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<span class="kw">consider </span><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> being   <a href="vectsp_1.html#NM1" title="VECTSP_1:NM.1">AddGroup</a>;<br/>
<span class="kw">set </span><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="E2:32_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> 
 
;<br/>
<a NAME="E3:32_1_1"/><span class="kw">then </span>
 <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> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="grcat_1.html#D18" target="_self" title="GRCAT_1:def.18">Def18</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:32_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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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