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<b>let </b><font color="Maroon">G</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="group_1.html#L1">HGrStr</a> ;<br/><b>let </b><font color="Maroon">M</font> be    <a href="monoid_0.html#M1" target="_self">MonoidalExtension</a> of <font color="Maroon">G</font>;<br/>



<a NAME="E1:46"/><i><font color="Green">E28</font></i>: 
 <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">M</font> #) <a href="hidden.html#R1">=</a>  <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">G</font> #)
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:46"/>
( <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">M</font>) <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">G</font>) &amp; <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon">M</font>) <a href="funct_2.html#R1">=</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon">G</font>) )
 ;<br/>

<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font>, <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font>;<br/><b>let </b><font color="Maroon">a'</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>, <font color="Maroon">b'</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/>



<b>thus </b><a NAME="E3:46"/>
( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a'</font> &amp; <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b'</font> implies <font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a'</font> <a href="group_1.html#K1">*</a> <font color="Maroon">b'</font> )
 <b>by </b><i/>;<br/>


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