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<b>let </b><font color="Maroon">T</font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/><b>let </b><font color="Maroon">f</font> be    <a href="topgrp_1.html#M3" target="_self">Homeomorphism</a> of <font color="Maroon">T</font>, <font color="Maroon">g</font> be    <a href="topgrp_1.html#M3" target="_self">Homeomorphism</a> of <font color="Maroon">T</font>;<br/>



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(  not <font color="Maroon">T</font> is <a href="struct_0.html#V3">empty</a> or <font color="Maroon">T</font> is <a href="struct_0.html#V3">empty</a> )
 
;<br/>
<b>hence </b><a NAME="E2:52"/>
<font color="Maroon">f</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">g</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 <b>by </b><i><a class="ref" href="topgrp_1.html#T1" target="_self">Th1</a>, <a class="ref" href="tops_2.html#T71">TOPS_2:71</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="topgrp_1.html#D4" target="_self">TOPGRP_1:def 4</a><br/>


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