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<span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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#U2" title="CONLAT_1:sel.2">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#V9" title="CONLAT_1:attr.9">co-universal</a>  ) &amp; (  the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">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#V8" title="CONLAT_1:attr.8">universal</a>  ) )</span><br/><span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">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#V9" title="CONLAT_1:attr.9">co-universal</a>  ) &amp; (  the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">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#V8" title="CONLAT_1:attr.8">universal</a>  ) )</span><br/>



<a NAME="E1:55"/><span class="lab"><font color="Green" title="E30">A1</font></span>: 
<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#U3" title="CONLAT_1:sel.3">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">Extent</a> of <font color="Maroon" title="c2">CP</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D10" target="_self" title="CONLAT_1:def.10">Def13</a></span>;<br/>
<div><span class="lab"><font color="Green" title="E31">A2</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="55_1"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:55_1"/>
 the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">CP</font> is  <a href="conlat_1.html#V8" title="CONLAT_1:attr.8">universal</a> </span><br/><a NAME="E2:55_1"/><span class="kw">then </span>
 the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">Extent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:55"><span class="lab"><font color="Green" title="E30">A1</font></span></a>, <a class="ref" href="conlat_1.html#T18" target="_self" title="CONLAT_1:th.18">Th19</a></span>;<br/><span class="kw">hence </span><a NAME="E3:55_1"/>
<font color="Maroon" title="c2">CP</font> is  <a href="conlat_1.html#V8" title="CONLAT_1:attr.8">universal</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D11" target="_self" title="CONLAT_1:def.11">Def14</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<a NAME="E3:55"/><span class="lab"><font color="Green" title="E32">A3</font></span>: 
<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#U2" title="CONLAT_1:sel.2">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#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D10" target="_self" title="CONLAT_1:def.10">Def13</a></span>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="55_2"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:55_2"/>
 the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">CP</font> is  <a href="conlat_1.html#V9" title="CONLAT_1:attr.9">co-universal</a> </span><br/><a NAME="E2:55_2"/><span class="kw">then </span>
 the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">C</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:55"><span class="lab"><font color="Green" title="E32">A3</font></span></a>, <a class="ref" href="conlat_1.html#T17" target="_self" title="CONLAT_1:th.17">Th18</a></span>;<br/><span class="kw">hence </span><a NAME="E3:55_2"/>
<font color="Maroon" title="c2">CP</font> is  <a href="conlat_1.html#V9" title="CONLAT_1:attr.9">co-universal</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D12" target="_self" title="CONLAT_1:def.12">Def15</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E5:55"/>
( (  the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">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#V9" title="CONLAT_1:attr.9">co-universal</a>  ) &amp; (  the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">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#V8" title="CONLAT_1:attr.8">universal</a>  ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:55"><span class="lab"><font color="Green" title="E31">A2</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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