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<b>let </b><font color="Maroon">f</font> be   <a href="hahnban.html#NM1">Functional</a> of <font color="Maroon">V</font>;<br/>

<b>assume </b><a NAME="E1:30_1_1"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">f</font> is <a href="hahnban.html#V2" target="_self">additive</a>
 ;<br/>

<b>let </b><font color="Maroon">x</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">y</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="hahnban.html#D3" target="_self">HAHNBAN:def 3</a><br/>

<b>thus </b><a NAME="E2:30_1_1"/>
<font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">y</font></span>)</span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">y</font></span>)</span>
 <b>by </b><i><a class="ref" href="hahnban.html#T5" target="_self">Th5</a>, </i>;<br/>


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