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<b>let </b><font color="Maroon" title="c3">F</font> be   <a href="hahnban1.html#NM3" title="HAHNBAN1:NM.3">RFunctional</a> of <font color="Maroon" title="c2">V</font>;<br/>

<b>assume </b><a NAME="E1:54_1_1"/><i><font color="Green" title="E32">A1</font></i>: 
<font color="Maroon" title="c3">F</font> is <a href="hahnban1.html#V5" title="HAHNBAN1:attr.5">additive</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">y</font> be   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Vector</a> of <font color="Maroon" title="c2">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="hahnban1.html#D16" target="_self" title="HAHNBAN1:def.16">HAHNBAN1:def 16</a><br/>

<b>thus </b><a NAME="E2:54_1_1"/>
<font color="Maroon" title="c3">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">x</font> <a href="rlvect_1.html#K2" title="RLVECT_1:func.2">+</a> <font color="Maroon" title="c5">y</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">x</font></span>)</span> <a href="real_1.html#K3" title="REAL_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c5">y</font></span>)</span>
 <b>by </b><i><a class="txt" href="hahnban1.html#E1:54_1_1"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="hahnban1.html#D17" target="_self" title="HAHNBAN1:def.17">Def17</a></i>;<br/>


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