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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L1">multLoopStr</a> ;<br/>

<b>assume </b><a NAME="E1:4"/><i><font color="Green">E4</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="vectsp_2.html#V1" target="_self">well-unital</a>
 ;<br/>

<a NAME="E2:4"/><b>then </b><i><font color="Green">E5</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font> holds <br/>( <font color="Olive">b<sub>1</sub></font> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><a href="vectsp_1.html#K2">1_</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> &amp; <span class="p1">(<span class="default"><a href="vectsp_1.html#K2">1_</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="group_1.html#K1">*</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="vectsp_2.html#D2" target="_self">Def2</a></i>;<br/>
<a NAME="E3:4"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="group_1.html#V2">unital</a>
 
<b>by </b><i><a class="txt" href="vectsp_2.html#E1:4"><i><font color="Green">E4</font></i></a>, <a class="txt" href="vectsp_2.html#E3"><i><font color="Green">Lemma2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:4"/>
 <a href="vectsp_1.html#K2">1_</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="vectsp_2.html#E2:4"><i><font color="Green">E5</font></i></a>, <a class="ref" href="group_1.html#D5">GROUP_1:def 5</a></i>;<br/>


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