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

<a NAME="E1:30_1_1"/>
(  <a href="algstr_1.html#K3" target="_self">multL_Trivial</a>  is <a href="group_1.html#V2">unital</a> &amp;  <a href="algstr_1.html#K3" target="_self">multL_Trivial</a>  is <a href="algstr_1.html#V7" target="_self">invertible</a> &amp;  <a href="algstr_1.html#K3" target="_self">multL_Trivial</a>  is <a href="algstr_1.html#V8" target="_self">cancelable</a> )
 
<b>by </b><i><a class="ref" href="algstr_1.html#D12" target="_self">Def12</a>, <a class="ref" href="algstr_1.html#D13" target="_self">Def13</a>, <a class="txt" href="algstr_1.html#E39"><i><font color="Green">Lemma22</font></i></a>, <a class="txt" href="algstr_1.html#E40"><i><font color="Green">Lemma23</font></i></a>, <a class="txt" href="algstr_1.html#E41"><i><font color="Green">Lemma24</font></i></a>, <a class="txt" href="algstr_1.html#E42"><i><font color="Green">Lemma25</font></i></a>, <a class="txt" href="algstr_1.html#E43"><i><font color="Green">Lemma26</font></i></a>, <a class="txt" href="algstr_1.html#E44"><i><font color="Green">Lemma27</font></i></a>, <a class="ref" href="group_1.html#D2">GROUP_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:30_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L1">multLoopStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V1">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="group_1.html#V2">unital</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V7" target="_self">invertible</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V8" target="_self">cancelable</a> )
 ;<br/>


</div>
