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<b>consider </b><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> being   <a href="algstr_1.html#NM2" title="ALGSTR_1:NM.2">AddGroup</a>;<br/>
<b>set </b><font color="Maroon" title="c3">z</font> =  <a href="grcat_1.html#K11" title="GRCAT_1:func.11">ZERO</a> <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font>;<br/>
<a NAME="E2:25_1_1"/>
 <a href="grcat_1.html#K10" title="GRCAT_1:func.10">fun</a> <span class="p1">(<span class="default"><a href="grcat_1.html#K11" title="GRCAT_1:func.11">ZERO</a> <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font></span>)</span> is <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">additive</a>
 
<b>by </b><i><a class="ref" href="grcat_1.html#T16" target="_self" title="GRCAT_1:th.16">Th16</a></i>;<br/>
<a NAME="E3:25_1_1"/><b>then </b>
 <a href="grcat_1.html#K11" title="GRCAT_1:func.11">ZERO</a> <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">H</font> is <a href="grcat_1.html#V3" title="GRCAT_1:attr.3">GroupMorphism-like</a>
 
<b>by </b><i><a class="ref" href="grcat_1.html#D18" target="_self" title="GRCAT_1:def.18">Def18</a></i>;<br/>
<b>hence </b><a NAME="E4:25_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="grcat_1.html#L1" title="GRCAT_1:struct.1">GroupMorphismStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="grcat_1.html#V2" title="GRCAT_1:attr.2">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="grcat_1.html#V3" title="GRCAT_1:attr.3">GroupMorphism-like</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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