<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">i</font>, <font color="Maroon" title="c2">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="idea_1.html#K6" title="IDEA_1:func.6">NEG_MOD</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">n</font> <a href="idea_1.html#R1" title="IDEA_1:pred.1">is_expressible_by</a> <font color="Maroon" title="c2">n</font></span><br/>



<a NAME="E1:24"/>
 <a href="idea_1.html#K6" title="IDEA_1:func.6">NEG_MOD</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> 2 <a href="series_1.html#K3" title="SERIES_1:func.3">to_power</a> <font color="Maroon" title="c2">n</font>
 
<b>by </b><i><a class="ref" href="nat_d.html#T1" title="NAT_D:th.1">NAT_D:1</a>, <a class="ref" href="power.html#T39" title="POWER:th.39">POWER:39</a></i>;<br/>
<b>hence </b><a NAME="E2:24"/>
 <a href="idea_1.html#K6" title="IDEA_1:func.6">NEG_MOD</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">n</font> <a href="idea_1.html#R1" title="IDEA_1:pred.1">is_expressible_by</a> <font color="Maroon" title="c2">n</font>
 <b>by </b><i><a class="ref" href="idea_1.html#D3" target="_self" title="IDEA_1:def.3">Def3</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
