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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <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">  for <font color="Olive" title="b1">H</font> being    <a href="glib_000.html#M1" title="GLIB_000:mode.1">Subgraph</a> of <font color="Maroon" title="c1">G</font> holds   <a href="glenum00.html#K13" title="GLENUM00:func.13">SubtreeRel</a> <font color="Olive" title="b1">H</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><a href="glenum00.html#K13" title="GLENUM00:func.13">SubtreeRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">H</font> be    <a href="glib_000.html#M1" title="GLIB_000:mode.1">Subgraph</a> of <font color="Maroon" title="c1">G</font>; <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="glenum00.html#K13" title="GLENUM00:func.13">SubtreeRel</a> <font color="Maroon" title="c2">H</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><a href="glenum00.html#K13" title="GLENUM00:func.13">SubtreeRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span></span><br/>



<span class="kw">thus </span> <a href="glenum00.html#K13" title="GLENUM00:func.13">SubtreeRel</a> <font color="Maroon" title="c2">H</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K1" title="GLENUM00:func.1">.allSG()</a></span>)</span></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T43" target="_self" onmouseover="rs('glenum00/T43')" onmouseout="rh()">Th43</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K1" title="GLENUM00:func.1">.allSG()</a></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="wellord1.html#T19" onmouseover="rs('wellord1/T19')" onmouseout="rh()">WELLORD1:19</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_1.html#T28" onmouseover="rs('xboole_1/T28')" onmouseout="rh()">XBOOLE_1:28</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T144" target="_self" onmouseover="rs('glenum00/T144')" onmouseout="rh()">Th144</a>, <a class="ref" href="xboole_1.html#T28" onmouseover="rs('xboole_1/T28')" onmouseout="rh()">XBOOLE_1:28</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="glenum00.html#K13" title="GLENUM00:func.13">SubtreeRel</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="toler_1.html#K1" title="TOLER_1:func.1">|_2</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">H</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="wellord1.html#T19" onmouseover="rs('wellord1/T19')" onmouseout="rh()">WELLORD1:19</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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