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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="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">CP1</font>, <font color="Olive" title="b2">CP2</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/> ( <font color="Olive" title="b1">CP1</font> <a href="conlat_1.html#R2" title="CONLAT_1:pred.2">is-SubConcept-of</a> <font color="Olive" title="b2">CP2</font> iff the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Olive" title="b2">CP2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Olive" title="b1">CP1</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">CP1</font>, <font color="Maroon" title="c3">CP2</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="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">CP1</font> <a href="conlat_1.html#R2" title="CONLAT_1:pred.2">is-SubConcept-of</a> <font color="Maroon" title="c3">CP2</font> iff the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP1</font> )</span><br/>



<div><span class="lab"><font color="Green" title="E34">A1</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="66_1"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:66_1"/>
the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP1</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">CP1</font> <a href="conlat_1.html#R2" title="CONLAT_1:pred.2">is-SubConcept-of</a> <font color="Maroon" title="c3">CP2</font></span><br/><a NAME="E2:66_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E35">A2</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">CP1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <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="c3">CP2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#T4" target="_self" title="CONLAT_1:th.4">Th4</a></span>;<br/><a NAME="E3:66_1"/>
( <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">CP1</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">CP1</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#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP2</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="c3">CP2</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D13" target="_self" title="CONLAT_1:def.13">Def13</a></span>;<br/><span class="kw">hence </span><a NAME="E4:66_1"/>
<font color="Maroon" title="c2">CP1</font> <a href="conlat_1.html#R2" title="CONLAT_1:pred.2">is-SubConcept-of</a> <font color="Maroon" title="c3">CP2</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:66_1"><span class="lab"><font color="Green" title="E35">A2</font></span></a>, <a class="ref" href="conlat_1.html#D19" target="_self" title="CONLAT_1:def.19">Def19</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="66_2"><span class="kw">now </span></a><div class="add"><span class="kw">assume </span><a NAME="E1:66_2"/>
<font color="Maroon" title="c2">CP1</font> <a href="conlat_1.html#R2" title="CONLAT_1:pred.2">is-SubConcept-of</a> <font color="Maroon" title="c3">CP2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP1</font></span><br/><a NAME="E2:66_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E35">A3</font></span>: 
the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">Extent</a> of <font color="Maroon" title="c2">CP1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">Extent</a> of <font color="Maroon" title="c3">CP2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D19" target="_self" title="CONLAT_1:def.19">Def19</a></span>;<br/><a NAME="E3:66_2"/>
( <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="c3">CP2</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="c3">CP2</font> &amp; <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">CP1</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">CP1</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="conlat_1.html#D13" target="_self" title="CONLAT_1:def.13">Def13</a></span>;<br/><span class="kw">hence </span><a NAME="E4:66_2"/>
the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP1</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:66_2"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="ref" href="conlat_1.html#T3" target="_self" title="CONLAT_1:th.3">Th3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E3:66"/>
( <font color="Maroon" title="c2">CP1</font> <a href="conlat_1.html#R2" title="CONLAT_1:pred.2">is-SubConcept-of</a> <font color="Maroon" title="c3">CP2</font> iff the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c2">CP1</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:66"><span class="lab"><font color="Green" title="E34">A1</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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