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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E32">sgnF</font></span>   defines <a href="realalg3.html#K8" title="REALALG3:func.8">signum</a> <a onclick="hs(this)" href="javascript:()">REALALG3:def 10 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="realalg1.html#V14" title="REALALG1:attr.14">ordered</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">P</font> being   <a href="realalg1.html#NM2" title="REALALG1:NM.2">Ordering</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font>,<a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="realalg3.html#K8" title="REALALG3:func.8">signum</a> <font color="Olive" title="b2">P</font> iff  for <font color="Olive" title="b4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds  <font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="realalg3.html#K7" title="REALALG3:func.7">signum</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b4">a</font>) );<br/></span></div>
