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<b>let </b><font color="Maroon" title="c2">F</font> be   <a href="hahnban1.html#NM3" title="HAHNBAN1:NM.3">RFunctional</a> of <font color="Maroon" title="c1">V</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">F</font> is <a href="hahnban1.html#V6" title="HAHNBAN1:attr.6">Real_homogeneous</a> implies <font color="Maroon" title="c2">F</font> is <a href="hahnban1.html#V8" title="HAHNBAN1:attr.8">0-preserving</a> )</span><br/>

<b>assume </b><a NAME="E1:48_1_1"/><i><font color="Green" title="E24">A1</font></i>: 
<font color="Maroon" title="c2">F</font> is <a href="hahnban1.html#V6" title="HAHNBAN1:attr.6">Real_homogeneous</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">F</font> is <a href="hahnban1.html#V8" title="HAHNBAN1:attr.8">0-preserving</a></span><br/>

<a NAME="E2:48_1_1"/><i><font color="Green" title="E25">A2</font></i>: 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="hahnban1.html#K1" title="HAHNBAN1:func.1">[**</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="hahnban1.html#K1" title="HAHNBAN1:func.1">**]</a></span>
 
<b>by </b><i><a class="ref" href="complfld.html#T9" title="COMPLFLD:th.9">COMPLFLD:9</a></i>;<br/>
<b>thus </b><font color="Maroon" title="c2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">V</font></span>)</span> = 
<font color="Maroon" title="c2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> </span>)</span> <a href="vectsp_1.html#K4" title="VECTSP_1:func.4">*</a> <span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">V</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#T59" title="VECTSP_1:th.59">VECTSP_1:59</a></i>
<br/>.= 
<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">V</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="#E1:48_1_1"><i><font color="Green" title="E24">A1</font></i></a>, <a class="txt" href="#E2:48_1_1"><i><font color="Green" title="E25">A2</font></i></a>, <a class="ref" href="hahnban1.html#D18" target="_self" title="HAHNBAN1:def.18">Def18</a></i>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 

; <i><font color="Red">:: according to </font></i><a class="ref" href="hahnban1.html#D20" target="_self" title="HAHNBAN1:def.20">HAHNBAN1:def 20</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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