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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="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">v</font> =  the   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</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">take </span>
 <a href="vectsp_7.html#K1" title="VECTSP_7:func.1">Lin</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"> the   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</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><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
; <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">  not  <a href="vectsp_7.html#K1" title="VECTSP_7:func.1">Lin</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"> the   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</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><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> </span><br/>

<a NAME="E1:76_1_1"/>
 the   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</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> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a>  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</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">hence </span><a NAME="E2:76_1_1"/>
 not  <a href="vectsp_7.html#K1" title="VECTSP_7:func.1">Lin</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"> the   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of  the   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</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><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodul07.html#T42" target="_self" onmouseover="rs('zmodul07/T42')" onmouseout="rh()">ThTrivial2</a></span>; <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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