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<b>let </b><font color="Maroon" title="c1">R</font> be   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>;<br/><b>let </b><font color="Maroon" title="c2">V</font> be   <a href="vectsp_2.html#NM7" title="VECTSP_2:NM.7">RightMod</a> of <font color="Maroon" title="c1">R</font>;<br/><b>let </b><font color="Maroon" title="c3">V1</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">V</font>;<br/>





<b>assume </b><a NAME="E1:72"/>
<font color="Maroon" title="c3">V1</font> is    <a href="rmod_2.html#M2" title="RMOD_2:mode.2">Coset</a> of  <a href="rmod_2.html#K1" title="RMOD_2:func.1">(0).</a> <font color="Maroon" title="c2">V</font>
 ;<br/>

<b>then consider </b><font color="Maroon" title="c4">v</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">Vector</a> of <font color="Maroon" title="c2">V</font><b> such that </b><br/><a NAME="E3:72"/><i><font color="Green" title="E47">A1</font></i>: 
<font color="Maroon" title="c3">V1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v</font> <a href="rmod_2.html#K3" title="RMOD_2:func.3">+</a> <span class="p1">(<span class="default"><a href="rmod_2.html#K1" title="RMOD_2:func.1">(0).</a> <font color="Maroon" title="c2">V</font></span>)</span>
 <b>by </b><i><a class="ref" href="rmod_2.html#D6" target="_self" title="RMOD_2:def.6">Def6</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">v</font>
;<br/>

<b>thus </b><a NAME="E4:72"/>
<font color="Maroon" title="c3">V1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c4">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 <b>by </b><i><a class="txt" href="rmod_2.html#E3:72"><i><font color="Green" title="E47">A1</font></i></a>, <a class="ref" href="rmod_2.html#T61" target="_self" title="RMOD_2:th.61">Th61</a></i>;<br/>


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