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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">n</font> is <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a> implies <font color="Maroon" title="c1">n</font> is <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a> )</span><br/>

<b>assume </b><a NAME="E1:4_1_1"/>
<font color="Maroon" title="c1">n</font> is <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">n</font> is <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a></span><br/>

<a NAME="E2:4_1_1"/><b>then </b>
 ex <font color="Olive" title="b1">m</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a> st <font color="Maroon" title="c1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m</font> <a href="pepin.html#K2" title="PEPIN:func.2">^2</a> 
 
<b>by </b><i><a class="ref" href="pythtrip.html#D3" target="_self" title="PYTHTRIP:def.3">Def3</a></i>;<br/>
<b>hence </b><a NAME="E3:4_1_1"/>
<font color="Maroon" title="c1">n</font> is <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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