<?xml version="1.0"?>
<div class="add">

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:82_1_1_1"/>
<font color="Maroon" title="c2">v</font> is <a href="glib_000.html#V10" title="GLIB_000:attr.10">isolated</a>
 ;<br/><a NAME="E2:82_1_1_1"/><b>then </b>
<font color="Maroon" title="c2">v</font> <a href="glib_000.html#K29" title="GLIB_000:func.29">.edgesInOut()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 <b>by </b><i><a class="ref" href="glib_000.html#D51" target="_self" title="GLIB_000:def.51">Def51</a></i>;<br/><a NAME="E3:82_1_1_1"/><b>then </b>
( <font color="Maroon" title="c2">v</font> <a href="glib_000.html#K33" title="GLIB_000:func.33">.inDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 &amp; <font color="Maroon" title="c2">v</font> <a href="glib_000.html#K34" title="GLIB_000:func.34">.outDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 <b>by </b><i><a class="ref" href="card_1.html#T78" title="CARD_1:th.78">CARD_1:78</a>, <a class="ref" href="xboole_1.html#T15" title="XBOOLE_1:th.15">XBOOLE_1:15</a></i>;<br/><b>hence </b><a NAME="E4:82_1_1_1"/>
<font color="Maroon" title="c2">v</font> <a href="glib_000.html#K36" title="GLIB_000:func.36">.degree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:82_1_1"/>
<font color="Maroon" title="c2">v</font> <a href="glib_000.html#K36" title="GLIB_000:func.36">.degree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/>

<a NAME="E3:82_1_1"/><b>then </b>
( <font color="Maroon" title="c2">v</font> <a href="glib_000.html#K33" title="GLIB_000:func.33">.inDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 &amp; <font color="Maroon" title="c2">v</font> <a href="glib_000.html#K34" title="GLIB_000:func.34">.outDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 
<b>by </b><i><a class="ref" href="nat_1.html#T7" title="NAT_1:th.7">NAT_1:7</a></i>;<br/>
<a NAME="E4:82_1_1"/><b>then </b>
( <font color="Maroon" title="c2">v</font> <a href="glib_000.html#K27" title="GLIB_000:func.27">.edgesIn()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c2">v</font> <a href="glib_000.html#K28" title="GLIB_000:func.28">.edgesOut()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 
<b>by </b><i><a class="ref" href="card_2.html#T59" title="CARD_2:th.59">CARD_2:59</a></i>;<br/>
<a NAME="E5:82_1_1"/><b>then </b>
<font color="Maroon" title="c2">v</font> <a href="glib_000.html#K29" title="GLIB_000:func.29">.edgesInOut()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
;<br/>
<b>hence </b><a NAME="E6:82_1_1"/>
<font color="Maroon" title="c2">v</font> is <a href="glib_000.html#V10" title="GLIB_000:attr.10">isolated</a>
 <b>by </b><i><a class="ref" href="glib_000.html#D51" target="_self" title="GLIB_000:def.51">Def51</a></i>;<br/>


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