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<b>let </b><font color="Maroon">T</font> be   <a href="t_0topsp.html#NM1">T_0-TopSpace</a>;<br/>

<b>assume </b><a NAME="E1:49"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">T</font> is <a href="waybel18.html#V2" target="_self">injective</a>
 ;<br/>

<b>consider </b><font color="Maroon">M</font> being  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> , <font color="Maroon">f</font> being   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">T</font>,<span class="p1">(<span class="default"><a href="waybel18.html#K3" target="_self">product</a> <span class="p2">(<span class="default"><font color="Maroon">M</font> <a href="pre_circ.html#K2">--&gt;</a> <a href="waybel18.html#K9" target="_self">Sierpinski_Space</a> </span>)</span></span>)</span><b> such that </b><br/><a NAME="E3:49"/><i><font color="Green">E28</font></i>: 
 <a href="waybel18.html#K8" target="_self">corestr</a> <font color="Maroon">f</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 <b>by </b><i/>;<br/>
<a NAME="E4:49"/>
<font color="Maroon">T</font> <a href="waybel18.html#R1" target="_self">is_Retract_of</a>  <a href="waybel18.html#K3" target="_self">product</a> <span class="p1">(<span class="default"><font color="Maroon">M</font> <a href="pre_circ.html#K2">--&gt;</a> <a href="waybel18.html#K9" target="_self">Sierpinski_Space</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="waybel18.html#T2" target="_self">Th2</a>, </i>;<br/>
<b>hence </b><a NAME="E5:49"/>
 ex <font color="Olive">M</font> being non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a>  st <font color="Maroon">T</font> <a href="waybel18.html#R1" target="_self">is_Retract_of</a>  <a href="waybel18.html#K3" target="_self">product</a> <span class="p1">(<span class="default"><font color="Olive">M</font> <a href="pre_circ.html#K2">--&gt;</a> <a href="waybel18.html#K9" target="_self">Sierpinski_Space</a> </span>)</span>
 ;<br/>


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