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(  <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_1.html#NV6" title="ALGSTR_1:NV.6">cancelable</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="algstr_1.html#E22"><span class="lab"><font color="Green" title="E14">Lm7</font></span></a>, <a class="txt" href="algstr_1.html#E23"><span class="lab"><font color="Green" title="E15">Lm8</font></span></a>, <a class="txt" href="algstr_1.html#E24"><span class="lab"><font color="Green" title="E16">Lm9</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:27_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_1.html#NV6" title="ALGSTR_1:NV.6">cancelable</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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