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<b>let </b><font color="Maroon">K</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="group_1.html#V4">associative</a> <a href="vectsp_1.html#V7">distributive</a> <a href="vectsp_1.html#V8">left_unital</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="hahnban1.html#NM2">linear-Functional</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6" target="_self">VectQuot</a> <font color="Maroon">V</font>,<span class="p2">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span></span>)</span>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/>









<b>assume </b><a NAME="E1:71"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font> <a href="vectsp_4.html#K3">+</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span>
 ;<br/>

<a NAME="E2:71"/><i><font color="Green">E35</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="vectsp10.html#K8" target="_self">ker</a> <font color="Maroon">f</font>
 
<b>by </b><i/>;<br/>
<b>thus </b><a NAME="E3:71"/>
<span class="p1">(<span class="default"><a href="vectsp10.html#K11" target="_self">CQFunctional</a> <font color="Maroon">f</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
 <b>by </b><i>, , <a class="txt" href="vectsp10.html#E2:71"><i><font color="Green">E35</font></i></a></i>;<br/>


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