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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E13">Def6</font></span>   defines <a href="ring_emb.html#M1" title="RING_EMB:mode.1">SubAbGr</a> <a onclick="hs(this)" href="javascript:()">RING_EMB:def 6 : <br/></a><span> for <font color="Olive" title="b1">G</font>, <font color="Olive">b<sub>2</sub></font> being   <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">AbGroup</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="ring_emb.html#M1" title="RING_EMB:mode.1">SubAbGr</a> of <font color="Olive" title="b1">G</font> iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>2</sub></font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">G</font> &amp;  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b1">G</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>2</sub></font> &amp;  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">G</font> ) );<br/></span></div>
