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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>assume </b><a NAME="E1:46"/>
not <font color="Maroon">c<sub>1</sub></font> is <a href="moebius1.html#V1" target="_self">square-containing</a>
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>2</sub></font> being  non <a href="xboole_0.html#V1">zero</a> <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> <b> such that </b><br/><a NAME="E3:46"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="moebius1.html#K2" target="_self">Moebius</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="binop_2.html#K7">-</a> 1</span>)</span> <a href="newton.html#K3">|^</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><a href="polynom2.html#K1">support</a> <span class="p3">(<span class="default"><a href="nat_3.html#NK14" target="_self">ppf</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> )
 <b>by </b><i><a class="ref" href="moebius1.html#D3" target="_self">Def3</a></i>;<br/>
<b>thus </b><a NAME="E4:46"/>
 <a href="moebius1.html#K2" target="_self">Moebius</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <b>by </b><i><a class="txt" href="moebius1.html#E3:46"><i><font color="Green">E33</font></i></a>, <a class="ref" href="card_4.html#T51">CARD_4:51</a></i>;<br/>


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