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<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>let </b><font color="Maroon">f</font> be  <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>;<br/>





<b>assume </b><a NAME="E1:27"/>
<font color="Maroon">f</font> <a href="borsuk_1.html#NR1" target="_self">is_a_retraction</a> 
 ;<br/>

<a NAME="E2:27"/><b>then </b>
<font color="Maroon">Y</font> <a href="borsuk_1.html#R1">is_a_retract_of</a> <font color="Maroon">Z</font>
 
<b>by </b><i><a class="ref" href="borsuk_1.html#D20">BORSUK_1:def 20</a></i>;<br/>
<a NAME="E3:27"/><b>then </b>
<font color="Maroon">Y</font> <a href="waybel18.html#R1">is_Retract_of</a> <font color="Maroon">Z</font>
 
<b>by </b><i><a class="ref" href="yellow16.html#T58">YELLOW16:58</a></i>;<br/>
<b>hence </b><a NAME="E4:27"/>
<font color="Maroon">Y</font> is <a href="waybel25.html#V1">monotone-convergence</a>
 <b>by </b><i><a class="ref" href="waybel25.html#T36">WAYBEL25:36</a></i>;<br/>


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