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<a NAME="E1:77_1_1"/>
<font color="Maroon" title="c1">s</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_2.html#T29" onmouseover="rs('nat_2/T29')" onmouseout="rh()">NAT_2:29</a></span>;<br/>
<a NAME="E2:77_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E42">A1</font></span>: 
<font color="Maroon" title="c1">s</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 2 <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xreal_1.html#T19" onmouseover="rs('xreal_1/T19')" onmouseout="rh()">XREAL_1:19</a></span>;<br/>
<a NAME="E3:77_1_1"/>
 <a href="numpoly1.html#K2" title="NUMPOLY1:func.2">Polygon</a> (<font color="Maroon" title="c1">s</font>,<font color="Maroon" title="c2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">s</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 2</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><a href="numpoly1.html#K1" title="NUMPOLY1:func.1">Triangle</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">n</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c2">n</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="numpoly1.html#T49" target="_self" onmouseover="rs('numpoly1/T49')" onmouseout="rh()">Th49</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:77_1_1"/>
 <a href="numpoly1.html#K2" title="NUMPOLY1:func.2">Polygon</a> (<font color="Maroon" title="c1">s</font>,<font color="Maroon" title="c2">n</font>) is  <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#T3" onmouseover="rs('int_1/T3')" onmouseout="rh()">INT_1:3</a>, <a class="txt" href="#E2:77_1_1"><span class="lab"><font color="Green" title="E42">A1</font></span></a></span>; <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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