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<span class="kw">let </span><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>; <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">G3</font> being   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c1">G1</font><br/>  for <font color="Olive" title="b2">G4</font> being   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c2">G2</font>  st <font color="Olive" title="b2">G4</font> is <font color="Olive" title="b1">G3</font> <a href="glib_010.html#V19" title="GLIB_010:attr.19">-isomorphic</a>  holds <br/><font color="Maroon" title="c1">G1</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a> ,<font color="Maroon" title="c2">G2</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  <a href="glib_015.html#R2" title="GLIB_015:pred.2">are_isomorphic</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">G3</font> be   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c1">G1</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">  for <font color="Olive" title="b1">G4</font> being   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c2">G2</font>  st <font color="Olive" title="b1">G4</font> is <font color="Maroon" title="c3">G3</font> <a href="glib_010.html#V19" title="GLIB_010:attr.19">-isomorphic</a>  holds <br/><font color="Maroon" title="c1">G1</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a> ,<font color="Maroon" title="c2">G2</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  <a href="glib_015.html#R2" title="GLIB_015:pred.2">are_isomorphic</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c4">G4</font> be   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c2">G2</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"> ( <font color="Maroon" title="c4">G4</font> is <font color="Maroon" title="c3">G3</font> <a href="glib_010.html#V19" title="GLIB_010:attr.19">-isomorphic</a>  implies <font color="Maroon" title="c1">G1</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a> ,<font color="Maroon" title="c2">G2</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  <a href="glib_015.html#R2" title="GLIB_015:pred.2">are_isomorphic</a>  )</span><br/>







<a NAME="E1:197"/>
( <font color="Maroon" title="c1">G1</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">G3</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  &amp; <font color="Maroon" title="c2">G2</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">G4</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T146" target="_self" onmouseover="rs('glenum00/T146')" onmouseout="rh()">Th146</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:197"/>
( <font color="Maroon" title="c4">G4</font> is <font color="Maroon" title="c3">G3</font> <a href="glib_010.html#V19" title="GLIB_010:attr.19">-isomorphic</a>  implies <font color="Maroon" title="c1">G1</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a> ,<font color="Maroon" title="c2">G2</font> <a href="glenum00.html#K12" title="GLENUM00:func.12">.allTrees()</a>  <a href="glib_015.html#R2" title="GLIB_015:pred.2">are_isomorphic</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T152" target="_self" onmouseover="rs('glenum00/T152')" onmouseout="rh()">Th152</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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