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<b>let </b><font color="Maroon">C</font> be   <a href="conlat_1.html#NM1">FormalContext</a>;<br/><b>let </b><font color="Maroon">CP</font> be   <a href="conlat_1.html#NM4">FormalConcept</a> of <font color="Maroon">C</font>;<br/>



<a NAME="E1:56"/><i><font color="Green">E29</font></i>: 
( <span class="p1">(<span class="default"><a href="conlat_1.html#K1" target="_self">ObjectDerivation</a> <font color="Maroon">C</font></span>)</span> <a href="funct_2.html#K3">.</a> the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> &amp; <span class="p1">(<span class="default"><a href="conlat_1.html#K2" target="_self">AttributeDerivation</a> <font color="Maroon">C</font></span>)</span> <a href="funct_2.html#K3">.</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> )
 
<b>by </b><i><a class="ref" href="conlat_1.html#D5" target="_self">Def5</a></i>;<br/>
<div><i><font color="Green">E32</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="56_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:56_1"/>
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/><a NAME="E2:56_1"/><b>then </b>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U2" target="_self">Attributes</a> of <font color="Maroon">C</font>
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E3:56_1"/>
<font color="Maroon">CP</font> is <a href="conlat_1.html#V11" target="_self">co-universal</a>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="56_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:56_2"/>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/><a NAME="E2:56_2"/><b>then </b>
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U1" target="_self">Objects</a> of <font color="Maroon">C</font>
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E3:56_2"/>
<font color="Maroon">CP</font> is <a href="conlat_1.html#V10" target="_self">universal</a>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:56"/>
( ( the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  implies <font color="Maroon">CP</font> is <a href="conlat_1.html#V11" target="_self">co-universal</a> ) &amp; ( the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  implies <font color="Maroon">CP</font> is <a href="conlat_1.html#V10" target="_self">universal</a> ) )
 <b>by </b><i><a class="txt" href="conlat_1.html#E2:56"><i><font color="Green">E32</font></i></a></i>;<br/>


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