<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="borsuk_2.html#V1">arcwise_connected</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>











<a NAME="E1:35"/>
( <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="borsuk_6.html#R1">are_connected</a>  &amp; <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="borsuk_6.html#R1">are_connected</a>  &amp; <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="borsuk_6.html#R1">are_connected</a>  &amp; <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="borsuk_6.html#R1">are_connected</a>  )
 
<b>by </b><i><a class="ref" href="borsuk_2.html#D3">BORSUK_2:def 3</a></i>;<br/>
<b>hence </b><a NAME="E2:35"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font><br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font><br/>for <font color="Olive">b<sub>3</sub></font> being   <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font><br/>for <font color="Olive">b<sub>4</sub></font> being   <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> holds <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="borsuk_2.html#K1">+</a> <font color="Olive">b<sub>2</sub></font></span>)</span> <a href="borsuk_2.html#K1">+</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="borsuk_2.html#K1">+</a> <font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>1</sub></font> <a href="borsuk_2.html#K1">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive">b<sub>2</sub></font> <a href="borsuk_2.html#K1">+</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="borsuk_2.html#K1">+</a> <font color="Olive">b<sub>4</sub></font></span>)</span> <a href="borsuk_2.html#R4">are_homotopic</a> 
 <b>by </b><i><a class="ref" href="topalg_1.html#T34" target="_self">Th34</a></i>;<br/>


</div>
