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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">L</font>,<font color="Maroon">L</font>;<br/>



<b>assume </b><a NAME="E1:81"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">f</font> <a href="waybel_1.html#NR12" target="_self">is_a_kernel_operator</a> 
 ;<br/>

<b>reconsider </b><font color="Maroon">T</font> =  <a href="yellow_2.html#K1">Image</a> <font color="Maroon">f</font> as  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a> ;<br/>
<b>reconsider </b><font color="Maroon">g</font> =  <a href="waybel_1.html#K2" target="_self">corestr</a> <font color="Maroon">f</font> as   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">L</font>,<font color="Maroon">T</font> ;<br/>
<b>reconsider </b><font color="Maroon">d</font> =  <a href="waybel_1.html#K3" target="_self">inclusion</a> <font color="Maroon">f</font> as   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">T</font>,<font color="Maroon">L</font> ;<br/>
<b>take </b>
<font color="Maroon">T</font>
;<br/>

<b>take </b>
<font color="Maroon">g</font>
;<br/>

<b>take </b>
<font color="Maroon">d</font>
;<br/>

<b>thus </b><a NAME="E5:81"/>
<span class="p1"><a href="waybel_1.html#K1" target="_self">[</a><span class="default"><font color="Maroon">g</font>,<font color="Maroon">d</font></span><a href="waybel_1.html#K1" target="_self">]</a></span> is <a href="waybel_1.html#V3" target="_self">Galois</a>
 <b>by </b><i>, </i>;<br/>

<b>thus </b><a NAME="E6:81"/>
<font color="Maroon">f</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">d</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">g</font>
 <b>by </b><i><a class="ref" href="waybel_1.html#D8" target="_self">Def8</a></i>;<br/>


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