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<b>let </b><font color="Maroon" title="c1">X</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">Z</font> be  <a href="waybel25.html#V1" title="WAYBEL25:attr.1">monotone-convergence</a> <a href="t_0topsp.html#NM1" title="T_0TOPSP:NM.1">T_0-TopSpace</a>;<br/><b>let </b><font color="Maroon" title="c3">Y</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Maroon" title="c2">Z</font>;<br/>





<b>given </b><font color="Maroon" title="c4">f</font> being  <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a> <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c2">Z</font>,<font color="Maroon" title="c3">Y</font><b> such that </b><a NAME="E2:29"/><i><font color="Green" title="E22">A1</font></i>: 
<font color="Maroon" title="c4">f</font> <a href="borsuk_1.html#NR1" title="BORSUK_1:NR.1">is_a_retraction</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_1.html#D20" title="BORSUK_1:def.20">BORSUK_1:def 20</a><br/>

<b>take </b>
 <a href="waybel26.html#K3" title="WAYBEL26:func.3">oContMaps</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c4">f</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow16.html#D3" title="YELLOW16:def.3">YELLOW16:def 3</a><br/>

<b>thus </b><a NAME="E3:29"/>
 <a href="waybel26.html#K3" title="WAYBEL26:func.3">oContMaps</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c4">f</font> <a href="yellow16.html#R1" title="YELLOW16:pred.1">is_a_retraction_of</a>  <a href="waybel26.html#K1" title="WAYBEL26:func.1">oContMaps</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">Z</font>, <a href="waybel26.html#K1" title="WAYBEL26:func.1">oContMaps</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c3">Y</font>
 <b>by </b><i><a class="txt" href="waybel26.html#E2:29"><i><font color="Green" title="E22">A1</font></i></a>, <a class="ref" href="waybel26.html#T19" target="_self" title="WAYBEL26:th.19">Th19</a></i>;<br/>


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