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<span class="kw">reconsider </span><font color="Maroon" title="c1">a</font> =  <a href="numpoly1.html#K1" title="NUMPOLY1:func.1">Triangle</a> 1 as   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#T1" onmouseover="rs('tarski/T1')" onmouseout="rh()">TARSKI:1</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">a</font>
; <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">a</font> is  <a href="numpoly1.html#V1" title="NUMPOLY1:attr.1">triangular</a>  &amp; <font color="Maroon" title="c1">a</font> is  <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a>  &amp;  not <font color="Maroon" title="c1">a</font> is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  )</span><br/>

<a NAME="E2:122_1_1"/>
1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="pepin.html#K1" title="PEPIN:func.1">^2</a> 
 
;<br/>
<a NAME="E3:122_1_1"/><span class="kw">then </span>
(  <a href="numpoly1.html#K1" title="NUMPOLY1:func.1">Triangle</a> 1 is  <a href="numpoly1.html#V1" title="NUMPOLY1:attr.1">triangular</a>  &amp;  <a href="numpoly1.html#K1" title="NUMPOLY1:func.1">Triangle</a> 1 is  <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T50" onmouseover="rs('finseq_2/T50')" onmouseout="rh()">FINSEQ_2:50</a>, <a class="ref" href="rvsum_1.html#T73" onmouseover="rs('rvsum_1/T73')" onmouseout="rh()">RVSUM_1:73</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:122_1_1"/>
( <font color="Maroon" title="c1">a</font> is  <a href="numpoly1.html#V1" title="NUMPOLY1:attr.1">triangular</a>  &amp; <font color="Maroon" title="c1">a</font> is  <a href="pythtrip.html#V1" title="PYTHTRIP:attr.1">square</a>  &amp;  not <font color="Maroon" title="c1">a</font> is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</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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