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<a NAME="E1:45_1_1"/><i><font color="Green">E30</font></i>: 
 <a href="grcat_1.html#K7">id</a> <font color="Maroon">T</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E2:45_1_1"/><b>then </b>
<font color="Maroon">T</font>,<font color="Maroon">T</font> <a href="t_0topsp.html#R1">are_homeomorphic</a> 
 
<b>by </b><i><a class="ref" href="t_0topsp.html#D1">T_0TOPSP:def 1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">f</font> =  <a href="grcat_1.html#K7">id</a> <font color="Maroon">T</font> as    <a href="topgrp_1.html#M1" target="_self">Homeomorphism</a> of <font color="Maroon">T</font>,<font color="Maroon">T</font> <b>by </b><i>, </i>;<br/>
<a NAME="E4:45_1_1"/>
<font color="Maroon">f</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:45_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">T</font>,<font color="Maroon">T</font> st <font color="Olive">b<sub>1</sub></font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 ;<br/>


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