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<b>let </b><font color="Maroon">c<sub>5</sub></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">c<sub>6</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>7</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>5</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>8</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>6</sub></font>;<br/>







<b>given </b><font color="Maroon">c<sub>9</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font><b> such that </b><a NAME="E1:41"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>9</sub></font> is <a href="tops_2.html#V3">being_homeomorphism</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="t_0topsp.html#D1">T_0TOPSP:def 1</a><br/>

<b>reconsider </b><font color="Maroon">c<sub>10</sub></font> = <font color="Maroon">c<sub>9</sub></font> as  <a href="pre_topc.html#V5">continuous</a> <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <b>by </b><i><a class="txt" href="topalg_3.html#E1:41"><i><font color="Green">E17</font></i></a>, <a class="ref" href="tops_2.html#D5">TOPS_2:def 5</a></i>;<br/>
<a NAME="E3:41"/><i><font color="Green">E18</font></i>: 
 <a href="topalg_3.html#K2" target="_self">FundGrIso</a> <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 
<b>by </b><i><a class="txt" href="topalg_3.html#E1:41"><i><font color="Green">E17</font></i></a>, <a class="ref" href="topalg_3.html#T33" target="_self">Th33</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>11</sub></font> being    <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>10</sub></font> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>7</sub></font>;<br/>
<b>take </b>
<span class="p1">(<span class="default"><a href="topalg_1.html#K5">pi_1-iso</a> <font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="group_6.html#K8">*</a> <span class="p1">(<span class="default"><a href="topalg_3.html#K2" target="_self">FundGrIso</a> <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>7</sub></font></span>)</span>
; <i><font color="Red">:: according to </font></i><a class="ref" href="group_6.html#D15">GROUP_6:def 15</a><br/>

<a NAME="E5:41"/>
 <a href="topalg_1.html#K5">pi_1-iso</a> <font color="Maroon">c<sub>11</sub></font> <a href="group_6.html#NR3" target="_self">is_isomorphism</a> 
 
<b>by </b><i><a class="ref" href="topalg_1.html#T57">TOPALG_1:57</a></i>;<br/>
<b>hence </b><a NAME="E6:41"/>
<span class="p1">(<span class="default"><a href="topalg_1.html#K5">pi_1-iso</a> <font color="Maroon">c<sub>11</sub></font></span>)</span> <a href="group_6.html#K8">*</a> <span class="p1">(<span class="default"><a href="topalg_3.html#K2" target="_self">FundGrIso</a> <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>7</sub></font></span>)</span> is <a href="group_6.html#V4">being_isomorphism</a>
 <b>by </b><i><a class="txt" href="topalg_3.html#E3:41"><i><font color="Green">E18</font></i></a>, <a class="ref" href="group_6.html#T74">GROUP_6:74</a></i>;<br/>


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