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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E17">Th17</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: TOPALG_6:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</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>  st (  for <font color="Olive" title="b2">t</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">T</font><br/>  for <font color="Olive" title="b3">f</font> being   <a href="topalg_1.html#NM1" title="TOPALG_1:NM.1">Loop</a> of <font color="Olive" title="b2">t</font> holds  <font color="Olive" title="b3">f</font> is  <a href="topalg_6.html#V3" title="TOPALG_6:attr.3">nullhomotopic</a>  ) holds <br/><font color="Olive" title="b1">T</font> is  <a href="topalg_6.html#V1" title="TOPALG_6:attr.1">having_trivial_Fundamental_Group</a> </div></div>
