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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: ALTCAT_6:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st (  for <font color="Olive" title="b2">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">A</font> being   <a href="altcat_5.html#NM1" title="ALTCAT_5:NM.1">ObjectsFamily</a> of <font color="Olive" title="b2">I</font>,<span class="p1">(<span class="default"><a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <font color="Olive" title="b1">E</font></span>)</span> holds   <a href="card_3.html#K3" title="CARD_3:func.3">Union</a> <span class="p1">(<span class="default"><a href="msafree.html#K3" title="MSAFREE:func.3">coprod</a> <font color="Olive" title="b3">A</font></span>)</span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">E</font> ) holds <br/> <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <font color="Olive" title="b1">E</font> is  <a href="altcat_6.html#V3" title="ALTCAT_6:attr.3">with_coproducts</a> </div></div>
