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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="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds <br/> ( <font color="Olive" title="b1">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font> iff <font color="Olive" title="b1">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">CP</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font> iff <font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> )</span><br/>



<a NAME="E1:68"/><span class="lab"><font color="Green" title="E35">A1</font></span>: 
( <font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> implies <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:68_1"/><span class="lab"><font color="Green" title="E36">A2</font></span>: 
<font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <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"> <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font></span><br/>

<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c3">CP</font> = <font color="Maroon" title="c2">CP</font> as   <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">I9</font> =  the <a href="conlat_1.html#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">CP</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c5">E9</font> =  the <a href="conlat_1.html#U2" title="CONLAT_1:sel.2">Extent</a> of <font color="Maroon" title="c3">CP</font>;<br/>
<a NAME="E3:68_1"/>
( <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">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="c3">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#U3" title="CONLAT_1:sel.3">Intent</a> of <font color="Maroon" title="c3">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="c3">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/>
<span class="kw">hence </span><a NAME="E4:68_1"/>
<font color="Maroon" title="c2">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:68_1"><span class="lab"><font color="Green" title="E36">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/>


</div><span class="kw">end;</span></div>
<a NAME="E2:68"/>
( <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font> implies <font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_2"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:68_2"/>
<font color="Maroon" title="c2">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <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"> <font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font></span><br/>

<a NAME="E2:68_2"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">E</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font> ex <font color="Olive" title="b2">I</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">C</font> st <br/>( <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="conlat_1.html#G2" title="CONLAT_1:aggr.2">ConceptStr</a>(# <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">I</font> #) &amp;  not  <a href="conlat_1.html#G2" title="CONLAT_1:aggr.2">ConceptStr</a>(# <font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">I</font> #) is  <a href="conlat_1.html#V5" title="CONLAT_1:attr.5">empty</a>  &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> <font color="Olive" title="b1">E</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">I</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> <font color="Olive" title="b2">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">E</font> )
 
;<br/>
<span class="kw">hence </span><a NAME="E3:68_2"/>
<font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</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>; <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="E3:68"/>
( <font color="Maroon" title="c2">CP</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="conlat_1.html#K8" title="CONLAT_1:func.8">B-carrier</a> <font color="Maroon" title="c1">C</font> iff <font color="Maroon" title="c2">CP</font> is   <a href="conlat_1.html#V4" title="CONLAT_1:attr.4">strict</a>  <a href="conlat_1.html#NM4" title="CONLAT_1:NM.4">FormalConcept</a> of <font color="Maroon" title="c1">C</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:68"><span class="lab"><font color="Green" title="E35">A1</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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