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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: ALTCAT_3:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a><br/>  for <font color="Olive" title="b2">o1</font>, <font color="Olive" title="b3">o2</font>, <font color="Olive" title="b4">o3</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font>  st <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Olive" title="b2">o1</font>,<font color="Olive" title="b3">o2</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Olive" title="b3">o2</font>,<font color="Olive" title="b4">o3</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Olive" title="b4">o3</font>,<font color="Olive" title="b2">o1</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> for <font color="Olive" title="b5">A</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b2">o1</font>,<font color="Olive" title="b3">o2</font><br/>  for <font color="Olive" title="b6">B</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b3">o2</font>,<font color="Olive" title="b4">o3</font>  st <font color="Olive" title="b5">A</font> is  <a href="altcat_3.html#V1" title="ALTCAT_3:attr.1">retraction</a>  &amp; <font color="Olive" title="b6">B</font> is  <a href="altcat_3.html#V1" title="ALTCAT_3:attr.1">retraction</a>  holds <br/><font color="Olive" title="b6">B</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Olive" title="b5">A</font> is  <a href="altcat_3.html#V1" title="ALTCAT_3:attr.1">retraction</a> </div></div>
