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<b>let </b><font color="Maroon">X</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">Z</font> be  <a href="waybel25.html#V1">monotone-convergence</a> <a href="t_0topsp.html#NM1">T_0-TopSpace</a>;<br/><b>let </b><font color="Maroon">Y</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">Z</font>;<br/>





<b>given </b><font color="Maroon">f</font> being  <a href="pre_topc.html#V5">continuous</a> <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">Z</font>,<font color="Maroon">Y</font><b> such that </b><a NAME="E1:29"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">f</font> <a href="borsuk_1.html#NR1" target="_self">is_a_retraction</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_1.html#D20">BORSUK_1:def 20</a><br/>

<b>take </b>
 <a href="waybel26.html#K3" target="_self">oContMaps</a> <font color="Maroon">X</font>,<font color="Maroon">f</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow16.html#D3">YELLOW16:def 3</a><br/>

<b>thus </b><a NAME="E2:29"/>
 <a href="waybel26.html#K3" target="_self">oContMaps</a> <font color="Maroon">X</font>,<font color="Maroon">f</font> <a href="yellow16.html#R1">is_a_retraction_of</a>  <a href="waybel26.html#K1" target="_self">oContMaps</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font>, <a href="waybel26.html#K1" target="_self">oContMaps</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font>
 <b>by </b><i>, </i>;<br/>


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