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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: ORDERS_4:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being   <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b3">A1</font>, <font color="Olive" title="b4">B1</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L1</font>  st <font color="Olive" title="b3">A1</font>,<font color="Olive" title="b4">B1</font> <a href="orders_4.html#R1" title="ORDERS_4:pred.1">form_upper_lower_partition_of</a> <font color="Olive" title="b1">L1</font> holds <br/> for <font color="Olive" title="b5">A2</font>, <font color="Olive" title="b6">B2</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">L2</font>  st <font color="Olive" title="b5">A2</font>,<font color="Olive" title="b6">B2</font> <a href="orders_4.html#R1" title="ORDERS_4:pred.1">form_upper_lower_partition_of</a> <font color="Olive" title="b2">L2</font> holds <br/> for <font color="Olive" title="b7">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b3">A1</font></span>)</span>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b5">A2</font></span>)</span>  st <font color="Olive" title="b7">f</font> is  <a href="waybel_0.html#V23" title="WAYBEL_0:attr.23">isomorphic</a>  holds <br/> for <font color="Olive" title="b8">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b4">B1</font></span>)</span>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b6">B2</font></span>)</span>  st <font color="Olive" title="b8">g</font> is  <a href="waybel_0.html#V23" title="WAYBEL_0:attr.23">isomorphic</a>  holds <br/> ex <font color="Olive" title="b9">h</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">L1</font>,<font color="Olive" title="b2">L2</font> st <br/>( <font color="Olive" title="b9">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">f</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b8">g</font> &amp; <font color="Olive" title="b9">h</font> is  <a href="waybel_0.html#V23" title="WAYBEL_0:attr.23">isomorphic</a>  )</div></div>
