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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th4</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: BAGORD_2:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being    <a href="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a> <br/>  for <font color="Olive" title="b2">M1</font>, <font color="Olive" title="b3">M2</font> being   <a href="bagord_2.html#V2" title="BAGORD_2:attr.2">strict</a>   <a href="bagord_2.html#M1" title="BAGORD_2:mode.1">RelExtension</a> of <font color="Olive" title="b1">N</font>  st (  for <font color="Olive" title="b4">m</font>, <font color="Olive" title="b5">n</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">M1</font><br/>  for <font color="Olive" title="b6">x</font>, <font color="Olive" title="b7">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b3">M2</font>  st <font color="Olive" title="b4">m</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">x</font> &amp; <font color="Olive" title="b5">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">y</font> holds <br/>( <font color="Olive" title="b4">m</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b5">n</font> iff <font color="Olive" title="b6">x</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b7">y</font> ) ) holds <br/><font color="Olive" title="b2">M1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">M2</font></div></div>
