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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="glib_000.html#V12" title="GLIB_000:attr.12">Graph-yielding</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</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">S</font> being    <a href="glib_015.html#M1" title="GLIB_015:mode.1">GraphSum</a> of <font color="Maroon" title="c1">F</font><br/>  for <font color="Olive" title="b2">G9</font> being    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="glib_015.html#K9" title="GLIB_015:func.9">canGFDistinction</a> <font color="Maroon" title="c1">F</font></span>)</span> holds  <font color="Olive" title="b1">S</font> is <font color="Olive" title="b2">G9</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">S</font> be    <a href="glib_015.html#M1" title="GLIB_015:mode.1">GraphSum</a> of <font color="Maroon" title="c1">F</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">G9</font> being    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="glib_015.html#K9" title="GLIB_015:func.9">canGFDistinction</a> <font color="Maroon" title="c1">F</font></span>)</span> holds  <font color="Maroon" title="c2">S</font> is <font color="Olive" title="b1">G9</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">G9</font> be    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="glib_015.html#K9" title="GLIB_015:func.9">canGFDistinction</a> <font color="Maroon" title="c1">F</font></span>)</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"> <font color="Maroon" title="c2">S</font> is <font color="Maroon" title="c3">G9</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> </span><br/>





<span class="kw">consider </span><font color="Maroon" title="c4">G8</font> being    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="glib_015.html#K9" title="GLIB_015:func.9">canGFDistinction</a> <font color="Maroon" title="c1">F</font></span>)</span><span class="kw"> such that </span><br/><a NAME="E2:282"/><span class="lab"><font color="Green" title="E87">A1</font></span>: 
<font color="Maroon" title="c2">S</font> is <font color="Maroon" title="c4">G8</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="glib_015.html#D27" target="_self" onmouseover="rs('glib_015/D27')" onmouseout="rh()">Def27</a></span>;<br/>
<a NAME="E3:282"/>
<font color="Maroon" title="c4">G8</font> is <font color="Maroon" title="c3">G9</font> <a href="glib_010.html#V20" title="GLIB_010:attr.20">-Disomorphic</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glib_014.html#T22" onmouseover="rs('glib_014/T22')" onmouseout="rh()">GLIB_014:22</a>, <a class="ref" href="glibpre0.html#T78" onmouseover="rs('glibpre0/T78')" onmouseout="rh()">GLIBPRE0:78</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:282"/>
<font color="Maroon" title="c2">S</font> is <font color="Maroon" title="c3">G9</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="#E2:282"><span class="lab"><font color="Green" title="E87">A1</font></span></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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