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<b>let </b><font color="Maroon" title="c1">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c2">d</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">zero</a>  <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c3">G</font> be    <a href="chain_1.html#M1" title="CHAIN_1:mode.1">Grating</a> of <font color="Maroon" title="c2">d</font>;<br/><b>let </b><font color="Maroon" title="c4">A</font> be   <a href="chain_1.html#NM3" title="CHAIN_1:NM.3">Cell</a> of <font color="Maroon" title="c1">k</font>,<font color="Maroon" title="c3">G</font>;<br/><b>let </b><font color="Maroon" title="c5">C</font> be   <a href="chain_1.html#NM4" title="CHAIN_1:NM.4">Chain</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span>,<font color="Maroon" title="c3">G</font>;<br/>









<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="chain_1.html#NM3" title="CHAIN_1:NM.3">Cell</a> of <font color="Maroon" title="c1">k</font>,<font color="Maroon" title="c3">G</font>] <b>means </b>( <font color="Maroon" title="c1">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c2">d</font> &amp; not  <a href="card_1.html#K5" title="CARD_1:func.5">card</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="chain_1.html#K10" title="CHAIN_1:func.10">star</a> $1</span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Maroon" title="c5">C</font></span>)</span> is <a href="abian.html#V1" title="ABIAN:attr.1">even</a> );<br/>
<a NAME="E1:80"/><i><font color="Green" title="E53">A1</font></i>: 
 <a href="chain_1.html#K11" title="CHAIN_1:func.11">del</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">A'</font> where <font color="Olive" title="b1">A'</font> is   <a href="chain_1.html#NM3" title="CHAIN_1:NM.3">Cell</a> of <font color="Maroon" title="c1">k</font>,<font color="Maroon" title="c3">G</font> : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">A'</font>] </span>}</span> 
 
;<br/>
<b>thus </b><a NAME="E2:80"/>
( <font color="Maroon" title="c4">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="chain_1.html#K11" title="CHAIN_1:func.11">del</a> <font color="Maroon" title="c5">C</font> iff <font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c4">A</font>] )
 <b>from </b><i><a class="ref" href="lmod_7.html#S7" title="LMOD_7:sch.7">LMOD_7:sch 7</a>(<a class="txt" href="chain_1.html#E1:80"><i><font color="Green" title="E53">A1</font></i></a>);</i><br/>


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