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<b>set </b><font color="Maroon" title="c3">Pm</font> =  <a href="polynom1.html#K30" title="POLYNOM1:func.30">Polynom-Ring</a> <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">L</font>;<br/>
<b>let </b><font color="Maroon" title="c4">u</font>, <font color="Maroon" title="c5">v</font>, <font color="Maroon" title="c6">w</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K30" title="POLYNOM1:func.30">Polynom-Ring</a> <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">L</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="rlvect_1.html#D6" title="RLVECT_1:def.6">RLVECT_1:def 6</a><br/>

<b>reconsider </b><font color="Maroon" title="c7">o</font> = <font color="Maroon" title="c4">u</font>, <font color="Maroon" title="c8">p</font> = <font color="Maroon" title="c5">v</font>, <font color="Maroon" title="c9">q</font> = <font color="Maroon" title="c6">w</font> as   <a href="polynom1.html#NM4" title="POLYNOM1:NM.4">Polynomial</a> of <font color="Maroon" title="c1">n</font>,<font color="Maroon" title="c2">L</font> <b>by </b><i><a class="ref" href="polynom1.html#D27" target="_self" title="POLYNOM1:def.27">Def27</a></i>;<br/>
<a NAME="E2:188_1_1"/><i><font color="Green" title="E102">A1</font></i>: 
<font color="Maroon" title="c5">v</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">+</a> <font color="Maroon" title="c6">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">p</font> <a href="polynom1.html#K22" title="POLYNOM1:func.22">+</a> <font color="Maroon" title="c9">q</font>
 
<b>by </b><i><a class="ref" href="polynom1.html#D27" target="_self" title="POLYNOM1:def.27">Def27</a></i>;<br/>
<a NAME="E3:188_1_1"/>
<font color="Maroon" title="c4">u</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">+</a> <font color="Maroon" title="c5">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">o</font> <a href="polynom1.html#K22" title="POLYNOM1:func.22">+</a> <font color="Maroon" title="c8">p</font>
 
<b>by </b><i><a class="ref" href="polynom1.html#D27" target="_self" title="POLYNOM1:def.27">Def27</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon" title="c4">u</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">+</a> <font color="Maroon" title="c5">v</font></span>)</span> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">+</a> <font color="Maroon" title="c6">w</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c7">o</font> <a href="polynom1.html#K22" title="POLYNOM1:func.22">+</a> <font color="Maroon" title="c8">p</font></span>)</span> <a href="polynom1.html#K22" title="POLYNOM1:func.22">+</a> <font color="Maroon" title="c9">q</font>
<b>by </b><i><a class="ref" href="polynom1.html#D27" target="_self" title="POLYNOM1:def.27">Def27</a></i>
<br/>.= 
<font color="Maroon" title="c7">o</font> <a href="polynom1.html#K22" title="POLYNOM1:func.22">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">p</font> <a href="polynom1.html#K22" title="POLYNOM1:func.22">+</a> <font color="Maroon" title="c9">q</font></span>)</span>
<b>by </b><i><a class="ref" href="polynom1.html#T80" target="_self" title="POLYNOM1:th.80">Th80</a></i>
<br/>.= 
<font color="Maroon" title="c4">u</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">v</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">+</a> <font color="Maroon" title="c6">w</font></span>)</span>
<b>by </b><i><a class="txt" href="polynom1.html#E2:188_1_1"><i><font color="Green" title="E102">A1</font></i></a>, <a class="ref" href="polynom1.html#D27" target="_self" title="POLYNOM1:def.27">Def27</a></i>
;<br/><br/>


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