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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th28</font></span>: <a NAME="T28"><span class="comment"><font color="firebrick">:: GROEB_1:28</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#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="algstr_0.html#V33" title="ALGSTR_0:attr.33">almost_left_invertible</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="group_1.html#V3" title="GROUP_1:attr.3">associative</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b4">G</font>, <font color="Olive" title="b5">I</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K12" title="POLYNOM1:func.12">Polynom-Ring</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">L</font>)</span>)</span>  st (  for <font color="Olive" title="b6">b</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of <font color="Olive" title="b1">n</font>  st <font color="Olive" title="b6">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="groeb_1.html#K2" title="GROEB_1:func.2">HT</a> (<font color="Olive" title="b5">I</font>,<font color="Olive" title="b2">T</font>) holds <br/> ex <font color="Olive" title="b7">b9</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of <font color="Olive" title="b1">n</font> st <br/>( <font color="Olive" title="b7">b9</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="groeb_1.html#K2" title="GROEB_1:func.2">HT</a> (<font color="Olive" title="b4">G</font>,<font color="Olive" title="b2">T</font>) &amp; <font color="Olive" title="b7">b9</font> <a href="pre_poly.html#R3" title="PRE_POLY:pred.3">divides</a> <font color="Olive" title="b6">b</font> ) ) holds <br/> <a href="groeb_1.html#K2" title="GROEB_1:func.2">HT</a> (<font color="Olive" title="b5">I</font>,<font color="Olive" title="b2">T</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="groeb_1.html#K3" title="GROEB_1:func.3">multiples</a> <span class="p1">(<span class="default"><a href="groeb_1.html#K2" title="GROEB_1:func.2">HT</a> (<font color="Olive" title="b4">G</font>,<font color="Olive" title="b2">T</font>)</span>)</span></div></div>
