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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>, <font color="Maroon">c<sub>3</sub></font> be   <a href="conlat_1.html#NM4">FormalConcept</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<div><i><font color="Green">E35</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="64_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:64_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="conlat_1.html#R2" target="_self">is-SubConcept-of</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><a NAME="E2:64_1"/><b>then </b><i><font color="Green">E36</font></i>: 
the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</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#D19" target="_self">Def19</a></i>;<br/><a NAME="E3:64_1"/>
( <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#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> )
 <b>by </b><i><a class="ref" href="conlat_1.html#D13" target="_self">Def13</a></i>;<br/><b>hence </b><a NAME="E4:64_1"/>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E2:64_1"><i><font color="Green">E36</font></i></a>, <a class="ref" href="conlat_1.html#T3" target="_self">Th3</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="64_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:64_2"/>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font>
 ;<br/><a NAME="E2:64_2"/><b>then </b><i><font color="Green">E36</font></i>: 
<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="tarski.html#R1">c=</a> <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>
 <b>by </b><i><a class="ref" href="conlat_1.html#T4" target="_self">Th4</a></i>;<br/><a NAME="E3:64_2"/>
( <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> &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/><b>hence </b><a NAME="E4:64_2"/>
<font color="Maroon">c<sub>2</sub></font> <a href="conlat_1.html#R2" target="_self">is-SubConcept-of</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="conlat_1.html#E2:64_2"><i><font color="Green">E36</font></i></a>, <a class="ref" href="conlat_1.html#D19" target="_self">Def19</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:64"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="conlat_1.html#R2" target="_self">is-SubConcept-of</a> <font color="Maroon">c<sub>3</sub></font> iff the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:64"><i><font color="Green">E35</font></i></a></i>;<br/>


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