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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E15">Def4</font></span>   defines <a href="rfunct_3.html#K13" title="RFUNCT_3:func.13">addpfunc</a> <a onclick="hs(this)" href="javascript:()">RFUNCT_3:def 4 : <br/></a><span> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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="rfunct_3.html#K3" title="RFUNCT_3:func.3">PFuncs</a> (<font color="Olive" title="b1">D</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rfunct_3.html#K13" title="RFUNCT_3:func.13">addpfunc</a> <font color="Olive" title="b1">D</font> iff  for <font color="Olive" title="b3">F1</font>, <font color="Olive" title="b4">F2</font> being    <a href="rfunct_3.html#M2" title="RFUNCT_3:mode.2">Element</a> of  <a href="rfunct_3.html#K3" title="RFUNCT_3:func.3">PFuncs</a> (<font color="Olive" title="b1">D</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>) 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">F1</font>,<font color="Olive" title="b4">F2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">F1</font> <a href="rfunct_3.html#K5" title="RFUNCT_3:func.5">+</a> <font color="Olive" title="b4">F2</font> );<br/></span></div>
