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<b>let </b><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> be   <a href="vectsp_1.html#NM1" title="VECTSP_1:NM.1">AddGroup</a>;<br/><b>let </b><font color="Maroon" title="c3">f</font> be  <a href="grcat_1.html#V2" title="GRCAT_1:attr.2">strict</a>  <a href="grcat_1.html#L1" title="GRCAT_1:struct.1">GroupMorphismStr</a> ;<br/>





<b>assume </b><a NAME="E1:31"/><i><font color="Green" title="E15">A1</font></i>: 
(  <a href="grcat_1.html#K8" title="GRCAT_1:func.8">dom</a> <font color="Maroon" title="c3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">G</font> &amp;  <a href="grcat_1.html#K9" title="GRCAT_1:func.9">cod</a> <font color="Maroon" title="c3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">H</font> &amp;  <a href="grcat_1.html#K10" title="GRCAT_1:func.10">fun</a> <font color="Maroon" title="c3">f</font> is <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">additive</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c4">f'</font> = <font color="Maroon" title="c3">f</font> as  <a href="grcat_1.html#V2" title="GRCAT_1:attr.2">strict</a> <a href="grcat_1.html#NM1" title="GRCAT_1:NM.1">GroupMorphism</a> <b>by </b><i><a class="ref" href="grcat_1.html#D18" target="_self" title="GRCAT_1:def.18">Def18</a></i>;<br/>
<a NAME="E3:31"/>
<font color="Maroon" title="c4">f'</font> is  <a href="grcat_1.html#V2" title="GRCAT_1:attr.2">strict</a>  <a href="grcat_1.html#M1" title="GRCAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>
 
<b>by </b><i><a class="txt" href="grcat_1.html#E1:31"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="grcat_1.html#D19" target="_self" title="GRCAT_1:def.19">Def19</a></i>;<br/>
<b>hence </b><a NAME="E4:31"/>
<font color="Maroon" title="c3">f</font> is  <a href="grcat_1.html#V2" title="GRCAT_1:attr.2">strict</a>  <a href="grcat_1.html#M1" title="GRCAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>
 ;<br/>


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