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<b>let </b><font color="Maroon">x</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <a href="mod_2.html#K18" target="_self">Z3</a> , <font color="Maroon">y</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <a href="mod_2.html#K18" target="_self">Z3</a> , <font color="Maroon">z</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <a href="mod_2.html#K18" target="_self">Z3</a> ;<br/><b>let </b><font color="Maroon">X</font> be    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="enumset1.html#K1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1">}</a></span>, <font color="Maroon">Y</font> be    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="enumset1.html#K1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1">}</a></span>, <font color="Maroon">Z</font> be    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="enumset1.html#K1">{</a><span class="default">0,1,2</span><a href="enumset1.html#K1">}</a></span>;<br/>



<b>assume </b><a NAME="E1:56"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">X</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp; <font color="Maroon">Y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> &amp; <font color="Maroon">Z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z</font> )
 ;<br/>

<a NAME="E2:56"/><b>then </b>
( <font color="Maroon">x</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">X</font> <a href="mod_2.html#K11" target="_self">+</a> <font color="Maroon">Y</font> &amp; <font color="Maroon">y</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y</font> <a href="mod_2.html#K11" target="_self">+</a> <font color="Maroon">Z</font> &amp; <font color="Maroon">x</font> <a href="group_1.html#K1">*</a> <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">X</font> <a href="mod_2.html#K12" target="_self">*</a> <font color="Maroon">Y</font> &amp; <font color="Maroon">y</font> <a href="group_1.html#K1">*</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y</font> <a href="mod_2.html#K12" target="_self">*</a> <font color="Maroon">Z</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:56"/>
( <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">y</font></span>)</span> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="mod_2.html#K11" target="_self">+</a> <font color="Maroon">Y</font></span>)</span> <a href="mod_2.html#K11" target="_self">+</a> <font color="Maroon">Z</font> &amp; <font color="Maroon">x</font> <a href="rlvect_1.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">z</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">X</font> <a href="mod_2.html#K11" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">Y</font> <a href="mod_2.html#K11" target="_self">+</a> <font color="Maroon">Z</font></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="group_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="mod_2.html#K12" target="_self">*</a> <font color="Maroon">Y</font></span>)</span> <a href="mod_2.html#K12" target="_self">*</a> <font color="Maroon">Z</font> &amp; <font color="Maroon">x</font> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="group_1.html#K1">*</a> <font color="Maroon">z</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">X</font> <a href="mod_2.html#K12" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">Y</font> <a href="mod_2.html#K12" target="_self">*</a> <font color="Maroon">Z</font></span>)</span> )
 <b>by </b><i>, </i>;<br/>


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