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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E41">Def3</font></span>   defines <a href="borsuk_2.html#K2" title="BORSUK_2:func.2">-</a> <a onclick="hs(this)" href="javascript:()">BORSUK_6:def 3 : <br/></a><span> 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="borsuk_2.html#V1" title="BORSUK_2:attr.1">pathwise_connected</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">b<sub>5</sub></font> being    <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="b2">a</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="borsuk_2.html#K2" title="BORSUK_2:func.2">-</a> <font color="Olive" title="b4">P</font> iff  for <font color="Olive" title="b6">t</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="topmetr.html#K5" title="TOPMETR:func.5">I[01]</a> holds  <font color="Olive">b<sub>5</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b6">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">P</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b6">t</font></span>)</span> );<br/></span></div>
