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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">Th34</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: GRCAT_1:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">UN</font> being   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K25" title="GRCAT_1:func.25">GroupCat</a> <font color="Olive" title="b1">UN</font></span>)</span><br/>  for <font color="Olive" title="b3">f9</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> <span class="p1">(<span class="default"><a href="grcat_1.html#K17" title="GRCAT_1:func.17">GroupObjects</a> <font color="Olive" title="b1">UN</font></span>)</span><br/>  for <font color="Olive" title="b4">b</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K25" title="GRCAT_1:func.25">GroupCat</a> <font color="Olive" title="b1">UN</font></span>)</span><br/>  for <font color="Olive" title="b5">b9</font> being    <a href="grcat_1.html#M2" title="GRCAT_1:mode.2">Element</a> of  <a href="grcat_1.html#K17" title="GRCAT_1:func.17">GroupObjects</a> <font color="Olive" title="b1">UN</font> holds <br/> ( <font color="Olive" title="b2">f</font> is   <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">strict</a>   <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> <span class="p1">(<span class="default"><a href="grcat_1.html#K17" title="GRCAT_1:func.17">GroupObjects</a> <font color="Olive" title="b1">UN</font></span>)</span> &amp; <font color="Olive" title="b3">f9</font> is   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K25" title="GRCAT_1:func.25">GroupCat</a> <font color="Olive" title="b1">UN</font></span>)</span> &amp; <font color="Olive" title="b4">b</font> is   <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  <a href="grcat_1.html#K17" title="GRCAT_1:func.17">GroupObjects</a> <font color="Olive" title="b1">UN</font> &amp; <font color="Olive" title="b5">b9</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="grcat_1.html#K25" title="GRCAT_1:func.25">GroupCat</a> <font color="Olive" title="b1">UN</font></span>)</span> )</div></div>
