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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E3">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: WAYBEL33:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a>   st  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">L1</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">L2</font> holds <br/> for <font color="Olive" title="b3">N1</font> being    <a href="waybel_0.html#L1" title="WAYBEL_0:struct.1">NetStr</a> over <font color="Olive" title="b1">L1</font>  st <font color="Olive" title="b3">N1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow_6.html#K5" title="YELLOW_6:func.5">NetUniv</a> <font color="Olive" title="b1">L1</font> holds <br/> ex <font color="Olive" title="b4">N2</font> being   <a href="waybel_0.html#V6" title="WAYBEL_0:attr.6">strict</a>  <a href="waybel_0.html#NM2" title="WAYBEL_0:NM.2">net</a> of <font color="Olive" title="b2">L2</font> st <br/>( <font color="Olive" title="b4">N2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow_6.html#K5" title="YELLOW_6:func.5">NetUniv</a> <font color="Olive" title="b2">L2</font> &amp;  <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">N1</font>, the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b3">N1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b4">N2</font>, the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b4">N2</font> #) &amp;  the <a href="waybel_0.html#U1" title="WAYBEL_0:sel.1">mapping</a> of <font color="Olive" title="b3">N1</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  the <a href="waybel_0.html#U1" title="WAYBEL_0:sel.1">mapping</a> of <font color="Olive" title="b4">N2</font> )</div></div>
