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<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#V8" target="_self">quasi-empty</a>  <a href="conlat_1.html#L3" target="_self">ConceptStr</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:58"/>
<font color="Maroon">c<sub>2</sub></font> is   <a href="conlat_1.html#NM4">FormalConcept</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as   <a href="conlat_1.html#NM4">FormalConcept</a> of <font color="Maroon">c<sub>1</sub></font> ;<br/>
<a NAME="E3:58"/><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>3</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>3</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>3</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>3</sub></font> )
 
<b>by </b><i><a class="ref" href="conlat_1.html#D13" target="_self">Def13</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="58_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="58_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:58_1_1"/>
( the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>3</sub></font> is <a href="xboole_0.html#V1">empty</a> or the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>3</sub></font> is <a href="xboole_0.html#V1">empty</a> )
 </span><b>by </b><i><a class="ref" href="conlat_1.html#D12" target="_self">Def12</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="58_1_1_1"><b>case </b></a><a NAME="E1:58_1_1_1"/>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>3</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/><div class="add"><a NAME="E2:58_1_1_1"/><b>then </b>
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>3</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#E3:58"><i><font color="Green">E32</font></i></a>, <a class="ref" href="conlat_1.html#T19" target="_self">Th19</a></i>;<br/><b>hence </b><a NAME="E3:58_1_1_1"/>
<font color="Maroon">c<sub>3</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/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="58_1_1_2"><b>case </b></a><a NAME="E1:58_1_1_2"/>
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>3</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/><div class="add"><a NAME="E2:58_1_1_2"/><b>then </b>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>3</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#E3:58"><i><font color="Green">E32</font></i></a>, <a class="ref" href="conlat_1.html#T18" target="_self">Th18</a></i>;<br/><b>hence </b><a NAME="E3:58_1_1_2"/>
<font color="Maroon">c<sub>3</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/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E5:58"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="conlat_1.html#V10" target="_self">universal</a> or <font color="Maroon">c<sub>2</sub></font> is <a href="conlat_1.html#V11" target="_self">co-universal</a> )
 ;<br/>


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