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<b>let </b><font color="Maroon" title="c4">IT1</font>, <font color="Maroon" title="c5">IT2</font> be   <a href="group_9.html#NM4" title="GROUP_9:NM.4">Homomorphism</a> of <font color="Maroon" title="c2">G</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">G</font> <a href="group_9.html#K10" title="GROUP_9:func.10">./.</a> <font color="Maroon" title="c3">N</font></span>)</span>;<br/>

<b>assume </b><a NAME="E1:53_1_2"/><i><font color="Green" title="E33">A11</font></i>: 
for <font color="Olive" title="b1">H</font> being <a href="group_1.html#V1" title="GROUP_1:attr.1">strict</a> <a href="group_3.html#V1" title="GROUP_3:attr.1">normal</a>  <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c2">G</font>  st <font color="Olive" title="b1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1.html#G1" title="GROUP_1:aggr.1">HGrStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">N</font>,the <a href="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c3">N</font> #) holds <br/><font color="Maroon" title="c4">IT1</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="group_6.html#K10" title="GROUP_6:func.10">nat_hom</a> <font color="Olive" title="b1">H</font>
 ;<br/>

<b>assume </b><a NAME="E2:53_1_2"/><i><font color="Green" title="E34">A12</font></i>: 
for <font color="Olive" title="b1">H</font> being <a href="group_1.html#V1" title="GROUP_1:attr.1">strict</a> <a href="group_3.html#V1" title="GROUP_3:attr.1">normal</a>  <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c2">G</font>  st <font color="Olive" title="b1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1.html#G1" title="GROUP_1:aggr.1">HGrStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">N</font>,the <a href="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c3">N</font> #) holds <br/><font color="Maroon" title="c5">IT2</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="group_6.html#K10" title="GROUP_6:func.10">nat_hom</a> <font color="Olive" title="b1">H</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c6">H</font> =  <a href="group_1.html#G1" title="GROUP_1:aggr.1">HGrStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">N</font>,the <a href="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c3">N</font> #) as  <a href="group_1.html#V1" title="GROUP_1:attr.1">strict</a> <a href="group_3.html#V1" title="GROUP_3:attr.1">normal</a>  <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c2">G</font> <b>by </b><i><a class="txt" href="group_9.html#E20"><i><font color="Green" title="E19">Lm7</font></i></a></i>;<br/>
<a NAME="E4:53_1_2"/>
( <font color="Maroon" title="c4">IT1</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="group_6.html#K10" title="GROUP_6:func.10">nat_hom</a> <font color="Maroon" title="c6">H</font> &amp; <font color="Maroon" title="c5">IT2</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="group_6.html#K10" title="GROUP_6:func.10">nat_hom</a> <font color="Maroon" title="c6">H</font> )
 
<b>by </b><i><a class="txt" href="group_9.html#E1:53_1_2"><i><font color="Green" title="E33">A11</font></i></a>, <a class="txt" href="group_9.html#E2:53_1_2"><i><font color="Green" title="E34">A12</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:53_1_2"/>
<font color="Maroon" title="c4">IT1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">IT2</font>
 ;<br/>


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