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<b>let </b><font color="Maroon">T</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">P</font> be    <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">a</font>,<font color="Maroon">b</font>;<br/><b>let </b><font color="Maroon">Q</font> be  <a href="funct_1.html#V3">constant</a>  <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">b</font>,<font color="Maroon">b</font>;<br/>









<b>assume </b><a NAME="E1:109"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="borsuk_6.html#R1" target="_self">are_connected</a> 
 ;<br/>

<a NAME="E2:109"/>
 <a href="borsuk_6.html#K2" target="_self">RePar</a> <font color="Maroon">P</font>,<a href="borsuk_6.html#K3" target="_self">1RP</a>  <a href="funct_2.html#R2">=</a> <font color="Maroon">P</font> <a href="borsuk_2.html#K1">+</a> <font color="Maroon">Q</font>
 
<b>by </b><i>, <a class="ref" href="borsuk_6.html#T13" target="_self">Th13</a></i>;<br/>
<b>hence </b><a NAME="E3:109"/>
<font color="Maroon">P</font> <a href="borsuk_2.html#K1">+</a> <font color="Maroon">Q</font>,<font color="Maroon">P</font> <a href="borsuk_2.html#R3">are_homotopic</a> 
 <b>by </b><i>, <a class="ref" href="borsuk_6.html#T7" target="_self">Th7</a>, </i>;<br/>


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