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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E21">DefFlatten04</font></span>   defines <a href="poset_2.html#K6" title="POSET_2:func.6">Flatten</a> <a onclick="hs(this)" href="javascript:()">POSET_2:def 5 : <br/></a><span> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="poset_2.html#K4" title="POSET_2:func.4">FlatPoset</a> <font color="Olive" title="b1">X</font></span>)</span>,<span class="p1">(<span class="default"><a href="poset_2.html#K4" title="POSET_2:func.4">FlatPoset</a> <font color="Olive" title="b2">Y</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="poset_2.html#K6" title="POSET_2:func.6">Flatten</a> <font color="Olive" title="b3">f</font> iff ( <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">Y</font> &amp; (  for <font color="Olive" title="b5">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="poset_2.html#K4" title="POSET_2:func.4">FlatPoset</a> <font color="Olive" title="b1">X</font></span>)</span>  st <font color="Olive" title="b5">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b1">X</font> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">x</font> ) ) );<br/></span></div>
