>
<span class="kw">consider </span><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"><span class="kw">proof </span></a><div class="add">

<span class="kw">take </span>
<font color="Maroon" title="c2">a</font>
; <span class="comment"><font color="Red">:: according to </font></span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></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/>

<a NAME="E1:29_1_1_1"/>
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> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></span>;<br/>
<span class="kw">hence </span><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> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bcialg_3.html#D2" target="_self" title="BCIALG_3:def.2">Def2</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><span class="kw">end;</span></div>
<span class="kw">hence </span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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