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<div><span class="kw">theorem </span><a NAME="T100"><span class="comment"><font color="firebrick">:: GLIB_010:100</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font>, <font color="Olive" title="b3">G3</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b4">F1</font> being    <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">G2</font><br/>  for <font color="Olive" title="b5">F2</font> being    <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Olive" title="b2">G2</font>,<font color="Olive" title="b3">G3</font> holds <br/> ( <span class="p1">(<span class="default"><font color="Olive" title="b5">F2</font> <a href="glib_010.html#K13" title="GLIB_010:func.13">*</a> <font color="Olive" title="b4">F1</font></span>)</span> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a>  <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">F2</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">F1</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Olive" title="b5">F2</font> <a href="glib_010.html#K13" title="GLIB_010:func.13">*</a> <font color="Olive" title="b4">F1</font></span>)</span> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a>  <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">F2</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">F1</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> ) ;<br/></div></div>
