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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E19">Def5</font></span>   defines <a href="toprealb.html#V1" title="TOPREALB:attr.1">being_simple_closed_curve</a> <a onclick="hs(this)" href="javascript:()">TOPREALB:def 5 : <br/></a><span> for <font color="Olive" title="b1">S</font> being    <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2 holds <br/> ( <font color="Olive" title="b1">S</font> is  <a href="toprealb.html#V1" title="TOPREALB:attr.1">being_simple_closed_curve</a>  iff  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font> is   <a href="topreal2.html#NM1" title="TOPREAL2:NM.1">Simple_closed_curve</a> );<br/></span></div>
