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<span class="kw">reconsider </span><font color="Maroon" title="c2">B</font> =  <a href="euclid_7.html#K8" title="EUCLID_7:func.8">RN_Base</a> <font color="Maroon" title="c1">n</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="real_ns1.html#K7" title="REAL_NS1:func.7">REAL-US</a> <font color="Maroon" title="c1">n</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="real_ns1.html#D6" onmouseover="rs('real_ns1/D6')" onmouseout="rh()">REAL_NS1:def 6</a></span>;<br/>
<a NAME="E2:101_1_1"/>
<font color="Maroon" title="c2">B</font> is    <a href="rusub_3.html#M1" title="RUSUB_3:mode.1">Basis</a> of  <a href="real_ns1.html#K7" title="REAL_NS1:func.7">REAL-US</a> <font color="Maroon" title="c1">n</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="euclid_7.html#T49" target="_self" onmouseover="rs('euclid_7/T49')" onmouseout="rh()">Th48</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:101_1_1"/>
 <a href="real_ns1.html#K7" title="REAL_NS1:func.7">REAL-US</a> <font color="Maroon" title="c1">n</font> is  <a href="rusub_4.html#V1" title="RUSUB_4:attr.1">finite-dimensional</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="rusub_4.html#D1" onmouseover="rs('rusub_4/D1')" onmouseout="rh()">RUSUB_4:def 1</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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