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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th50</font></span>: <a NAME="T50"><span class="comment"><font color="firebrick">:: BORSUK_6:50</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><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> 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><br/>  for <font color="Olive" title="b5">Q</font> being   <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a>   <a href="borsuk_2.html#M1" title="BORSUK_2:mode.1">Path</a> of <font color="Olive" title="b3">b</font>,<font color="Olive" title="b3">b</font>  st <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="borsuk_6.html#R1" title="BORSUK_6:pred.1">are_connected</a>  holds <br/> <a href="borsuk_6.html#K2" title="BORSUK_6:func.2">RePar</a> (<font color="Olive" title="b4">P</font>,<a href="borsuk_6.html#K3" title="BORSUK_6:func.3">1RP</a>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b4">P</font> <a href="borsuk_2.html#K1" title="BORSUK_2:func.1">+</a> <font color="Olive" title="b5">Q</font></div></div>
