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<b>let </b><font color="Maroon">X</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">x0</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">x1</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X</font>;<br/>





<b>assume </b><a NAME="E1:72"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">x0</font>,<font color="Maroon">x1</font> <a href="borsuk_6.html#R1">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">x1</font>,<font color="Maroon">x0</font>;<br/>
<b>reconsider </b><font color="Maroon">h</font> =  <a href="topalg_1.html#K4" target="_self">pi_1-iso</a> <font color="Maroon">P</font> as   <a href="group_6.html#NM2">Homomorphism</a> of <span class="p1">(<span class="default"><a href="topalg_1.html#NK4" target="_self">pi_1</a> <font color="Maroon">X</font>,<font color="Maroon">x0</font></span>)</span>,<span class="p1">(<span class="default"><a href="topalg_1.html#NK4" target="_self">pi_1</a> <font color="Maroon">X</font>,<font color="Maroon">x1</font></span>)</span> <b>by </b><i>, </i>;<br/>
<b>take </b>
<font color="Maroon">h</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="group_6.html#D15">GROUP_6:def 15</a><br/>

<b>thus </b><a NAME="E4:72"/>
<font color="Maroon">h</font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 <b>by </b><i>, </i>;<br/>


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