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<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="conlat_1.html#NM1" title="CONLAT_1:NM.1">FormalContext</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">CP</font> being  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> holds <br/> ( ( the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Olive" title="b1">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Olive" title="b1">CP</font> is <a href="conlat_1.html#V11" title="CONLAT_1:attr.11">co-universal</a> ) &amp; ( the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Olive" title="b1">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Olive" title="b1">CP</font> is <a href="conlat_1.html#V10" title="CONLAT_1:attr.10">universal</a> ) )</span><br/><b>let </b><font color="Maroon" title="c2">CP</font> be   <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( ( the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V11" title="CONLAT_1:attr.11">co-universal</a> ) &amp; ( the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V10" title="CONLAT_1:attr.10">universal</a> ) )</span><br/>



<a NAME="E1:56"/><i><font color="Green" title="E31">A1</font></i>: 
( <span class="p1">(<span class="default"><a href="conlat_1.html#K1" title="CONLAT_1:func.1">ObjectDerivation</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> &amp; <span class="p1">(<span class="default"><a href="conlat_1.html#K2" title="CONLAT_1:func.2">AttributeDerivation</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> )
 
<b>by </b><i><a class="ref" href="conlat_1.html#D13" target="_self" title="CONLAT_1:def.13">Def13</a></i>;<br/>
<div><i><font color="Green" title="E32">A2</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" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</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">CP</font> is <a href="conlat_1.html#V11" title="CONLAT_1:attr.11">co-universal</a></span><br/><a NAME="E2:56_1"/><b>then </b>
the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">Attributes</a> of <font color="Maroon" title="c1">C</font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:56"><i><font color="Green" title="E31">A1</font></i></a>, <a class="ref" href="conlat_1.html#T18" target="_self" title="CONLAT_1:th.18">Th18</a></i>;<br/><b>hence </b><a NAME="E3:56_1"/>
<font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V11" title="CONLAT_1:attr.11">co-universal</a>
 <b>by </b><i><a class="ref" href="conlat_1.html#D15" target="_self" title="CONLAT_1:def.15">Def15</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>
<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" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</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">CP</font> is <a href="conlat_1.html#V10" title="CONLAT_1:attr.10">universal</a></span><br/><a NAME="E2:56_2"/><b>then </b>
the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="conlat_1.html#U1" title="CONLAT_1:sel.1">Objects</a> of <font color="Maroon" title="c1">C</font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:56"><i><font color="Green" title="E31">A1</font></i></a>, <a class="ref" href="conlat_1.html#T19" target="_self" title="CONLAT_1:th.19">Th19</a></i>;<br/><b>hence </b><a NAME="E3:56_2"/>
<font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V10" title="CONLAT_1:attr.10">universal</a>
 <b>by </b><i><a class="ref" href="conlat_1.html#D14" target="_self" title="CONLAT_1:def.14">Def14</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="E4:56"/>
( ( the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V11" title="CONLAT_1:attr.11">co-universal</a> ) &amp; ( the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V10" title="CONLAT_1:attr.10">universal</a> ) )
 <b>by </b><i><a class="txt" href="conlat_1.html#E2:56"><i><font color="Green" title="E32">A2</font></i></a></i>; <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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