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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="glib_000.html#V6" title="GLIB_000:attr.6">non-Dmulti</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="glunir00.html#K3" title="GLUNIR00:func.3">createGraph</a> (<span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font></span>)</span>,<span class="p1">(<span class="default"><a href="glunir00.html#K1" title="GLUNIR00:func.1">VertexDomRel</a> <font color="Maroon" title="c1">G</font></span>)</span>) is <font color="Maroon" title="c1">G</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">G9</font> =  <a href="glunir00.html#K3" title="GLUNIR00:func.3">createGraph</a> (<span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font></span>)</span>,<span class="p1">(<span class="default"><a href="glunir00.html#K1" title="GLUNIR00:func.1">VertexDomRel</a> <font color="Maroon" title="c1">G</font></span>)</span>);<br/>
<span class="kw">consider </span><font color="Maroon" title="c3">F</font> being    <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Maroon" title="c1">G</font>, <a href="glunir00.html#K3" title="GLUNIR00:func.3">createGraph</a> (<span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font></span>)</span>,<span class="p1">(<span class="default"><a href="glunir00.html#K1" title="GLUNIR00:func.1">VertexDomRel</a> <font color="Maroon" title="c1">G</font></span>)</span>)<span class="kw"> such that </span><br/><a NAME="E2:129"/><span class="lab"><font color="Green" title="E62">A1</font></span>: 
<font color="Maroon" title="c3">F</font> is  <a href="glib_010.html#V18" title="GLIB_010:attr.18">Disomorphism</a> 
 <span class="kw">and </span><br/><a NAME="E3:129"/>
( <font color="Maroon" title="c3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font></span>)</span> &amp; (  for <font color="Olive" title="b1">e</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b1">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Maroon" title="c1">G</font> holds <br/><span class="p1">(<span class="default"><font color="Maroon" title="c3">F</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K10" title="GLIB_000:func.10">the_Source_of</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">e</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K11" title="GLIB_000:func.11">the_Target_of</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">e</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> ) )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="glunir00.html#T86" target="_self" onmouseover="rs('glunir00/T86')" onmouseout="rh()">Th86</a></span>;<br/>
<span class="kw">thus </span><a NAME="E4:129"/>
 <a href="glunir00.html#K3" title="GLUNIR00:func.3">createGraph</a> (<span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font></span>)</span>,<span class="p1">(<span class="default"><a href="glunir00.html#K1" title="GLUNIR00:func.1">VertexDomRel</a> <font color="Maroon" title="c1">G</font></span>)</span>) is <font color="Maroon" title="c1">G</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:129"><span class="lab"><font color="Green" title="E62">A1</font></span></a>, <a class="ref" href="glib_010.html#D24" onmouseover="rs('glib_010/D24')" onmouseout="rh()">GLIB_010:def 24</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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