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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: TOPALG_2:19</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="topalg_2.html#V2" title="TOPALG_2:attr.2">interval</a>   <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of  <a href="topalg_2.html#K2" title="TOPALG_2:func.2">R^1</a> <br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</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="b4">P</font>, <font color="Olive" title="b5">Q</font> being    <a href="borsuk_2.html#M1" title="BORSUK_2:mode.1">Path</a> of <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> holds   <a href="topalg_2.html#K3" title="TOPALG_2:func.3">R1Homotopy</a> (<font color="Olive" title="b4">P</font>,<font color="Olive" title="b5">Q</font>) is    <a href="borsuk_6.html#M1" title="BORSUK_6:mode.1">Homotopy</a> of <font color="Olive" title="b4">P</font>,<font color="Olive" title="b5">Q</font></div></div>
