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<b>let </b><font color="Maroon" title="c2">p</font>, <font color="Maroon" title="c3">q</font>, <font color="Maroon" title="c4">r</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K16" title="POLYNOM3:func.16">Polynom-Ring</a> <font color="Maroon" title="c1">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="c5">p1</font> = <font color="Maroon" title="c2">p</font>, <font color="Maroon" title="c6">q1</font> = <font color="Maroon" title="c3">q</font>, <font color="Maroon" title="c7">r1</font> = <font color="Maroon" title="c4">r</font> as   <a href="normsp_1.html#NM2" title="NORMSP_1:NM.2">sequence</a> of <font color="Maroon" title="c1">L</font> <b>by </b><i><a class="ref" href="polynom3.html#D12" target="_self" title="POLYNOM3:def.12">Def12</a></i>;<br/>
<a NAME="E2:68_1_1"/><i><font color="Green" title="E42">A1</font></i>: 
<font color="Maroon" title="c3">q</font> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <font color="Maroon" title="c4">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">q1</font> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <font color="Maroon" title="c7">r1</font>
 
<b>by </b><i><a class="ref" href="polynom3.html#D12" target="_self" title="POLYNOM3:def.12">Def12</a></i>;<br/>
<a NAME="E3:68_1_1"/>
<font color="Maroon" title="c2">p</font> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <font color="Maroon" title="c3">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">p1</font> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <font color="Maroon" title="c6">q1</font>
 
<b>by </b><i><a class="ref" href="polynom3.html#D12" target="_self" title="POLYNOM3:def.12">Def12</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon" title="c2">p</font> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <font color="Maroon" title="c3">q</font></span>)</span> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <font color="Maroon" title="c4">r</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">p1</font> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <font color="Maroon" title="c6">q1</font></span>)</span> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <font color="Maroon" title="c7">r1</font>
<b>by </b><i><a class="ref" href="polynom3.html#D12" target="_self" title="POLYNOM3:def.12">Def12</a></i>
<br/>.= 
<font color="Maroon" title="c5">p1</font> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">q1</font> <a href="polynom3.html#K8" title="POLYNOM3:func.8">+</a> <font color="Maroon" title="c7">r1</font></span>)</span>
<b>by </b><i><a class="ref" href="polynom3.html#T26" target="_self" title="POLYNOM3:th.26">Th26</a></i>
<br/>.= 
<font color="Maroon" title="c2">p</font> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">q</font> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <font color="Maroon" title="c4">r</font></span>)</span>
<b>by </b><i><a class="txt" href="polynom3.html#E2:68_1_1"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="polynom3.html#D12" target="_self" title="POLYNOM3:def.12">Def12</a></i>
;<br/><br/>


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