<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="conlat_1.html#NM1">FormalContext</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="conlat_1.html#V6" target="_self">strict</a> <a href="conlat_1.html#NM4">FormalConcept</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<a NAME="E1:57"/><i><font color="Green">E32</font></i>: 
( <span class="p1">(<span class="default"><a href="conlat_1.html#K1" target="_self">ObjectDerivation</a> <font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font> &amp; <span class="p1">(<span class="default"><a href="conlat_1.html#K2" target="_self">AttributeDerivation</a> <font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="ref" href="conlat_1.html#D13" target="_self">Def13</a></i>;<br/>
<div><i><font color="Green">E33</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="57_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:57_1"/><i><font color="Green">E34</font></i>: 
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/><a NAME="E2:57_1"/><b>then </b>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U2" target="_self">Attributes</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:57"><i><font color="Green">E32</font></i></a>, <a class="ref" href="conlat_1.html#T18" target="_self">Th18</a></i>;<br/><a NAME="E3:57_1"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> is <a href="conlat_1.html#V11" target="_self">co-universal</a>
 <b>by </b><i><a class="ref" href="conlat_1.html#D15" target="_self">Def15</a></i>;<br/><b>hence </b><a NAME="E4:57_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="conlat_1.html#K6" target="_self">Concept-with-all-Attributes</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:57"><i><font color="Green">E32</font></i></a>, <a class="txt" href="conlat_1.html#E1:57_1"><i><font color="Green">E34</font></i></a>, <a class="ref" href="conlat_1.html#D17" target="_self">Def17</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="57_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:57_2"/><i><font color="Green">E34</font></i>: 
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/><a NAME="E2:57_2"/><b>then </b>
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="conlat_1.html#U1" target="_self">Objects</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:57"><i><font color="Green">E32</font></i></a>, <a class="ref" href="conlat_1.html#T19" target="_self">Th19</a></i>;<br/><a NAME="E3:57_2"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> is <a href="conlat_1.html#V10" target="_self">universal</a>
 <b>by </b><i><a class="ref" href="conlat_1.html#D14" target="_self">Def14</a></i>;<br/><b>hence </b><a NAME="E4:57_2"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="conlat_1.html#K5" target="_self">Concept-with-all-Objects</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:57"><i><font color="Green">E32</font></i></a>, <a class="txt" href="conlat_1.html#E1:57_2"><i><font color="Green">E34</font></i></a>, <a class="ref" href="conlat_1.html#D16" target="_self">Def16</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:57"/>
( ( the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  implies <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="conlat_1.html#K6" target="_self">Concept-with-all-Attributes</a> <font color="Maroon">c<sub>1</sub></font> ) &amp; ( the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  implies <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="conlat_1.html#K5" target="_self">Concept-with-all-Objects</a> <font color="Maroon">c<sub>1</sub></font> ) )
 <b>by </b><i><a class="txt" href="conlat_1.html#E2:57"><i><font color="Green">E33</font></i></a></i>;<br/>


</div>
