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<div>:: <span class="kw">deftheorem </span>   defines <a href="t_1topsp.html#K4" title="T_1TOPSP:func.4">T_1-reflex</a> <a onclick="hs(this)" href="javascript:()">T_1TOPSP:def 4 : <br/></a><span> for <font color="Olive" title="b1">T</font>, <font color="Olive" title="b2">S</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="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">T</font>,<font color="Olive" title="b2">S</font><br/>  for <font color="Olive">b<sub>4</sub></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 <span class="p1">(<span class="default"><a href="t_1topsp.html#K2" title="T_1TOPSP:func.2">T_1-reflex</a> <font color="Olive" title="b1">T</font></span>)</span>,<span class="p1">(<span class="default"><a href="t_1topsp.html#K2" title="T_1TOPSP:func.2">T_1-reflex</a> <font color="Olive" title="b2">S</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="t_1topsp.html#K4" title="T_1TOPSP:func.4">T_1-reflex</a> <font color="Olive" title="b3">f</font> iff <span class="p1">(<span class="default"><a href="t_1topsp.html#K3" title="T_1TOPSP:func.3">T_1-reflect</a> <font color="Olive" title="b2">S</font></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b3">f</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive">b<sub>4</sub></font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="t_1topsp.html#K3" title="T_1TOPSP:func.3">T_1-reflect</a> <font color="Olive" title="b1">T</font></span>)</span> );<br/></span></div>
