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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th16</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: LPSPACE1:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</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" title="b2">f</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">A</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>) holds  <span class="p1">(<span class="default"><a href="rfunct_3.html#K13" title="RFUNCT_3:func.13">addpfunc</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b2">f</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="lpspace1.html#K4" title="LPSPACE1:func.4">multrealpfunc</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>,<font color="Olive" title="b2">f</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="lpspace1.html#K5" title="LPSPACE1:func.5">RealPFuncZero</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">f</font></span>)</span></div></div>
