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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be  <a href="group_1.html#V1">strict</a> <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="group_6.html#NM2">Homomorphism</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="group_1.html#V1">strict</a>  <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<a NAME="E1:13"/><i><font color="Green">E7</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>4</sub></font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="group_2.html#D5">GROUP_2:def 5</a></i>;<br/>
<i><font color="Green">E8</font></i>: the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_6.html#K12">Image</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="grsolv_1.html#K1" target="_self">|</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> = 
 <a href="relset_1.html#K5">rng</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="grsolv_1.html#K1" target="_self">|</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="group_6.html#T53">GROUP_6:53</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="relset_1.html#K10">.:</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="grsolv_1.html#T8" target="_self">Th8</a></i>
;<br/>
<a NAME="E3:13"/>
<font color="Maroon">c<sub>3</sub></font> <a href="relset_1.html#K10">.:</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_6.html#K12">Image</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="group_6.html#D11">GROUP_6:def 11</a></i>;<br/>
<a NAME="E4:13"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_6.html#K12">Image</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="grsolv_1.html#K1" target="_self">|</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_6.html#K12">Image</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="grsolv_1.html#E1:13"><i><font color="Green">E7</font></i></a>, <a class="txt" href="grsolv_1.html#E2:13"><i><font color="Green">E8</font></i></a>, <a class="ref" href="relat_1.html#T156">RELAT_1:156</a></i>;<br/>
<b>hence </b><a NAME="E5:13"/>
 <a href="group_6.html#K12">Image</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="grsolv_1.html#K1" target="_self">|</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> is  <a href="group_1.html#V1">strict</a>  <a href="group_6.html#M1">Subgroup</a> of  <a href="group_6.html#K12">Image</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="group_2.html#T66">GROUP_2:66</a></i>;<br/>


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