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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: YELLOW_4:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a>   <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>   <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">D1</font>, <font color="Olive" title="b3">D2</font>, <font color="Olive" title="b4">D3</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">D1</font> <a href="yellow_4.html#K4" title="YELLOW_4:func.4">"/\"</a> <font color="Olive" title="b3">D2</font></span>)</span> <a href="yellow_4.html#K4" title="YELLOW_4:func.4">"/\"</a> <font color="Olive" title="b4">D3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">D1</font> <a href="yellow_4.html#K4" title="YELLOW_4:func.4">"/\"</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">D2</font> <a href="yellow_4.html#K4" title="YELLOW_4:func.4">"/\"</a> <font color="Olive" title="b4">D3</font></span>)</span></div></div>
