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<b>set </b><font color="Maroon" title="c1">N</font> =  <a href="monoid_0.html#K8" title="MONOID_0:func.8">&lt;NAT,*,1&gt;</a> ;<br/>
<a NAME="E1:120"/>
(  <a href="algstr_0.html#G3" title="ALGSTR_0:aggr.3">multMagma</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="monoid_0.html#K8" title="MONOID_0:func.8">&lt;NAT,*,1&gt;</a> ,the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <a href="monoid_0.html#K8" title="MONOID_0:func.8">&lt;NAT,*,1&gt;</a>  #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="monoid_0.html#K7" title="MONOID_0:func.7">&lt;NAT,*&gt;</a>  &amp;  <a href="binop_1.html#K3" title="BINOP_1:func.3">the_unity_wrt</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K8" title="MONOID_0:func.8">&lt;NAT,*,1&gt;</a> ) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>3</sub></font>( <a href="monoid_0.html#K8" title="MONOID_0:func.8">&lt;NAT,*,1&gt;</a> ) )
 
<b>by </b><i><a class="ref" href="monoid_0.html#D22" target="_self" title="MONOID_0:def.22">Def22</a>, <a class="ref" href="monoid_0.html#T19" target="_self" title="MONOID_0:th.19">Th19</a></i>;<br/>
<b>hence </b><a NAME="E2:120"/>
 <a href="monoid_0.html#K8" title="MONOID_0:func.8">&lt;NAT,*,1&gt;</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#G4" title="ALGSTR_0:aggr.4">multLoopStr</a>(# <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ,<a href="binop_2.html#K48" title="BINOP_2:func.48">multnat</a> ,1 #)
 <b>by </b><i><a class="ref" href="monoid_0.html#D31" target="_self" title="MONOID_0:def.31">Def31</a>, <a class="ref" href="monoid_0.html#T63" target="_self" title="MONOID_0:th.63">Th63</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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