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<b>thus </b><a NAME="E1:21_1_1"/>
( <font color="Maroon">X</font> is <a href="cat_5.html#V2" target="_self">categorial</a> implies for <font color="Olive">x</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X</font> holds  <font color="Olive">x</font> is   <a href="cat_1.html#NM4">Category</a> )
 <b>by </b><i/>;<br/>

<b>assume </b><a NAME="E2:21_1_1"/><i><font color="Green">E17</font></i>: 
for <font color="Olive">x</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X</font> holds  <font color="Olive">x</font> is   <a href="cat_1.html#NM4">Category</a>
 ;<br/>

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="cat_5.html#D4" target="_self">CAT_5:def 4</a><br/>

<b>thus </b><a NAME="E3:21_1_1"/>
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> implies <font color="Maroon">x</font> is   <a href="cat_1.html#NM4">Category</a> )
 <b>by </b><i/>;<br/>


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