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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: GRCAT_1:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font>, <font color="Olive" title="b2">H</font> being   <a href="vectsp_1.html#NM1" title="VECTSP_1:NM.1">AddGroup</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">strict</a>   <a href="grcat_1.html#L1" title="GRCAT_1:struct.1">GroupMorphismStr</a>   st  <a href="grcat_1.html#K7" title="GRCAT_1:func.7">dom</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G</font> &amp;  <a href="grcat_1.html#K8" title="GRCAT_1:func.8">cod</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> &amp;  <a href="grcat_1.html#K9" title="GRCAT_1:func.9">fun</a> <font color="Olive" title="b3">f</font> is  <a href="vectsp_1.html#V13" title="VECTSP_1:attr.13">additive</a>  holds <br/><font color="Olive" title="b3">f</font> is   <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">strict</a>   <a href="grcat_1.html#M1" title="GRCAT_1:mode.1">Morphism</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font></div></div>
