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<b>let </b><font color="Maroon" title="c2">L</font> be  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> ;<br/>

<b>assume </b><a NAME="E1:39_1_1"/><i><font color="Green" title="E13">A1</font></i>: 
<font color="Maroon" title="c2">L</font> is <a href="group_1.html#V2" title="GROUP_1:attr.2">unital</a>
 ;<br/>

<b>consider </b><font color="Maroon" title="c3">e</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">L</font>;<br/>
<b>thus </b><a NAME="E3:39_1_1"/>
for <font color="Olive" title="b1">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">L</font> holds  <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1_</a> <font color="Maroon" title="c2">L</font></span>)</span> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x</font>
 <b>by </b><i><a class="txt" href="vectsp_1.html#E1:39_1_1"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="group_1.html#D5" title="GROUP_1:def.5">GROUP_1:def 5</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="vectsp_1.html#D19" target="_self" title="VECTSP_1:def.19">VECTSP_1:def 19</a><br/>

<b>thus </b><a NAME="E4:39_1_1"/>
for <font color="Olive" title="b1">x</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">L</font> holds  <font color="Olive" title="b1">x</font> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1_</a> <font color="Maroon" title="c2">L</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x</font>
 <b>by </b><i><a class="txt" href="vectsp_1.html#E1:39_1_1"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="group_1.html#D5" title="GROUP_1:def.5">GROUP_1:def 5</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="vectsp_1.html#D13" target="_self" title="VECTSP_1:def.13">VECTSP_1:def 13</a><br/>


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