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<div class="add">

<b>let </b><font color="Maroon" title="c3">G</font> be   <a href="graph_1.html#NM1" title="GRAPH_1:NM.1">Graph</a>;<br/><b>let </b><font color="Maroon" title="c4">G1</font> be  <a href="graph_1.html#V1" title="GRAPH_1:attr.1">strict</a> <a href="graph_1.html#NM1" title="GRAPH_1:NM.1">Graph</a>;<br/>



<b>thus </b><a NAME="E1:64"/>
( <font color="Maroon" title="c4">G1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="graph_1.html#K7" title="GRAPH_1:func.7">bool</a> <font color="Maroon" title="c3">G</font> implies <font color="Maroon" title="c4">G1</font> <a href="graph_1.html#R4" title="GRAPH_1:pred.4">c=</a> <font color="Maroon" title="c3">G</font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="64_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:64_1"/>
<font color="Maroon" title="c4">G1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="graph_1.html#K7" title="GRAPH_1:func.7">bool</a> <font color="Maroon" title="c3">G</font>
 ;<br/>

<a NAME="E2:64_1"/><b>then </b>
<font color="Maroon" title="c4">G1</font> is    <a href="graph_1.html#M3" title="GRAPH_1:mode.3">Subgraph</a> of <font color="Maroon" title="c3">G</font>
 
<b>by </b><i><a class="ref" href="graph_1.html#D24" target="_self" title="GRAPH_1:def.24">Def24</a></i>;<br/>
<b>hence </b><a NAME="E3:64_1"/>
<font color="Maroon" title="c4">G1</font> <a href="graph_1.html#R4" title="GRAPH_1:pred.4">c=</a> <font color="Maroon" title="c3">G</font>
 <b>by </b><i><a class="ref" href="graph_1.html#D23" target="_self" title="GRAPH_1:def.23">Def23</a></i>;<br/>


</div><b>end;</b></div>

<b>assume </b><a NAME="E2:64"/>
<font color="Maroon" title="c4">G1</font> <a href="graph_1.html#R4" title="GRAPH_1:pred.4">c=</a> <font color="Maroon" title="c3">G</font>
 ;<br/>

<a NAME="E3:64"/><b>then </b>
<font color="Maroon" title="c4">G1</font> is    <a href="graph_1.html#M3" title="GRAPH_1:mode.3">Subgraph</a> of <font color="Maroon" title="c3">G</font>
 
<b>by </b><i><a class="ref" href="graph_1.html#D23" target="_self" title="GRAPH_1:def.23">Def23</a></i>;<br/>
<b>hence </b><a NAME="E4:64"/>
<font color="Maroon" title="c4">G1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="graph_1.html#K7" title="GRAPH_1:func.7">bool</a> <font color="Maroon" title="c3">G</font>
 <b>by </b><i><a class="ref" href="graph_1.html#D24" target="_self" title="GRAPH_1:def.24">Def24</a></i>;<br/>


</div>
