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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  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> ;<br/>

<b>assume </b><a NAME="E1:86"/>
 <a href="moebius1.html#K6" target="_self">Radical</a> <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   <a href="newton.html#NM1">Prime</a><b> such that </b><br/><a NAME="E3:86"/><i><font color="Green">E56</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="wsierp_1.html#K2">|^</a> 2 <a href="nat_1.html#R1">divides</a>  <a href="moebius1.html#K6" target="_self">Radical</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="moebius1.html#D1" target="_self">Def1</a></i>;<br/>
<b>thus </b><a NAME="E4:86"/>
contradiction
 <b>by </b><i><a class="txt" href="moebius1.html#E3:86"><i><font color="Green">E56</font></i></a>, <a class="txt" href="moebius1.html#E71"><i><font color="Green">Lemma54</font></i></a></i>;<br/>


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