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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E30">Def13</font></span>   defines <a href="quofield.html#K16" title="QUOFIELD:func.16">quotmult</a> <a onclick="hs(this)" href="javascript:()">QUOFIELD:def 13 : <br/></a><span> for <font color="Olive" title="b1">I</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>   <a href="vectsp_2.html#V1" title="VECTSP_2:attr.1">domRing-like</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive">b<sub>2</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="quofield.html#K7" title="QUOFIELD:func.7">Quot.</a> <font color="Olive" title="b1">I</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quofield.html#K16" title="QUOFIELD:func.16">quotmult</a> <font color="Olive" title="b1">I</font> iff  for <font color="Olive" title="b3">u</font>, <font color="Olive" title="b4">v</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="quofield.html#K7" title="QUOFIELD:func.7">Quot.</a> <font color="Olive" title="b1">I</font> holds  <font color="Olive">b<sub>2</sub></font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b3">u</font>,<font color="Olive" title="b4">v</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quofield.html#K9" title="QUOFIELD:func.9">qmult</a> (<font color="Olive" title="b3">u</font>,<font color="Olive" title="b4">v</font>) );<br/></span></div>
