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

<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</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">G</font> is <a href="glib_000.html#V5" title="GLIB_000:attr.5">non-multi</a> implies <font color="Maroon" title="c1">G</font> is <a href="glib_000.html#V6" title="GLIB_000:attr.6">non-Dmulti</a> )</span><br/>

<b>assume </b><a NAME="E1:22_1_1"/><i><font color="Green" title="E17">A1</font></i>: 
<font color="Maroon" title="c1">G</font> is <a href="glib_000.html#V5" title="GLIB_000:attr.5">non-multi</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">G</font> is <a href="glib_000.html#V6" title="GLIB_000:attr.6">non-Dmulti</a></span><br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c2">e1</font>, <font color="Maroon" title="c3">e2</font>, <font color="Maroon" title="c4">v1</font>, <font color="Maroon" title="c5">v2</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">e1</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <font color="Maroon" title="c4">v1</font>,<font color="Maroon" title="c5">v2</font>,<font color="Maroon" title="c1">G</font> &amp; <font color="Maroon" title="c3">e2</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <font color="Maroon" title="c4">v1</font>,<font color="Maroon" title="c5">v2</font>,<font color="Maroon" title="c1">G</font> implies <font color="Maroon" title="c2">e1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">e2</font> )</span><br/><b>assume </b><a NAME="E1:22_1_1_1"/>
( <font color="Maroon" title="c2">e1</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <font color="Maroon" title="c4">v1</font>,<font color="Maroon" title="c5">v2</font>,<font color="Maroon" title="c1">G</font> &amp; <font color="Maroon" title="c3">e2</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <font color="Maroon" title="c4">v1</font>,<font color="Maroon" title="c5">v2</font>,<font color="Maroon" title="c1">G</font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">e1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">e2</font></span><br/><a NAME="E2:22_1_1_1"/><b>then </b>
( <font color="Maroon" title="c2">e1</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c4">v1</font>,<font color="Maroon" title="c5">v2</font>,<font color="Maroon" title="c1">G</font> &amp; <font color="Maroon" title="c3">e2</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c4">v1</font>,<font color="Maroon" title="c5">v2</font>,<font color="Maroon" title="c1">G</font> )
 <b>by </b><i><a class="txt" href="glib_000.html#E20"><i><font color="Green" title="E8">Lm2</font></i></a></i>;<br/><b>hence </b><a NAME="E3:22_1_1_1"/>
<font color="Maroon" title="c2">e1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">e2</font>
 <b>by </b><i><a class="txt" href="#E1:22_1_1"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="glib_000.html#D22" target="_self" title="GLIB_000:def.22">Def22</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:22_1_1"/>
<font color="Maroon" title="c1">G</font> is <a href="glib_000.html#V6" title="GLIB_000:attr.6">non-Dmulti</a>
 <b>by </b><i><a class="ref" href="glib_000.html#D23" target="_self" title="GLIB_000:def.23">Def23</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
