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<div><span class="kw">theorem </span><a NAME="T22"><span class="comment"><font color="firebrick">:: CAT_4:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   <a href="cat_4.html#NM1" title="CAT_4:NM.1">Cartesian_category</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font>  st  <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) <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;  <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b3">b</font>,<font color="Olive" title="b2">a</font>) <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/>(  <a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) is  <a href="cat_3.html#V1" title="CAT_3:attr.1">retraction</a>  &amp;  <a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) is  <a href="cat_3.html#V1" title="CAT_3:attr.1">retraction</a>  )</div></div>
