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<b>let </b><font color="Maroon" title="c1">MS</font> be   <a href="analmetr.html#NM2" title="ANALMETR:NM.2">OrtAfPl</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">MS</font> is <a href="euclmetr.html#V7" title="EUCLMETR:attr.7">Homogeneous</a> iff  <a href="conaffm.html#NR4" title="CONAFFM:NR.4">ODES_holds_in</a> <font color="Maroon" title="c1">MS</font> )</span><br/>

<a NAME="E1:16"/>
(  <a href="conaffm.html#NR4" title="CONAFFM:NR.4">ODES_holds_in</a> <font color="Maroon" title="c1">MS</font> iff for <font color="Olive" title="b1">o</font>, <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">a1</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">b1</font>, <font color="Olive" title="b6">c</font>, <font color="Olive" title="b7">c1</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">MS</font>  st <font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">a</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b1">o</font>,<font color="Olive" title="b3">a1</font> &amp; <font color="Olive" title="b1">o</font>,<font color="Olive" title="b4">b</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b1">o</font>,<font color="Olive" title="b5">b1</font> &amp; <font color="Olive" title="b1">o</font>,<font color="Olive" title="b6">c</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b1">o</font>,<font color="Olive" title="b7">c1</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">b</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b3">a1</font>,<font color="Olive" title="b5">b1</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b6">c</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b3">a1</font>,<font color="Olive" title="b7">c1</font> &amp; not <font color="Olive" title="b1">o</font>,<font color="Olive" title="b6">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">a</font> &amp; not <font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">o</font>,<font color="Olive" title="b4">b</font> holds <br/><font color="Olive" title="b4">b</font>,<font color="Olive" title="b6">c</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b5">b1</font>,<font color="Olive" title="b7">c1</font> )
 
<b>by </b><i><a class="ref" href="conaffm.html#D4" title="CONAFFM:def.4">CONAFFM:def 4</a></i>;<br/>
<b>hence </b><a NAME="E2:16"/>
( <font color="Maroon" title="c1">MS</font> is <a href="euclmetr.html#V7" title="EUCLMETR:attr.7">Homogeneous</a> iff  <a href="conaffm.html#NR4" title="CONAFFM:NR.4">ODES_holds_in</a> <font color="Maroon" title="c1">MS</font> )
 <b>by </b><i><a class="ref" href="euclmetr.html#D7" target="_self" title="EUCLMETR:def.7">Def7</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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