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<div><span class="kw">theorem </span><a NAME="T29"><span class="comment"><font color="firebrick">:: GLIB_010:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b3">F</font> being   <a href="glib_010.html#V13" title="GLIB_010:attr.13">semi-Dcontinuous</a>   <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>  st (  for <font color="Olive" title="b4">v</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b4">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> holds <br/> ex <font color="Olive" title="b5">e</font>, <font color="Olive" title="b6">w</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  st <br/>( <font color="Olive" title="b5">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> &amp; <font color="Olive" title="b6">w</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">F</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="b3">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="b5">e</font> <a href="glib_000.html#R2" title="GLIB_000:pred.2">DJoins</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">v</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">w</font>,<font color="Olive" title="b2">G2</font> ) ) holds <br/><font color="Olive" title="b3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a>  is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> </div></div>
