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

<b>reconsider </b><font color="Maroon" title="c2">MM</font> =  <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font>,the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Maroon" title="c1">M</font> #) as   <a href="metric_1.html#NM1" title="METRIC_1:NM.1">MetrSpace</a> <b>by </b><i><a class="txt" href="topmetr.html#E11"><i><font color="Green" title="E4">Lm1</font></i></a></i>;<br/>
<a NAME="E2:9_1_1"/>
( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">MM</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font> &amp; ( for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">MM</font> holds  the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Maroon" title="c2">MM</font> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> <font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="metric_1.html#U1" title="METRIC_1:sel.1">distance</a> of <font color="Maroon" title="c1">M</font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font> ) )
 
;<br/>
<a NAME="E3:9_1_1"/><b>then </b>
<font color="Maroon" title="c2">MM</font> is    <a href="topmetr.html#M1" title="TOPMETR:mode.1">SubSpace</a> of <font color="Maroon" title="c1">M</font>
 
<b>by </b><i><a class="ref" href="topmetr.html#D1" target="_self" title="TOPMETR:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E4:9_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="topmetr.html#M1" title="TOPMETR:mode.1">SubSpace</a> of <font color="Maroon" title="c1">M</font> st <font color="Olive">b<sub>1</sub></font> is <a href="metric_1.html#V1" title="METRIC_1:attr.1">strict</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
