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<b>let </b><font color="Maroon" title="c1">Gc</font> be  <a href="gr_cy_1.html#V1" title="GR_CY_1:attr.1">cyclic</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/><b>let </b><font color="Maroon" title="c2">g</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">Gc</font>;<br/>



<b>assume </b><a NAME="E1:21"/><i><font color="Green" title="E17">A1</font></i>: 
<font color="Maroon" title="c1">Gc</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_4.html#K5" title="GROUP_4:func.5">gr</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c2">g</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/><b>let </b><font color="Maroon" title="c4">f</font> be   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Maroon" title="c3">G</font>,<font color="Maroon" title="c1">Gc</font>;<br/>



<b>assume </b><a NAME="E2:21"/>
<font color="Maroon" title="c2">g</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a>  <a href="group_6.html#K11" title="GROUP_6:func.11">Image</a> <font color="Maroon" title="c4">f</font>
 ;<br/>

<a NAME="E3:21"/><b>then </b>
 <a href="group_6.html#K11" title="GROUP_6:func.11">Image</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">Gc</font>
 
<b>by </b><i><a class="txt" href="gr_cy_2.html#E1:21"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="gr_cy_2.html#T19" target="_self" title="GR_CY_2:th.19">Th19</a></i>;<br/>
<b>hence </b><a NAME="E4:21"/>
<font color="Maroon" title="c4">f</font> <a href="group_6.html#NR2" title="GROUP_6:NR.2">is_epimorphism</a> 
 <b>by </b><i><a class="ref" href="group_6.html#T67" title="GROUP_6:th.67">GROUP_6:67</a></i>;<br/>


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