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<a NAME="E1:30_1_1"/>
(  <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a>  is <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a> &amp;  <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a>  is <a href="algstr_1.html#V5" title="ALGSTR_1:attr.5">invertible</a> &amp;  <a href="algstr_0.html#K8" title="ALGSTR_0:func.8">Trivial-multLoopStr</a>  is <a href="algstr_0.html#V21" title="ALGSTR_0:attr.21">cancelable</a> )
 
<b>by </b><i><a class="ref" href="algstr_1.html#D14" target="_self" title="ALGSTR_1:def.14">Def14</a>, <a class="txt" href="algstr_1.html#E42"><i><font color="Green" title="E22">Lm11</font></i></a>, <a class="txt" href="algstr_1.html#E43"><i><font color="Green" title="E23">Lm12</font></i></a>, <a class="txt" href="algstr_1.html#E44"><i><font color="Green" title="E24">Lm13</font></i></a>, <a class="txt" href="algstr_1.html#E45"><i><font color="Green" title="E25">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="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="algstr_0.html#V22" title="ALGSTR_0:attr.22">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V5" title="ALGSTR_1:attr.5">invertible</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_0.html#V21" title="ALGSTR_0:attr.21">cancelable</a> )
 ;<br/>


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