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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="classes2.html#NM1">Universe</a>;<br/>

<b>thus </b><a NAME="E1:64"/>
the <a href="struct_0.html#U1">carrier</a> of <a href="mod_2.html#K18" target="_self">Z3</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="mod_2.html#E71"><i><font color="Green">Lemma46</font></i></a></i>;<br/>

<b>hence </b><a NAME="E2:64"/>
( the <a href="rlvect_1.html#U1">add</a> of <a href="mod_2.html#K18" target="_self">Z3</a>  is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="vectsp_1.html#K7">comp</a> <a href="mod_2.html#K18" target="_self">Z3</a>  is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> &amp; the <a href="struct_0.html#U2">Zero</a> of <a href="mod_2.html#K18" target="_self">Z3</a>  is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> &amp; the <a href="group_1.html#U1">mult</a> of <a href="mod_2.html#K18" target="_self">Z3</a>  is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> &amp; the <a href="vectsp_1.html#U1">unity</a> of <a href="mod_2.html#K18" target="_self">Z3</a>  is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="mod_2.html#E73"><i><font color="Green">Lemma48</font></i></a>, <a class="ref" href="grcat_1.html#T4">GRCAT_1:4</a></i>;<br/>


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