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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="struct_0.html#L2">ZeroStr</a> ;<br/><b>let </b><font color="Maroon">z0</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<b>thus </b><a NAME="E1:40"/>
<span class="p1"><a href="algseq_1.html#K5">&lt;%</a><span class="default"><font color="Maroon">z0</font></span><a href="algseq_1.html#K5">%&gt;</a></span> <a href="normsp_1.html#K2">.</a> 0 <a href="hidden.html#R1">=</a> <font color="Maroon">z0</font>
 <b>by </b><i><a class="ref" href="algseq_1.html#D6">ALGSEQ_1:def 6</a></i>;<br/>

<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> ;<br/>

<b>assume </b><a NAME="E2:40"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">n</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 1
 ;<br/>

<a NAME="E3:40"/>
 <a href="algseq_1.html#K3">len</a> <span class="p1"><a href="algseq_1.html#K5">&lt;%</a><span class="default"><font color="Maroon">z0</font></span><a href="algseq_1.html#K5">%&gt;</a></span> <a href="xxreal_0.html#R1">&lt;=</a> 1
 
<b>by </b><i><a class="ref" href="algseq_1.html#D6">ALGSEQ_1:def 6</a></i>;<br/>
<a NAME="E4:40"/><b>then </b>
 <a href="algseq_1.html#K3">len</a> <span class="p1"><a href="algseq_1.html#K5">&lt;%</a><span class="default"><font color="Maroon">z0</font></span><a href="algseq_1.html#K5">%&gt;</a></span> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">n</font>
 
<b>by </b><i><a class="ref" href="polynom5.html#T1" target="_self">Th1</a>, <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<b>hence </b><a NAME="E5:40"/>
<span class="p1"><a href="algseq_1.html#K5">&lt;%</a><span class="default"><font color="Maroon">z0</font></span><a href="algseq_1.html#K5">%&gt;</a></span> <a href="normsp_1.html#K2">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">L</font>
 <b>by </b><i><a class="ref" href="algseq_1.html#T22">ALGSEQ_1:22</a></i>;<br/>


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