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<a NAME="E1:112"/>
<font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K6" target="_self">&lt;NAT,+,0&gt;</a> ) <a href="funct_2.html#R1">=</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K5" target="_self">&lt;NAT,+&gt;</a> )
 
<b>by </b><i><a class="ref" href="monoid_0.html#T20" target="_self">Th20</a></i>;<br/>
<a NAME="E2:112"/><b>then </b>
 <a href="monoid_0.html#K6" target="_self">&lt;NAT,+,0&gt;</a>  is    <a href="monoid_0.html#M5" target="_self">SubStr</a> of  <a href="monoid_0.html#K5" target="_self">&lt;NAT,+&gt;</a> 
 
<b>by </b><i><a class="ref" href="monoid_0.html#D23" target="_self">Def23</a></i>;<br/>
<b>hence </b><a NAME="E3:112"/>
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being  <a href="nat_1.html#NM1">Nat</a><br/>for <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <a href="monoid_0.html#K6" target="_self">&lt;NAT,+,0&gt;</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>3</sub></font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>4</sub></font> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="group_1.html#K10">*</a> <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="binop_2.html#K23">+</a> <font color="Olive">b<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="monoid_0.html#T43" target="_self">Th43</a></i>;<br/>


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