<?xml version="1.0"?>
<div class="add">

<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="E2:64_1_1"/>
( <font color="Maroon">H<sub>2</sub></font>( <a href="vectsp_1.html#G1" title="VECTSP_1:aggr.1">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="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c2">N</font>,the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">unity</a> of <font color="Maroon" title="c2">N</font> #)) <a href="funct_4.html#NR1" title="FUNCT_4:NR.1">&lt;=</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">G</font>) &amp; ( for <font color="Olive" title="b1">M</font> being   <a href="vectsp_1.html#L1" title="VECTSP_1:struct.1">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="vectsp_1.html#G1" title="VECTSP_1:aggr.1">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="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c2">N</font>,the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">unity</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/>
<b>then reconsider </b><font color="Maroon" title="c3">N'</font> =  <a href="vectsp_1.html#G1" title="VECTSP_1:aggr.1">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="group_1.html#U1" title="GROUP_1:sel.1">mult</a> of <font color="Maroon" title="c2">N</font>,the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">unity</a> of <font color="Maroon" title="c2">N</font> #) as    <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="ref" href="monoid_0.html#D24" target="_self" title="MONOID_0:def.24">Def24</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">N'</font>
;<br/>

<b>thus </b><a NAME="E4:64_1_1"/>
<font color="Maroon" title="c3">N'</font> is <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">strict</a>
 ;<br/>


</div>
