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<b>let </b><font color="Maroon">G</font> be   <a href="mod_1.html#NM1">AddGroup</a>;<br/><b>let </b><font color="Maroon">H</font> be   <a href="mod_1.html#NM1">AddGroup</a>;<br/><b>let </b><font color="Maroon">f</font> be  <a href="grcat_1.html#V2" target="_self">strict</a>  <a href="grcat_1.html#L1" target="_self">GroupMorphismStr</a> ;<br/>





<b>assume </b><a NAME="E1:35"/><i><font color="Green">E29</font></i>: 
(  <a href="grcat_1.html#K9" target="_self">dom</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G</font> &amp;  <a href="grcat_1.html#K10" target="_self">cod</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> &amp;  <a href="grcat_1.html#K11" target="_self">fun</a> <font color="Maroon">f</font> is <a href="grcat_1.html#V1" target="_self">additive</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">f'</font> = <font color="Maroon">f</font> as  <a href="grcat_1.html#V2" target="_self">strict</a> <a href="grcat_1.html#NM1">GroupMorphism</a> <b>by </b><i/>;<br/>
<a NAME="E3:35"/>
<font color="Maroon">f'</font> is  <a href="grcat_1.html#V2" target="_self">strict</a>  <a href="grcat_1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:35"/>
<font color="Maroon">f</font> is  <a href="grcat_1.html#V2" target="_self">strict</a>  <a href="grcat_1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font>
 ;<br/>


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