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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">F</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="monoid_0.html#M2" target="_self">SubStr</a> of  <a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">X</font>;<br/>



<a NAME="E1:141"/>
 <a href="binop_1.html#K3">the_unity_wrt</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">X</font>) <a href="hidden.html#R1">=</a>  <a href="partfun1.html#K6">id</a> <font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="monoid_0.html#T17" target="_self">Th17</a></i>;<br/>
<b>hence </b><a NAME="E2:141"/>
(  <a href="partfun1.html#K6">id</a> <font color="Maroon">X</font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">F</font> implies ( <font color="Maroon">F</font> is <a href="group_1.html#V2">unital</a> &amp;  <a href="binop_1.html#K3">the_unity_wrt</a> the <a href="group_1.html#U1">mult</a> of <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="partfun1.html#K6">id</a> <font color="Maroon">X</font> ) )
 <b>by </b><i/>;<br/>


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