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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</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">G</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  implies (  not <font color="Maroon" title="c1">G</font> is  <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  &amp; <font color="Maroon" title="c1">G</font> is  <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</a>  &amp; <font color="Maroon" title="c1">G</font> is  <a href="glib_013.html#V6" title="GLIB_013:attr.6">with_max_degree</a>  ) )</span><br/>

<span class="kw">assume </span><a NAME="E1:69_1_1"/><span class="lab"><font color="Green" title="E40">A1</font></span>: 
<font color="Maroon" title="c1">G</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</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">G</font> is  <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  &amp; <font color="Maroon" title="c1">G</font> is  <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</a>  &amp; <font color="Maroon" title="c1">G</font> is  <a href="glib_013.html#V6" title="GLIB_013:attr.6">with_max_degree</a>  )</span><br/>

<span class="kw">hence </span><a NAME="E2:69_1_1"/>
 not <font color="Maroon" title="c1">G</font> is  <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</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">G</font> is  <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</a>  &amp; <font color="Maroon" title="c1">G</font> is  <a href="glib_013.html#V6" title="GLIB_013:attr.6">with_max_degree</a>  )</span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c2">G9</font> = <font color="Maroon" title="c1">G</font> as   <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:69_1_1"><span class="lab"><font color="Green" title="E40">A1</font></span></a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">C</font> =  the   <a href="glib_001.html#V8" title="GLIB_001:attr.8">Cycle-like</a>   <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Maroon" title="c2">G9</font>;<br/>
<a NAME="E4:69_1_1"/>
(  the   <a href="glib_001.html#V8" title="GLIB_001:attr.8">Cycle-like</a>   <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Maroon" title="c2">G9</font> <a href="glib_001.html#K13" title="GLIB_001:func.13">.vertices()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font> &amp;  the   <a href="glib_001.html#V8" title="GLIB_001:attr.8">Cycle-like</a>   <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Maroon" title="c2">G9</font> <a href="glib_001.html#K14" title="GLIB_001:func.14">.edges()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Maroon" title="c1">G</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glpacy00.html#T31" target="_self" onmouseover="rs('glpacy00/T31')" onmouseout="rh()">Th39</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:69_1_1"/>
( <font color="Maroon" title="c1">G</font> is  <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</a>  &amp; <font color="Maroon" title="c1">G</font> is  <a href="glib_013.html#V6" title="GLIB_013:attr.6">with_max_degree</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="glib_000.html#D17" onmouseover="rs('glib_000/D17')" onmouseout="rh()">GLIB_000:def 17</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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