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<div>:: <span class="kw">deftheorem </span>   defines <a href="borsuk_1.html#R1" title="BORSUK_1:pred.1">is_a_retract_of</a> <a onclick="hs(this)" href="javascript:()">BORSUK_1:def 17 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   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/>  for <font color="Olive" title="b2">Y</font> being   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="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">Y</font> <a href="borsuk_1.html#R1" title="BORSUK_1:pred.1">is_a_retract_of</a> <font color="Olive" title="b1">X</font> iff  ex <font color="Olive" title="b3">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="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font> st <font color="Olive" title="b3">F</font> is  <a href="borsuk_1.html#V3" title="BORSUK_1:attr.3">being_a_retraction</a>  );<br/></span></div>
