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<span class="kw">let </span><font color="Maroon" title="c1">D</font> be   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">CR</font>, <font color="Olive" title="b2">r</font> being    <a href="filerec1.html#NM1" title="FILEREC1:NM.1">File</a> of <font color="Maroon" title="c1">D</font> holds   <a href="finseq_8.html#K9" title="FINSEQ_8:func.9">addcr</a> (<font color="Olive" title="b2">r</font>,<font color="Olive" title="b1">CR</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_8.html#K6" title="FINSEQ_8:func.6">ovlldiff</a> (<font color="Olive" title="b2">r</font>,<font color="Olive" title="b1">CR</font>)</span>)</span> <a href="finseq_8.html#K1" title="FINSEQ_8:func.1">^</a> <font color="Olive" title="b1">CR</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">CR</font>, <font color="Maroon" title="c3">r</font> be    <a href="filerec1.html#NM1" title="FILEREC1:NM.1">File</a> of <font color="Maroon" title="c1">D</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="finseq_8.html#K9" title="FINSEQ_8:func.9">addcr</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_8.html#K6" title="FINSEQ_8:func.6">ovlldiff</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)</span>)</span> <a href="finseq_8.html#K1" title="FINSEQ_8:func.1">^</a> <font color="Maroon" title="c2">CR</font></span><br/>



 <a href="finseq_8.html#K9" title="FINSEQ_8:func.9">addcr</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>) = 
 <a href="finseq_8.html#K5" title="FINSEQ_8:func.5">ovlcon</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_8.html#D11" title="FINSEQ_8:def.11">FINSEQ_8:def 11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="finseq_8.html#K6" title="FINSEQ_8:func.6">ovlldiff</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)</span>)</span> <a href="finseq_8.html#K1" title="FINSEQ_8:func.1">^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_8.html#K4" title="FINSEQ_8:func.4">ovlpart</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)</span>)</span> <a href="finseq_8.html#K1" title="FINSEQ_8:func.1">^</a> <span class="p2">(<span class="default"><a href="finseq_8.html#K7" title="FINSEQ_8:func.7">ovlrdiff</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_8.html#T12" title="FINSEQ_8:th.12">FINSEQ_8:12</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="finseq_8.html#K6" title="FINSEQ_8:func.6">ovlldiff</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)</span>)</span> <a href="finseq_8.html#K1" title="FINSEQ_8:func.1">^</a> <font color="Maroon" title="c2">CR</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="filerec1.html#T31" target="_self" title="FILEREC1:th.31">Th32</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:35"/>
 <a href="finseq_8.html#K9" title="FINSEQ_8:func.9">addcr</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_8.html#K6" title="FINSEQ_8:func.6">ovlldiff</a> (<font color="Maroon" title="c3">r</font>,<font color="Maroon" title="c2">CR</font>)</span>)</span> <a href="finseq_8.html#K1" title="FINSEQ_8:func.1">^</a> <font color="Maroon" title="c2">CR</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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