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<b>let </b><font color="Maroon" title="c1">n</font> be   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>;<br/><b>let </b><font color="Maroon" title="c2">T</font> be  <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="Maroon" title="c1">n</font>;<br/><b>let </b><font color="Maroon" title="c3">L</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">add-associative</a> <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">right_zeroed</a> <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">right_complementable</a>  <a href="rlvect_1.html#L1" title="RLVECT_1:struct.1">LoopStr</a> ;<br/><b>let </b><font color="Maroon" title="c4">p</font> be   <a href="polynom1.html#NM4" title="POLYNOM1:NM.4">Polynomial</a> of <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c3">L</font>;<br/><b>let </b><font color="Maroon" title="c5">i</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>









<b>assume </b><a NAME="E1:33"/><i><font color="Green" title="E27">A1</font></i>: 
<font color="Maroon" title="c5">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <font color="Maroon" title="c4">p</font></span>)</span>
 ;<br/>

<b>set </b><font color="Maroon" title="c6">u</font> =  <a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font>;<br/>
<b>set </b><font color="Maroon" title="c7">pu</font> = <font color="Maroon" title="c4">p</font> <a href="groeb_3.html#K2" title="GROEB_3:func.2">|</a> <span class="p1">(<span class="default"><a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span>;<br/>
<a NAME="E2:33"/><i><font color="Green" title="E28">A2</font></i>: 
 <a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">p</font> <a href="groeb_3.html#K2" title="GROEB_3:func.2">|</a> <span class="p2">(<span class="default"><a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <font color="Maroon" title="c4">p</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span>
 
<b>by </b><i><a class="ref" href="groeb_3.html#T16" target="_self" title="GROEB_3:th.16">Th16</a></i>;<br/>
<a NAME="E3:33"/>
 <a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <font color="Maroon" title="c4">p</font>
 
<b>by </b><i><a class="txt" href="groeb_3.html#E1:33"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="groeb_3.html#D2" target="_self" title="GROEB_3:def.2">Def2</a></i>;<br/>
<b>hence </b><a NAME="E4:33"/>
 <a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">p</font> <a href="groeb_3.html#K2" title="GROEB_3:func.2">|</a> <span class="p2">(<span class="default"><a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="groeb_3.html#K3" title="GROEB_3:func.3">Upper_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E2:33"><i><font color="Green" title="E28">A2</font></i></a>, <a class="ref" href="xboole_1.html#T28" title="XBOOLE_1:th.28">XBOOLE_1:28</a></i>;<br/>

<b>set </b><font color="Maroon" title="c8">l</font> =  <a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font>;<br/>
<b>set </b><font color="Maroon" title="c9">pl</font> = <font color="Maroon" title="c4">p</font> <a href="groeb_3.html#K2" title="GROEB_3:func.2">|</a> <span class="p1">(<span class="default"><a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span>;<br/>
<a NAME="E5:33"/><i><font color="Green" title="E29">A3</font></i>: 
 <a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">p</font> <a href="groeb_3.html#K2" title="GROEB_3:func.2">|</a> <span class="p2">(<span class="default"><a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <font color="Maroon" title="c4">p</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span>
 
<b>by </b><i><a class="ref" href="groeb_3.html#T16" target="_self" title="GROEB_3:th.16">Th16</a></i>;<br/>
<a NAME="E6:33"/>
 <a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <font color="Maroon" title="c4">p</font>
 
<b>by </b><i><a class="txt" href="groeb_3.html#E1:33"><i><font color="Green" title="E27">A1</font></i></a>, <a class="txt" href="groeb_3.html#E24"><i><font color="Green" title="E20">Lm3</font></i></a></i>;<br/>
<b>hence </b><a NAME="E7:33"/>
 <a href="polynom1.html#K12" title="POLYNOM1:func.12">Support</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">p</font> <a href="groeb_3.html#K2" title="GROEB_3:func.2">|</a> <span class="p2">(<span class="default"><a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="groeb_3.html#K4" title="GROEB_3:func.4">Lower_Support</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c5">i</font>
 <b>by </b><i><a class="txt" href="groeb_3.html#E5:33"><i><font color="Green" title="E29">A3</font></i></a>, <a class="ref" href="xboole_1.html#T28" title="XBOOLE_1:th.28">XBOOLE_1:28</a></i>;<br/>


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