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<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: ROUGHS_3:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R1</font>, <font color="Olive" title="b2">R2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>   st  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">R2</font> &amp;  <a href="roughs_2.html#K4" title="ROUGHS_2:func.4">UAp</a> <font color="Olive" title="b1">R1</font> <a href="altcat_2.html#R2" title="ALTCAT_2:pred.2">cc=</a>  <a href="roughs_2.html#K4" title="ROUGHS_2:func.4">UAp</a> <font color="Olive" title="b2">R2</font> holds <br/> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">R1</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a>  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b2">R2</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="roughs_3.html#E26"><span class="lab"><font color="Green" title="E22">Prop17A</font></span></a></span>;<br/></div></div>
