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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th14</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: CONLAT_2:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b2">C</font> being   <a href="conlat_1.html#NM1" title="CONLAT_1:NM.1">FormalContext</a> holds <br/> (  <a href="conlat_1.html#K11" title="CONLAT_1:func.11">ConceptLattice</a> <font color="Olive" title="b2">C</font>,<font color="Olive" title="b1">L</font> <a href="filter_1.html#R1" title="FILTER_1:pred.1">are_isomorphic</a>  iff  ex <font color="Olive" title="b3">g</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">C</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">L</font> ex <font color="Olive" title="b4">d</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b2">C</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">L</font> st <br/>(  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">g</font> is  <a href="lattice6.html#V8" title="LATTICE6:attr.8">supremum-dense</a>  &amp;  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b4">d</font> is  <a href="lattice6.html#V9" title="LATTICE6:attr.9">infimum-dense</a>  &amp; (  for <font color="Olive" title="b5">o</font> being   <a href="conlat_1.html#NM2" title="CONLAT_1:NM.2">Object</a> of <font color="Olive" title="b2">C</font><br/>  for <font color="Olive" title="b6">a</font> being   <a href="conlat_1.html#NM3" title="CONLAT_1:NM.3">Attribute</a> of <font color="Olive" title="b2">C</font> holds <br/> ( <font color="Olive" title="b5">o</font> <a href="conlat_1.html#R1" title="CONLAT_1:pred.1">is-connected-with</a> <font color="Olive" title="b6">a</font> iff <font color="Olive" title="b3">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">o</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b4">d</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b6">a</font> ) ) ) )</div></div>
