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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th1</font></span>: <a NAME="T1"><span class="comment"><font color="firebrick">:: MSALIMIT:1</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b2">i</font>, <font color="Olive" title="b3">j</font>, <font color="Olive" title="b4">k</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">P</font><br/>  for <font color="Olive" title="b5">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b6">OAF</font> being    <a href="msalimit.html#M1" title="MSALIMIT:mode.1">OrderedAlgFam</a> of <font color="Olive" title="b1">P</font>,<font color="Olive" title="b5">S</font><br/>  for <font color="Olive" title="b7">B</font> being    <a href="msalimit.html#M2" title="MSALIMIT:mode.2">Binding</a> of <font color="Olive" title="b6">OAF</font>  st <font color="Olive" title="b2">i</font> <a href="orders_2.html#NR2" title="ORDERS_2:NR.2">&gt;=</a> <font color="Olive" title="b3">j</font> &amp; <font color="Olive" title="b3">j</font> <a href="orders_2.html#NR2" title="ORDERS_2:NR.2">&gt;=</a> <font color="Olive" title="b4">k</font> holds <br/><span class="p1">(<span class="default"><a href="msalimit.html#K1" title="MSALIMIT:func.1">bind</a> (<font color="Olive" title="b7">B</font>,<font color="Olive" title="b3">j</font>,<font color="Olive" title="b4">k</font>)</span>)</span> <a href="msualg_3.html#K3" title="MSUALG_3:func.3">**</a> <span class="p1">(<span class="default"><a href="msalimit.html#K1" title="MSALIMIT:func.1">bind</a> (<font color="Olive" title="b7">B</font>,<font color="Olive" title="b2">i</font>,<font color="Olive" title="b3">j</font>)</span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  <a href="msalimit.html#K1" title="MSALIMIT:func.1">bind</a> (<font color="Olive" title="b7">B</font>,<font color="Olive" title="b2">i</font>,<font color="Olive" title="b4">k</font>)</div></div>
