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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numpoly1.html#K9" title="NUMPOLY1:func.9">SquareNumbers</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">x</font> is  <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a> </span><br/>

<a NAME="E1:104_2_1"/>
<font color="Maroon" title="c1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="numpoly1.html#K9" title="NUMPOLY1:func.9">SquareNumbers</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="subset_1.html#D1" onmouseover="rs('subset_1/D1')" onmouseout="rh()">SUBSET_1:def 1</a></span>;<br/>
<a NAME="E2:104_2_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numpoly1.html#K2" title="NUMPOLY1:func.2">Polygon</a> (4,<font color="Olive" title="b1">n</font>)
 
;<br/>
<span class="kw">hence </span><a NAME="E3:104_2_1"/>
<font color="Maroon" title="c1">x</font> is  <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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