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<span class="kw">let </span><font color="Maroon" title="c1">s</font> be   <a href="sprect_1.html#V1" title="SPRECT_1:attr.1">rectangular</a>  <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</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"> ( <font color="Maroon" title="c1">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K25" title="PSCOMP_1:func.25">S-min</a> <span class="p1">(<span class="default"><a href="topreal1.html#K3" title="TOPREAL1:func.3">L~</a> <font color="Maroon" title="c1">s</font></span>)</span> &amp; <font color="Maroon" title="c1">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K18" title="PSCOMP_1:func.18">W-min</a> <span class="p1">(<span class="default"><a href="topreal1.html#K3" title="TOPREAL1:func.3">L~</a> <font color="Maroon" title="c1">s</font></span>)</span> )</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c2">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="compts_1.html#V2" title="COMPTS_1:attr.2">compact</a>   non  <a href="sppol_1.html#V1" title="SPPOL_1:attr.1">horizontal</a>   non  <a href="sppol_1.html#V2" title="SPPOL_1:attr.2">vertical</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span><span class="kw"> such that </span><br/><a NAME="E2:100"/><span class="lab"><font color="Green" title="E77">A1</font></span>: 
<font color="Maroon" title="c1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sprect_1.html#K1" title="SPRECT_1:func.1">SpStSeq</a> <font color="Maroon" title="c2">D</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="sprect_1.html#D2" target="_self" onmouseover="rs('sprect_1/D2')" onmouseout="rh()">Def2</a></span>;<br/>
<a NAME="E3:100"/><span class="lab"><font color="Green" title="E78">A2</font></span>: 
<font color="Maroon" title="c1">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K10" title="PSCOMP_1:func.10">SW-corner</a> <font color="Maroon" title="c2">D</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:100"><span class="lab"><font color="Green" title="E77">A1</font></span></a>, <a class="ref" href="sprect_1.html#T38" target="_self" onmouseover="rs('sprect_1/T38')" onmouseout="rh()">Th38</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:100"/>
<font color="Maroon" title="c1">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K25" title="PSCOMP_1:func.25">S-min</a> <span class="p1">(<span class="default"><a href="topreal1.html#K3" title="TOPREAL1:func.3">L~</a> <font color="Maroon" title="c1">s</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:100"><span class="lab"><font color="Green" title="E77">A1</font></span></a>, <a class="ref" href="sprect_1.html#T80" target="_self" onmouseover="rs('sprect_1/T80')" onmouseout="rh()">Th80</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"> <font color="Maroon" title="c1">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K18" title="PSCOMP_1:func.18">W-min</a> <span class="p1">(<span class="default"><a href="topreal1.html#K3" title="TOPREAL1:func.3">L~</a> <font color="Maroon" title="c1">s</font></span>)</span></span><br/>

<span class="kw">thus </span><a NAME="E5:100"/>
<font color="Maroon" title="c1">s</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K18" title="PSCOMP_1:func.18">W-min</a> <span class="p1">(<span class="default"><a href="topreal1.html#K3" title="TOPREAL1:func.3">L~</a> <font color="Maroon" title="c1">s</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:100"><span class="lab"><font color="Green" title="E77">A1</font></span></a>, <a class="txt" href="#E3:100"><span class="lab"><font color="Green" title="E78">A2</font></span></a>, <a class="ref" href="sprect_1.html#T74" target="_self" onmouseover="rs('sprect_1/T74')" onmouseout="rh()">Th74</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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