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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E21">Def10</font></span>   defines <a href="waybel11.html#K3" title="WAYBEL11:func.3">Net-Str</a> <a onclick="hs(this)" href="javascript:()">WAYBEL11:def 10 : <br/></a><span> for <font color="Olive" title="b1">R</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> <br/>  for <font color="Olive" title="b2">S</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> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b2">S</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="waybel_0.html#V6" title="WAYBEL_0:attr.6">strict</a>   <a href="waybel_0.html#L1" title="WAYBEL_0:struct.1">NetStr</a> over <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel11.html#K3" title="WAYBEL11:func.3">Net-Str</a> (<font color="Olive" title="b2">S</font>,<font color="Olive" title="b3">f</font>) iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">S</font> &amp;  the <a href="waybel_0.html#U1" title="WAYBEL_0:sel.1">mapping</a> of <font color="Olive">b<sub>4</sub></font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b3">f</font> &amp; (  for <font color="Olive" title="b5">i</font>, <font color="Olive" title="b6">j</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive">b<sub>4</sub></font> holds <br/> ( <font color="Olive" title="b5">i</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b6">j</font> iff <font color="Olive">b<sub>4</sub></font> <a href="waybel_0.html#K2" title="WAYBEL_0:func.2">.</a> <font color="Olive" title="b5">i</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive">b<sub>4</sub></font> <a href="waybel_0.html#K2" title="WAYBEL_0:func.2">.</a> <font color="Olive" title="b6">j</font> ) ) ) );<br/></span></div>
