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<b>consider </b><font color="Maroon" title="c2">N</font> being    <a href="monoid_0.html#M3" title="MONOID_0:mode.3">MonoidalSubStr</a> of <font color="Maroon" title="c1">G</font>;<br/>
<a NAME="E2:61_1_1"/><i><font color="Green" title="E32">A1</font></i>: 
<font color="Maroon">H<sub>2</sub></font>( <a href="algstr_0.html#G4" title="ALGSTR_0:aggr.4">multLoopStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">N</font>,the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Maroon" title="c2">N</font>,the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">U3</a> of <font color="Maroon" title="c2">N</font> #)) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">G</font>)
 
<b>by </b><i><a class="ref" href="monoid_0.html#D24" target="_self" title="MONOID_0:def.24">Def24</a></i>;<br/>
<a NAME="E3:61_1_1"/>
<font color="Maroon">H<sub>3</sub></font>( <a href="algstr_0.html#G4" title="ALGSTR_0:aggr.4">multLoopStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">N</font>,the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Maroon" title="c2">N</font>,the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">U3</a> of <font color="Maroon" title="c2">N</font> #)) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon" title="c2">N</font>)
 
;<br/>
<a NAME="E4:61_1_1"/><b>then </b>
for <font color="Olive" title="b1">M</font> being   <a href="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a>   st <font color="Maroon" title="c1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">M</font> holds <br/><font color="Maroon">H<sub>3</sub></font>( <a href="algstr_0.html#G4" title="ALGSTR_0:aggr.4">multLoopStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">N</font>,the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Maroon" title="c2">N</font>,the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">U3</a> of <font color="Maroon" title="c2">N</font> #)) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Olive" title="b1">M</font>)
 
<b>by </b><i><a class="ref" href="monoid_0.html#D24" target="_self" title="MONOID_0:def.24">Def24</a></i>;<br/>
<a NAME="E5:61_1_1"/><b>then </b>
 <a href="algstr_0.html#G4" title="ALGSTR_0:aggr.4">multLoopStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">N</font>,the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Maroon" title="c2">N</font>,the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">U3</a> of <font color="Maroon" title="c2">N</font> #) is    <a href="monoid_0.html#M3" title="MONOID_0:mode.3">MonoidalSubStr</a> of <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="txt" href="#E2:61_1_1"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="monoid_0.html#D24" target="_self" title="MONOID_0:def.24">Def24</a></i>;<br/>
<b>hence </b><a NAME="E6:61_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="monoid_0.html#M3" title="MONOID_0:mode.3">MonoidalSubStr</a> of <font color="Maroon" title="c1">G</font> st <font color="Olive">b<sub>1</sub></font> is <a href="algstr_0.html#V22" title="ALGSTR_0:attr.22">strict</a>
 ; <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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