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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def2</font></span>   defines <a href="ringfrac.html#K4" title="RINGFRAC:func.4">recip</a> <a onclick="hs(this)" href="javascript:()">RINGFRAC:def 6 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">r</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b2">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="ringfrac.html#K3" title="RINGFRAC:func.3">Unit_Set</a> <font color="Olive" title="b1">R</font> holds <br/> for <font color="Olive">b<sub>3</sub></font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringfrac.html#K4" title="RINGFRAC:func.4">recip</a> <font color="Olive" title="b2">r</font> iff <font color="Olive">b<sub>3</sub></font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b2">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b1">R</font> );<br/></span></div>
