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<b>let </b><font color="Maroon" title="c1">G1</font>, <font color="Maroon" title="c2">G2</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>;<br/><b>let </b><font color="Maroon" title="c3">e</font>, <font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">y</font>, <font color="Maroon" title="c6">X</font>, <font color="Maroon" title="c7">Y</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>













<b>assume </b><a NAME="E1:181"/>
<font color="Maroon" title="c1">G1</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Maroon" title="c2">G2</font>
 ;<br/>

<a NAME="E2:181"/><b>then </b>
<font color="Maroon" title="c1">G1</font> is    <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c2">G2</font>
 
<b>by </b><i><a class="ref" href="glib_000.html#T90" target="_self" title="GLIB_000:th.90">Th90</a></i>;<br/>
<b>hence </b><a NAME="E3:181"/>
( ( <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c1">G1</font> implies <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c2">G2</font> ) &amp; ( <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c1">G1</font> implies <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c2">G2</font> ) &amp; ( <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R3" title="GLIB_000:pred.3">SJoins</a> <font color="Maroon" title="c6">X</font>,<font color="Maroon" title="c7">Y</font>,<font color="Maroon" title="c1">G1</font> implies <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R3" title="GLIB_000:pred.3">SJoins</a> <font color="Maroon" title="c6">X</font>,<font color="Maroon" title="c7">Y</font>,<font color="Maroon" title="c2">G2</font> ) &amp; ( <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R4" title="GLIB_000:pred.4">DSJoins</a> <font color="Maroon" title="c6">X</font>,<font color="Maroon" title="c7">Y</font>,<font color="Maroon" title="c1">G1</font> implies <font color="Maroon" title="c3">e</font> <a href="glib_000.html#R4" title="GLIB_000:pred.4">DSJoins</a> <font color="Maroon" title="c6">X</font>,<font color="Maroon" title="c7">Y</font>,<font color="Maroon" title="c2">G2</font> ) )
 <b>by </b><i><a class="ref" href="glib_000.html#T75" target="_self" title="GLIB_000:th.75">Th75</a></i>;<br/>


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