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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#L1">TopStruct</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:14"/><i><font color="Green">E8</font></i>: 
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="borsuk_3.html#R1">are_homeomorphic</a> 
 <b>and </b><br/><a NAME="E2:14"/><i><font color="Green">E9</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="waybel18.html#R1">is_Retract_of</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>consider </b><font color="Maroon">c<sub>4</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E4:14"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 <b>by </b><i><a class="txt" href="waybel25.html#E1:14"><i><font color="Green">E8</font></i></a>, <a class="ref" href="t_0topsp.html#D1">T_0TOPSP:def 1</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>5</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E6:14"/><i><font color="Green">E11</font></i>: 
<font color="Maroon">c<sub>5</sub></font> is <a href="pre_topc.html#V5">continuous</a>
 <b>and </b><br/><a NAME="E7:14"/><i><font color="Green">E12</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="partfun1.html#K1">*</a> <font color="Maroon">c<sub>5</sub></font> <a href="funct_2.html#R2">=</a> <font color="Maroon">c<sub>5</sub></font>
 <b>and </b><br/><a NAME="E8:14"/><i><font color="Green">E13</font></i>: 
 <a href="waybel18.html#K7">Image</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="borsuk_3.html#R1">are_homeomorphic</a> 
 <b>by </b><i><a class="txt" href="waybel25.html#E2:14"><i><font color="Green">E9</font></i></a>, <a class="ref" href="waybel18.html#D8">WAYBEL18:def 8</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>5</sub></font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel18.html#D8">WAYBEL18:def 8</a><br/>

<b>consider </b><font color="Maroon">c<sub>6</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <span class="p1">(<span class="default"><a href="waybel18.html#K7">Image</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E10:14"/><i><font color="Green">E14</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 <b>by </b><i><a class="txt" href="waybel25.html#E8:14"><i><font color="Green">E13</font></i></a>, <a class="ref" href="t_0topsp.html#D1">T_0TOPSP:def 1</a></i>;<br/>
<a NAME="E11:14"/>
<font color="Maroon">c<sub>4</sub></font> <a href="partfun1.html#K1">*</a> <font color="Maroon">c<sub>6</sub></font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 
<b>by </b><i><a class="txt" href="waybel25.html#E4:14"><i><font color="Green">E10</font></i></a>, <a class="txt" href="waybel25.html#E10:14"><i><font color="Green">E14</font></i></a>, <a class="ref" href="tops_2.html#T71">TOPS_2:71</a></i>;<br/>
<b>hence </b><a NAME="E12:14"/>
( <font color="Maroon">c<sub>5</sub></font> is <a href="pre_topc.html#V5">continuous</a> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="partfun1.html#K1">*</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> &amp;  <a href="waybel18.html#K7">Image</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="t_0topsp.html#R1">are_homeomorphic</a>  )
 <b>by </b><i><a class="txt" href="waybel25.html#E6:14"><i><font color="Green">E11</font></i></a>, <a class="txt" href="waybel25.html#E7:14"><i><font color="Green">E12</font></i></a>, <a class="ref" href="t_0topsp.html#D1">T_0TOPSP:def 1</a></i>;<br/>


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