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<b>let </b><font color="Maroon" title="c1">G</font> be  <a href="topgrp_1.html#V4" title="TOPGRP_1:attr.4">BinContinuous</a> <a href="topgrp_1.html#NM4" title="TOPGRP_1:NM.4">TopGroup</a>;<br/><b>let </b><font color="Maroon" title="c2">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font>;<br/>



<b>set </b><font color="Maroon" title="c3">f</font> = <font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a> ;<br/>
<b>thus </b><a NAME="E1:82"/>
(  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">G</font> &amp;  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">G</font> &amp; <font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a>  is <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> )
 <b>by </b><i><a class="ref" href="funct_2.html#D1" title="FUNCT_2:def.1">FUNCT_2:def 1</a>, <a class="ref" href="funct_2.html#D3" title="FUNCT_2:def.3">FUNCT_2:def 3</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="tops_2.html#D5" title="TOPS_2:def.5">TOPS_2:def 5</a>,<a class="ref" href="topgrp_1.html#D4" target="_self" title="TOPGRP_1:def.4">TOPGRP_1:def 4</a><br/>

<b>thus </b><a NAME="E2:82"/>
<font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a>  is <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a>
 ;<br/>

<a NAME="E3:82"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a> </span>)</span> <a href="tops_2.html#K2" title="TOPS_2:func.2">/"</a>  <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="group_1.html#K3" title="GROUP_1:func.3">"</a> </span>)</span> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a> 
 
<b>by </b><i><a class="ref" href="topgrp_1.html#T18" target="_self" title="TOPGRP_1:th.18">Th18</a></i>;<br/>
<b>hence </b><a NAME="E4:82"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="topgrp_1.html#K1" title="TOPGRP_1:func.1">*</a> </span>)</span> <a href="tops_2.html#K2" title="TOPS_2:func.2">/"</a>  is <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a>
 ;<br/>


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