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<span class="kw">let </span><font color="Maroon" title="c1">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="c1">n</font> <a href="number07.html#R2" title="NUMBER07:pred.2">satisfies_Sierpinski_problem_87a</a>  &amp; <font color="Maroon" title="c1">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 27 implies <font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default">13,17,21,23,27</span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span> )</span><br/>

<span class="kw">assume </span><a NAME="E1:83"/><span class="lab"><font color="Green" title="E75">A1</font></span>: 
<font color="Maroon" title="c1">n</font> <a href="number07.html#R2" title="NUMBER07:pred.2">satisfies_Sierpinski_problem_87a</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="c1">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 27 or <font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default">13,17,21,23,27</span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span> )</span><br/>

<span class="kw">assume </span><a NAME="E2:83"/>
<font color="Maroon" title="c1">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 27
 ; <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">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default">13,17,21,23,27</span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span></span><br/>

<a NAME="E3:83"/><span class="kw">then </span>
 not  not <font color="Maroon" title="c1">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="c1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 27
 
;<br/>
<span class="kw">hence </span><a NAME="E4:83"/>
<font color="Maroon" title="c1">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K3" title="ENUMSET1:func.3">{</a><span class="default">13,17,21,23,27</span><a href="enumset1.html#K3" title="ENUMSET1:func.3">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:83"><span class="lab"><font color="Green" title="E75">A1</font></span></a>, <a class="txt" href="number07.html#E65"><span class="lab"><font color="Green" title="E52">Lm5</font></span></a>, <a class="txt" href="number07.html#E66"><span class="lab"><font color="Green" title="E53">Lm6</font></span></a>, <a class="txt" href="number07.html#E67"><span class="lab"><font color="Green" title="E54">Lm7</font></span></a>, <a class="txt" href="number07.html#E68"><span class="lab"><font color="Green" title="E55">Lm8</font></span></a>, <a class="txt" href="number07.html#E69"><span class="lab"><font color="Green" title="E56">Lm9</font></span></a>, <a class="txt" href="number07.html#E70"><span class="lab"><font color="Green" title="E57">Lm10</font></span></a>, <a class="txt" href="number07.html#E71"><span class="lab"><font color="Green" title="E58">Lm11</font></span></a>, <a class="txt" href="number07.html#E72"><span class="lab"><font color="Green" title="E59">Lm12</font></span></a>, <a class="txt" href="number07.html#E73"><span class="lab"><font color="Green" title="E60">Lm13</font></span></a>, <a class="txt" href="number07.html#E74"><span class="lab"><font color="Green" title="E61">Lm14</font></span></a>, <a class="txt" href="number07.html#E75"><span class="lab"><font color="Green" title="E62">Lm15</font></span></a>, <a class="txt" href="number07.html#E76"><span class="lab"><font color="Green" title="E63">Lm16</font></span></a>, <a class="txt" href="number07.html#E77"><span class="lab"><font color="Green" title="E64">Lm17</font></span></a>, <a class="txt" href="number07.html#E78"><span class="lab"><font color="Green" title="E65">Lm18</font></span></a>, <a class="txt" href="number07.html#E79"><span class="lab"><font color="Green" title="E66">Lm19</font></span></a>, <a class="txt" href="number07.html#E80"><span class="lab"><font color="Green" title="E67">Lm20</font></span></a>, <a class="txt" href="number07.html#E81"><span class="lab"><font color="Green" title="E68">Lm21</font></span></a>, <a class="txt" href="number07.html#E82"><span class="lab"><font color="Green" title="E69">Lm22</font></span></a>, <a class="txt" href="number07.html#E83"><span class="lab"><font color="Green" title="E70">Lm23</font></span></a>, <a class="txt" href="number07.html#E84"><span class="lab"><font color="Green" title="E71">Lm24</font></span></a>, <a class="txt" href="number07.html#E85"><span class="lab"><font color="Green" title="E72">Lm25</font></span></a>, <a class="txt" href="number07.html#E86"><span class="lab"><font color="Green" title="E73">Lm26</font></span></a>, <a class="txt" href="number07.html#E87"><span class="lab"><font color="Green" title="E74">Lm27</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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