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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">m</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:34_1_2"/><i><font color="Green">E34</font></i>: 
for <font color="Olive">I</font> being   <a href="rlvect_3.html#M1">Basis</a> of <font color="Maroon">V</font> holds   <a href="card_1.html#K1">Card</a> <font color="Olive">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font>
 <b>and </b><br/><a NAME="E2:34_1_2"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">I</font> being   <a href="rlvect_3.html#M1">Basis</a> of <font color="Maroon">V</font> holds   <a href="card_1.html#K1">Card</a> <font color="Olive">I</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font>
 ;<br/>

<b>consider </b><font color="Maroon">A</font> being  <a href="finset_1.html#V1">finite</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font><b> such that </b><br/><a NAME="E4:34_1_2"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">A</font> is    <a href="rlvect_3.html#M1">Basis</a> of <font color="Maroon">V</font>
 <b>by </b><i>, </i>;<br/>
<a NAME="E5:34_1_2"/>
(  <a href="card_1.html#K1">Card</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font> &amp;  <a href="card_1.html#K1">Card</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font> )
 
<b>by </b><i><a class="ref" href="rlvect_5.html#T1" target="_self">Th1</a>, <a class="txt" href="rlvect_5.html#E1:34"><i><font color="Green">E31</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E6:34_1_2"/>
<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font>
 ;<br/>


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