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<b>consider </b><font color="Maroon" title="c1">A</font> being  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid_7.html#K9" title="EUCLID_7:func.9">REAL-L</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span><b> such that </b><br/><a NAME="E2:106"/><i><font color="Green" title="E57">A1</font></i>: 
<font color="Maroon" title="c1">A</font> is    <a href="rlvect_3.html#M1" title="RLVECT_3:mode.1">Basis</a> of  <a href="euclid_7.html#K9" title="EUCLID_7:func.9">REAL-L</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="ref" href="rlvect_5.html#D1" title="RLVECT_5:def.1">RLVECT_5:def 1</a></i>;<br/>
<a NAME="E3:106"/>
 <a href="card_1.html#K5" title="CARD_1:func.5">card</a> <font color="Maroon" title="c1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="ref" href="euclid_7.html#T50" target="_self" title="EUCLID_7:th.50">Th56</a>, <a class="txt" href="#E2:106"><i><font color="Green" title="E57">A1</font></i></a></i>;<br/>
<a NAME="E4:106"/><b>then </b>
<font color="Maroon" title="c1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
;<br/>
<b>hence </b><a NAME="E5:106"/>
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  is    <a href="rlvect_3.html#M1" title="RLVECT_3:mode.1">Basis</a> of  <a href="euclid_7.html#K9" title="EUCLID_7:func.9">REAL-L</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="txt" href="#E2:106"><i><font color="Green" title="E57">A1</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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