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<b>let </b><font color="Maroon">c<sub>22</sub></font> be   <a href="topreal2.html#NM1">Simple_closed_curve</a>;<br/><b>let </b><font color="Maroon">c<sub>23</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>24</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> <a href="pre_topc.html#K3">|</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>22</sub></font> <a href="subset_1.html#K3">`</a> </span>)</span></span>)</span>;<br/>





<a NAME="E1:155"/>
not  <a href="jordan2c.html#K1">BDD</a> <font color="Maroon">c<sub>22</sub></font> is <a href="xboole_0.html#V1">empty</a>
 
;<br/>
<b>hence </b><a NAME="E2:155"/>
( <font color="Maroon">c<sub>24</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>23</sub></font> &amp; <font color="Maroon">c<sub>24</sub></font> <a href="connsp_1.html#R3">is_a_component_of</a> <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> <a href="pre_topc.html#K3">|</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>22</sub></font> <a href="subset_1.html#K3">`</a> </span>)</span> implies <font color="Maroon">c<sub>22</sub></font> <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K2">Fr</a> <font color="Maroon">c<sub>23</sub></font> )
 <b>by </b><i><a class="txt" href="jordan.html#E94"><i><font color="Green">Lemma81</font></i></a></i>;<br/>


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