<?xml version="1.0"?>
<div class="add">

<b>consider </b><font color="Maroon">mF</font> being   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">F</font>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span></span><a href="zfmisc_1.html#K2">:]</a></span>,<span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>;<br/>
<b>consider </b><font color="Maroon">mo</font> being   <a href="relset_1.html#NM3">Relation</a> of <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>;<br/>
<a NAME="E3:7_1_1"/>
(  <a href="symsp_1.html#G1" target="_self">SymStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">md</font>,<font color="Maroon">o</font>,<font color="Maroon">mF</font>,<font color="Maroon">mo</font> #) is <a href="rlvect_1.html#V3">Abelian</a> &amp;  <a href="symsp_1.html#G1" target="_self">SymStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">md</font>,<font color="Maroon">o</font>,<font color="Maroon">mF</font>,<font color="Maroon">mo</font> #) is <a href="rlvect_1.html#V4">add-associative</a> &amp;  <a href="symsp_1.html#G1" target="_self">SymStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">md</font>,<font color="Maroon">o</font>,<font color="Maroon">mF</font>,<font color="Maroon">mo</font> #) is <a href="rlvect_1.html#V5">right_zeroed</a> &amp;  <a href="symsp_1.html#G1" target="_self">SymStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">md</font>,<font color="Maroon">o</font>,<font color="Maroon">mF</font>,<font color="Maroon">mo</font> #) is <a href="rlvect_1.html#V6">right_complementable</a> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:7_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="symsp_1.html#L1" target="_self">SymStr</a> of <font color="Maroon">F</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V3">Abelian</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V4">add-associative</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V5">right_zeroed</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V6">right_complementable</a> )
 ;<br/>


</div>
