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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#M2" title="HIDDEN:mode.2">set</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">f</font>, <font color="Olive" title="b2">CR</font> being    <a href="filerec1.html#NM1" title="FILEREC1:NM.1">File</a> of <font color="Maroon" title="c1">D</font> holds  <font color="Olive" title="b1">f</font> <a href="finseq_8.html#NR3" title="FINSEQ_8:NR.3">is_preposition_of</a>  <a href="finseq_8.html#K8" title="FINSEQ_8:func.8">addcr</a> (<font color="Olive" title="b1">f</font>,<font color="Olive" title="b2">CR</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">f</font>, <font color="Maroon" title="c3">CR</font> be    <a href="filerec1.html#NM1" title="FILEREC1:NM.1">File</a> of <font color="Maroon" title="c1">D</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">f</font> <a href="finseq_8.html#NR3" title="FINSEQ_8:NR.3">is_preposition_of</a>  <a href="finseq_8.html#K8" title="FINSEQ_8:func.8">addcr</a> (<font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">CR</font>)</span><br/>



 <a href="finseq_8.html#K8" title="FINSEQ_8:func.8">addcr</a> (<font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">CR</font>) = 
 <a href="finseq_8.html#K4" title="FINSEQ_8:func.4">ovlcon</a> (<font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">CR</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_8.html#D11" onmouseover="rs('finseq_8/D11')" onmouseout="rh()">FINSEQ_8:def 11</a></span>
<br/>.= 
<font color="Maroon" title="c2">f</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">CR</font> <a href="rfinseq.html#K2" title="RFINSEQ:func.2">/^</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p3">(<span class="default"><a href="finseq_8.html#K3" title="FINSEQ_8:func.3">ovlpart</a> (<font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">CR</font>)</span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_8.html#D3" onmouseover="rs('finseq_8/D3')" onmouseout="rh()">FINSEQ_8:def 3</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:27"/>
<font color="Maroon" title="c2">f</font> <a href="finseq_8.html#NR3" title="FINSEQ_8:NR.3">is_preposition_of</a>  <a href="finseq_8.html#K8" title="FINSEQ_8:func.8">addcr</a> (<font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">CR</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="filerec1.html#T24" target="_self" onmouseover="rs('filerec1/T24')" onmouseout="rh()">Th24</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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