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<div><span class="kw">theorem </span><a NAME="T8"><span class="comment"><font color="firebrick">:: YELLOW18:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="altcat_1.html#L2" title="ALTCAT_1:struct.2">AltCatStr</a>   st <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font> <a href="yellow18.html#R2" title="YELLOW18:pred.2">are_opposite</a>  holds <br/> for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b5">a9</font>, <font color="Olive" title="b6">b9</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b2">B</font>  st <font color="Olive" title="b5">a9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> &amp; <font color="Olive" title="b6">b9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">b</font> holds <br/> for <font color="Olive" title="b7">f</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font> holds  <font color="Olive" title="b7">f</font> is   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b6">b9</font>,<font color="Olive" title="b5">a9</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="yellow18.html#T7" target="_self" onmouseover="rs('yellow18/T7')" onmouseout="rh()">Th7</a></span>;<br/></div></div>
