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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: GROEB_1:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b2">T</font> being   <a href="relat_2.html#V6" title="RELAT_2:attr.6">connected</a>   <a href="bagorder.html#V2" title="BAGORDER:attr.2">admissible</a>  <a href="bagorder.html#NM1" title="BAGORDER:NM.1">TermOrder</a> of <font color="Olive" title="b1">n</font><br/>  for <font color="Olive" title="b3">L</font> being   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a>   <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b4">p</font>, <font color="Olive" title="b5">q</font> being   <a href="polynom1.html#NM2" title="POLYNOM1:NM.2">Polynomial</a> of <font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">L</font> holds   <a href="termord.html#K3" title="TERMORD:func.3">HT</a> (<span class="p1">(<span class="default"><font color="Olive" title="b4">p</font> <a href="polynom1.html#K7" title="POLYNOM1:func.7">-</a> <font color="Olive" title="b5">q</font></span>)</span>,<font color="Olive" title="b2">T</font>) <a href="termord.html#R1" title="TERMORD:pred.1">&lt;=</a>  <a href="termord.html#K2" title="TERMORD:func.2">max</a> (<span class="p1">(<span class="default"><a href="termord.html#K3" title="TERMORD:func.3">HT</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b2">T</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="termord.html#K3" title="TERMORD:func.3">HT</a> (<font color="Olive" title="b5">q</font>,<font color="Olive" title="b2">T</font>)</span>)</span>,<font color="Olive" title="b2">T</font>),<font color="Olive" title="b2">T</font></div></div>
