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<b>let </b><font color="Maroon" title="c1">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="c2">Y</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Maroon" title="c1">Z</font>;<br/><b>let </b><font color="Maroon" title="c3">f</font> be  <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="c1">Z</font>,<font color="Maroon" title="c2">Y</font>;<br/>





<b>assume </b><a NAME="E1:27"/>
<font color="Maroon" title="c3">f</font> <a href="borsuk_1.html#NR1" title="BORSUK_1:NR.1">is_a_retraction</a> 
 ;<br/>

<a NAME="E2:27"/><b>then </b>
<font color="Maroon" title="c2">Y</font> <a href="borsuk_1.html#R1" title="BORSUK_1:pred.1">is_a_retract_of</a> <font color="Maroon" title="c1">Z</font>
 
<b>by </b><i><a class="ref" href="borsuk_1.html#D20" title="BORSUK_1:def.20">BORSUK_1:def 20</a></i>;<br/>
<a NAME="E3:27"/><b>then </b>
<font color="Maroon" title="c2">Y</font> <a href="waybel18.html#R1" title="WAYBEL18:pred.1">is_Retract_of</a> <font color="Maroon" title="c1">Z</font>
 
<b>by </b><i><a class="ref" href="yellow16.html#T58" title="YELLOW16:th.58">YELLOW16:58</a></i>;<br/>
<b>hence </b><a NAME="E4:27"/>
<font color="Maroon" title="c2">Y</font> is <a href="waybel25.html#V1" title="WAYBEL25:attr.1">monotone-convergence</a>
 <b>by </b><i><a class="ref" href="waybel25.html#T36" title="WAYBEL25:th.36">WAYBEL25:36</a></i>;<br/>


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