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<span class="kw">let </span><font color="Maroon" title="c2">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</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="c2">n</font> <a href="number08.html#R2" title="NUMBER08:pred.2">satisfies_Sierpinski_problem_86</a>  &amp; <font color="Maroon" title="c2">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 32 implies <font color="Maroon" title="c2">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="domain_1.html#K10" title="DOMAIN_1:func.10">{</a><span class="default">14,16,20,22,32</span><a href="domain_1.html#K10" title="DOMAIN_1:func.10">}</a></span> )</span><br/>

<span class="kw">assume </span><a NAME="E1:115"/><span class="lab"><font color="Green" title="E91">A1</font></span>: 
<font color="Maroon" title="c2">n</font> <a href="number08.html#R2" title="NUMBER08:pred.2">satisfies_Sierpinski_problem_86</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"> (  not <font color="Maroon" title="c2">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 32 or <font color="Maroon" title="c2">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="domain_1.html#K10" title="DOMAIN_1:func.10">{</a><span class="default">14,16,20,22,32</span><a href="domain_1.html#K10" title="DOMAIN_1:func.10">}</a></span> )</span><br/>

<span class="kw">assume </span><a NAME="E2:115"/>
<font color="Maroon" title="c2">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 32
 ; <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="c2">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="domain_1.html#K10" title="DOMAIN_1:func.10">{</a><span class="default">14,16,20,22,32</span><a href="domain_1.html#K10" title="DOMAIN_1:func.10">}</a></span></span><br/>

<a NAME="E3:115"/><span class="kw">then </span>
 not  not <font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp;  ...  &amp;  not <font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 32
 
;<br/>
<span class="kw">hence </span><a NAME="E4:115"/>
<font color="Maroon" title="c2">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="domain_1.html#K10" title="DOMAIN_1:func.10">{</a><span class="default">14,16,20,22,32</span><a href="domain_1.html#K10" title="DOMAIN_1:func.10">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:115"><span class="lab"><font color="Green" title="E91">A1</font></span></a>, <a class="ref" href="number08.html#T50" target="_self" onmouseover="rs('number08/T50')" onmouseout="rh()">Th50</a>, <a class="txt" href="number08.html#E84"><span class="lab"><font color="Green" title="E69">Lm16</font></span></a>, <a class="txt" href="number08.html#E85"><span class="lab"><font color="Green" title="E70">Lm17</font></span></a>, <a class="txt" href="number08.html#E86"><span class="lab"><font color="Green" title="E71">Lm18</font></span></a>, <a class="txt" href="number08.html#E87"><span class="lab"><font color="Green" title="E72">Lm19</font></span></a>, <a class="txt" href="number08.html#E88"><span class="lab"><font color="Green" title="E73">Lm20</font></span></a>, <a class="txt" href="number08.html#E89"><span class="lab"><font color="Green" title="E74">Lm21</font></span></a>, <a class="txt" href="number08.html#E90"><span class="lab"><font color="Green" title="E75">Lm22</font></span></a>, <a class="txt" href="number08.html#E91"><span class="lab"><font color="Green" title="E76">Lm23</font></span></a>, <a class="txt" href="number08.html#E92"><span class="lab"><font color="Green" title="E77">Lm24</font></span></a>, <a class="txt" href="number08.html#E93"><span class="lab"><font color="Green" title="E78">Lm25</font></span></a>, <a class="txt" href="number08.html#E94"><span class="lab"><font color="Green" title="E79">Lm26</font></span></a>, <a class="txt" href="number08.html#E95"><span class="lab"><font color="Green" title="E80">Lm27</font></span></a>, <a class="txt" href="number08.html#E96"><span class="lab"><font color="Green" title="E81">Lm28</font></span></a>, <a class="txt" href="number08.html#E97"><span class="lab"><font color="Green" title="E82">Lm29</font></span></a>, <a class="txt" href="number08.html#E98"><span class="lab"><font color="Green" title="E83">Lm30</font></span></a>, <a class="txt" href="number08.html#E99"><span class="lab"><font color="Green" title="E84">Lm31</font></span></a>, <a class="txt" href="number08.html#E100"><span class="lab"><font color="Green" title="E85">Lm32</font></span></a>, <a class="txt" href="number08.html#E101"><span class="lab"><font color="Green" title="E86">Lm33</font></span></a>, <a class="txt" href="number08.html#E102"><span class="lab"><font color="Green" title="E87">Lm34</font></span></a>, <a class="txt" href="number08.html#E103"><span class="lab"><font color="Green" title="E88">Lm35</font></span></a>, <a class="txt" href="number08.html#E104"><span class="lab"><font color="Green" title="E89">Lm36</font></span></a>, <a class="txt" href="number08.html#E105"><span class="lab"><font color="Green" title="E90">Lm37</font></span></a>, <a class="ref" href="enumset1.html#D3" onmouseover="rs('enumset1/D3')" onmouseout="rh()">ENUMSET1:def 3</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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