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<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: ROUGHS_3:54</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> holds <br/>(  <a href="roughs_2.html#K3" title="ROUGHS_2:func.3">LAp</a> <font color="Olive" title="b1">R1</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="roughs_2.html#K3" title="ROUGHS_2:func.3">LAp</a> <font color="Olive" title="b2">R2</font> iff  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">R1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b2">R2</font> )</div></div>
