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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">defadd</font></span>   defines <a href="field_2.html#K4" title="FIELD_2:func.4">addemb</a> <a onclick="hs(this)" href="javascript:()">FIELD_2:def 4 : <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">S</font> being  <font color="Olive">b<sub>1</sub></font> <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="ring_3.html#NM1" title="RING_3:NM.1">Monomorphism</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">S</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1">(<span class="default"><a href="field_2.html#K2" title="FIELD_2:func.2">carr</a> <font color="Olive" title="b3">f</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="field_2.html#K4" title="FIELD_2:func.4">addemb</a> <font color="Olive" title="b3">f</font> iff  for <font color="Olive" title="b5">a</font>, <font color="Olive" title="b6">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="field_2.html#K2" title="FIELD_2:func.2">carr</a> <font color="Olive" title="b3">f</font> holds  <font color="Olive">b<sub>4</sub></font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b5">a</font>,<font color="Olive" title="b6">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="field_2.html#K3" title="FIELD_2:func.3">addemb</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b5">a</font>,<font color="Olive" title="b6">b</font>) );<br/></span></div>
