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<b>let </b><font color="Maroon" title="c3">v</font>, <font color="Maroon" title="c4">w</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c2">V</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a> </span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="rlvect_1.html#D5" title="RLVECT_1:def.5">RLVECT_1:def 5</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">v</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Maroon" title="c4">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">w</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Maroon" title="c3">v</font></span><br/>

<b>reconsider </b><font color="Maroon" title="c5">f</font> = <font color="Maroon" title="c3">v</font>, <font color="Maroon" title="c6">g</font> = <font color="Maroon" title="c4">w</font> as   <a href="hahnban1.html#NM2" title="HAHNBAN1:NM.2">linear-Functional</a> of <font color="Maroon" title="c2">V</font> <b>by </b><i><a class="ref" href="hahnban1.html#D14" target="_self" title="HAHNBAN1:def.14">Def14</a></i>;<br/>
<b>thus </b><font color="Maroon" title="c3">v</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Maroon" title="c4">w</font> = 
<font color="Maroon" title="c5">f</font> <a href="hahnban1.html#K3" title="HAHNBAN1:func.3">+</a> <font color="Maroon" title="c6">g</font>
<b>by </b><i><a class="ref" href="hahnban1.html#D14" target="_self" title="HAHNBAN1:def.14">Def14</a></i>
<br/>.= 
<font color="Maroon" title="c6">g</font> <a href="hahnban1.html#K3" title="HAHNBAN1:func.3">+</a> <font color="Maroon" title="c5">f</font>
<b>by </b><i><a class="ref" href="hahnban1.html#T20" target="_self" title="HAHNBAN1:th.20">Th20</a></i>
<br/>.= 
<font color="Maroon" title="c4">w</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Maroon" title="c3">v</font>
<b>by </b><i><a class="ref" href="hahnban1.html#D14" target="_self" title="HAHNBAN1:def.14">Def14</a></i>
; <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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