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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="cantor_1.html#M1">Basis</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<a NAME="E1:33"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="topgen_2.html#V1" target="_self">finite-weight</a> or  not <font color="Maroon">c<sub>1</sub></font> is <a href="topgen_2.html#V1" target="_self">finite-weight</a> )
 
;<br/>
<b>hence </b><a NAME="E2:33"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="cantor_1.html#M1">Basis</a> of <font color="Maroon">c<sub>1</sub></font> st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="card_1.html#K1">Card</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="waybel23.html#K2">weight</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="topgen_2.html#E28"><i><font color="Green">Lemma21</font></i></a>, <a class="txt" href="topgen_2.html#E23"><i><font color="Green">Lemma17</font></i></a></i>;<br/>


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