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<a NAME="E1:112_1_1"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="glib_001.html#V1" target="_self">closed</a> iff <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K3" target="_self">.first()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4" target="_self">.last()</a>  )
 
<b>by </b><i><a class="ref" href="glib_001.html#D24" target="_self">Def24</a></i>;<br/>
<a NAME="E2:112_1_1"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> is <a href="glib_001.html#V1" target="_self">closed</a> iff <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K6" target="_self">.reverse()</a> </span>)</span> <a href="glib_001.html#K4" target="_self">.last()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4" target="_self">.last()</a>  )
 
<b>by </b><i><a class="txt" href="glib_001.html#E47"><i><font color="Green">Lemma39</font></i></a></i>;<br/>
<a NAME="E3:112_1_1"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> is <a href="glib_001.html#V1" target="_self">closed</a> iff <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K6" target="_self">.reverse()</a> </span>)</span> <a href="glib_001.html#K4" target="_self">.last()</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K6" target="_self">.reverse()</a> </span>)</span> <a href="glib_001.html#K3" target="_self">.first()</a>  )
 
<b>by </b><i><a class="txt" href="glib_001.html#E47"><i><font color="Green">Lemma39</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:112_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K6" target="_self">.reverse()</a>  is <a href="glib_001.html#V1" target="_self">closed</a>
 <b>by </b><i><a class="ref" href="glib_001.html#D24" target="_self">Def24</a></i>;<br/>


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