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<div>:: <span class="kw">deftheorem </span>   defines <a href="glib_015.html#R2" title="GLIB_015:pred.2">are_isomorphic</a> <a onclick="hs(this)" href="javascript:()">GLIB_015:def 13 : <br/></a><span> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font> being   <a href="glib_014.html#V1" title="GLIB_014:attr.1">Graph-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b1">S1</font>,<font color="Olive" title="b2">S2</font> <a href="glib_015.html#R2" title="GLIB_015:pred.2">are_isomorphic</a>  iff  ex <font color="Olive" title="b3">f</font> being   <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> st <br/>(  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">S1</font> &amp;  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">S2</font> &amp; (  for <font color="Olive" title="b4">G</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>  st <font color="Olive" title="b4">G</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">S1</font> holds <br/><font color="Olive" title="b3">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">G</font> is  <font color="Olive">b<sub>4</sub></font> <a href="glib_010.html#V19" title="GLIB_010:attr.19">-isomorphic</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> ) ) );<br/></span></div>
