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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:149"/>
(  <a href="binop_1.html#K3">the_unity_wrt</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">X</font>) <a href="hidden.html#R1">=</a>  <a href="partfun1.html#K6">id</a> <font color="Maroon">X</font> &amp;  <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K17" target="_self">MFuncs</a> <font color="Maroon">X</font></span>)</span>,the <a href="group_1.html#U1">mult</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K17" target="_self">MFuncs</a> <font color="Maroon">X</font></span>)</span> #) <a href="hidden.html#R1">=</a>  <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">X</font> )
 
<b>by </b><i>, <a class="txt" href="monoid_0.html#E40"><i><font color="Green">Lemma69</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:149"/>
( the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K17" target="_self">MFuncs</a> <font color="Maroon">X</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="funct_2.html#K1">Funcs</a> <font color="Maroon">X</font>,<font color="Maroon">X</font> &amp; the <a href="group_1.html#U1">mult</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K17" target="_self">MFuncs</a> <font color="Maroon">X</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="monoid_0.html#K15" target="_self">-composition</a> </span>)</span> <a href="realset1.html#K1">||</a> <span class="p1">(<span class="default"><a href="funct_2.html#K1">Funcs</a> <font color="Maroon">X</font>,<font color="Maroon">X</font></span>)</span> &amp; the <a href="vectsp_1.html#U1">unity</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K17" target="_self">MFuncs</a> <font color="Maroon">X</font></span>)</span> <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#D2" target="_self">Def2</a>, </i>;<br/>


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