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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E28">Def6</font></span>   defines <a href="rmod_2.html#M2" title="RMOD_2:mode.2">Coset</a> <a onclick="hs(this)" href="javascript:()">RMOD_2:def 6 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">RightMod</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">W</font> being    <a href="rmod_2.html#M1" title="RMOD_2:mode.1">Submodule</a> of <font color="Olive" title="b2">V</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">V</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> is    <a href="rmod_2.html#M2" title="RMOD_2:mode.2">Coset</a> of <font color="Olive" title="b3">W</font> iff  ex <font color="Olive" title="b5">v</font> being   <a href="vectsp_2.html#NM4" title="VECTSP_2:NM.4">Vector</a> of <font color="Olive" title="b2">V</font> st <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">v</font> <a href="rmod_2.html#K3" title="RMOD_2:func.3">+</a> <font color="Olive" title="b3">W</font> );<br/></span></div>
