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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E37">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: GRCAT_1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="grcat_1.html#NM3" title="GRCAT_1:NM.3">Group_DOMAIN</a><br/>  for <font color="Olive" title="b2">g</font>, <font color="Olive" title="b3">f</font> being    <a href="grcat_1.html#M3" title="GRCAT_1:mode.3">Element</a> of  <a href="grcat_1.html#K18" title="GRCAT_1:func.18">Morphs</a> <font color="Olive" title="b1">V</font>  st  <a href="grcat_1.html#K19" title="GRCAT_1:func.19">dom</a> <font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grcat_1.html#K20" title="GRCAT_1:func.20">cod</a> <font color="Olive" title="b3">f</font> holds <br/> ex <font color="Olive" title="b4">G1</font>, <font color="Olive" title="b5">G2</font>, <font color="Olive" title="b6">G3</font> being   <a href="algstr_0.html#V8" title="ALGSTR_0:attr.8">strict</a>   <a href="grcat_1.html#M2" title="GRCAT_1:mode.2">Element</a> of <font color="Olive" title="b1">V</font> st <br/>( <font color="Olive" title="b2">g</font> is    <a href="grcat_1.html#M1" title="GRCAT_1:mode.1">Morphism</a> of <font color="Olive" title="b5">G2</font>,<font color="Olive" title="b6">G3</font> &amp; <font color="Olive" title="b3">f</font> is    <a href="grcat_1.html#M1" title="GRCAT_1:mode.1">Morphism</a> of <font color="Olive" title="b4">G1</font>,<font color="Olive" title="b5">G2</font> )</div></div>
