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<b>let </b><font color="Maroon">a</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">T</font>, <font color="Maroon">b</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">T</font>;<br/>

<b>assume </b><a NAME="E1:54_1_2"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="borsuk_2.html#R2">are_connected</a> 
 ;<br/>

<b>consider </b><font color="Maroon">P</font> being    <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">a</font>,<font color="Maroon">b</font>;<br/>
<b>take </b>
 <a href="borsuk_2.html#K2">-</a> <font color="Maroon">P</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_2.html#D1">BORSUK_2:def 1</a><br/>

<a NAME="E3:54_1_2"/>
( <font color="Maroon">P</font> is <a href="pre_topc.html#V5">continuous</a> &amp; <font color="Maroon">P</font> <a href="funct_1.html#K1">.</a> 0 <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> &amp; <font color="Maroon">P</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> )
 
<b>by </b><i>, <a class="ref" href="borsuk_2.html#D2">BORSUK_2:def 2</a></i>;<br/>
<b>hence </b><a NAME="E4:54_1_2"/>
(  <a href="borsuk_2.html#K2">-</a> <font color="Maroon">P</font> is <a href="pre_topc.html#V5">continuous</a> &amp; <span class="p1">(<span class="default"><a href="borsuk_2.html#K2">-</a> <font color="Maroon">P</font></span>)</span> <a href="funct_1.html#K1">.</a> 0 <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> &amp; <span class="p1">(<span class="default"><a href="borsuk_2.html#K2">-</a> <font color="Maroon">P</font></span>)</span> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> )
 <b>by </b><i/>;<br/>


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