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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="scmyciel.html#NM1" title="SCMYCIEL:NM.1">SimpleGraph</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"> <span class="p1">(<span class="default"><a href="scmyciel.html#K13" title="SCMYCIEL:func.13">MycielskianSeq</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">G</font></span><br/>

<span class="kw">consider </span><font color="Maroon" title="c2">myc</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><span class="kw"> such that </span><br/><a NAME="E2:203"/><span class="lab"><font color="Green" title="E130">A1</font></span>: 
 <a href="scmyciel.html#K13" title="SCMYCIEL:func.13">MycielskianSeq</a> <font color="Maroon" title="c1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">myc</font>
 <span class="kw">and </span><br/><a NAME="E3:203"/><span class="lab"><font color="Green" title="E131">A2</font></span>: 
<font color="Maroon" title="c2">myc</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">G</font>
 <span class="kw">and </span><br/><a NAME="E4:203"/>
 for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">G</font> being   <a href="scmyciel.html#NM1" title="SCMYCIEL:NM.1">SimpleGraph</a>  st <font color="Olive" title="b2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">myc</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> holds <br/><font color="Maroon" title="c2">myc</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmyciel.html#K12" title="SCMYCIEL:func.12">Mycielskian</a> <font color="Olive" title="b2">G</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmyciel.html#D26" target="_self" onmouseover="rs('scmyciel/D26')" onmouseout="rh()">Def26</a></span>;<br/>
<span class="kw">thus </span><a NAME="E5:203"/>
<span class="p1">(<span class="default"><a href="scmyciel.html#K13" title="SCMYCIEL:func.13">MycielskianSeq</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">G</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:203"><span class="lab"><font color="Green" title="E130">A1</font></span></a>, <a class="txt" href="#E3:203"><span class="lab"><font color="Green" title="E131">A2</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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