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<span class="kw">set </span><font color="Maroon" title="c1">V</font> =  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a>   <a href="zmodul06.html#V3" title="ZMODUL06:attr.3">torsion-free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a>;<br/>
<span class="kw">set </span><font color="Maroon" title="c2">p</font> =  the   <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c3">pp</font> =  the   <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> as   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">W</font> =  <a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> ( the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a>   <a href="zmodul06.html#V3" title="ZMODUL06:attr.3">torsion-free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">pp</font> <a href="zmodul02.html#K5" title="ZMODUL02:func.5">(*)</a>  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a>   <a href="zmodul06.html#V3" title="ZMODUL06:attr.3">torsion-free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a></span>)</span>);<br/>
<a NAME="E2:78_1_1"/>
 <a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> ( the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a>   <a href="zmodul06.html#V3" title="ZMODUL06:attr.3">torsion-free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">pp</font> <a href="zmodul02.html#K5" title="ZMODUL02:func.5">(*)</a>  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a>   <a href="zmodul06.html#V3" title="ZMODUL06:attr.3">torsion-free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a></span>)</span>) is  <a href="zmodul06.html#V2" title="ZMODUL06:attr.2">torsion</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E3:78_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="zmodul06.html#V2" title="ZMODUL06:attr.2">torsion</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a> st <font color="Olive">b<sub>1</sub></font> is  <a href="zmodul03.html#V2" title="ZMODUL03:attr.2">finitely-generated</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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