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<a NAME="E1:30_1_1"/>
(  <a href="algstr_1.html#K3" title="ALGSTR_1:func.3">multL_Trivial</a>  is <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">well-unital</a> &amp;  <a href="algstr_1.html#K3" title="ALGSTR_1:func.3">multL_Trivial</a>  is <a href="algstr_1.html#V7" title="ALGSTR_1:attr.7">invertible</a> &amp;  <a href="algstr_1.html#K3" title="ALGSTR_1:func.3">multL_Trivial</a>  is <a href="algstr_1.html#V8" title="ALGSTR_1:attr.8">cancelable</a> )
 
<b>by </b><i><a class="ref" href="algstr_1.html#D12" target="_self" title="ALGSTR_1:def.12">Def12</a>, <a class="ref" href="algstr_1.html#D13" target="_self" title="ALGSTR_1:def.13">Def13</a>, <a class="txt" href="algstr_1.html#E39"><i><font color="Green" title="E22">Lm9</font></i></a>, <a class="txt" href="algstr_1.html#E40"><i><font color="Green" title="E23">Lm10</font></i></a>, <a class="txt" href="algstr_1.html#E41"><i><font color="Green" title="E24">Lm11</font></i></a>, <a class="txt" href="algstr_1.html#E42"><i><font color="Green" title="E25">Lm12</font></i></a>, <a class="txt" href="algstr_1.html#E43"><i><font color="Green" title="E26">Lm13</font></i></a>, <a class="txt" href="algstr_1.html#E44"><i><font color="Green" title="E27">Lm14</font></i></a>, <a class="ref" href="vectsp_1.html#D16" title="VECTSP_1:def.16">VECTSP_1:def 16</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#V2" title="STRUCT_0:attr.2">empty</a>  <a href="vectsp_1.html#L1" title="VECTSP_1:struct.1">multLoopStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">well-unital</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V7" title="ALGSTR_1:attr.7">invertible</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V8" title="ALGSTR_1:attr.8">cancelable</a> )
 ;<br/>


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