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<span class="kw">let </span><font color="Maroon" title="c1">V</font>, <font color="Maroon" title="c2">A</font> be    <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">D</font> being    <a href="nomin_1.html#M1" title="NOMIN_1:mode.1">NonatomicND</a> of <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font> holds   <a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>,<font color="Olive" title="b1">D</font>,<font color="Olive" title="b1">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">D</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">D</font> be    <a href="nomin_1.html#M1" title="NOMIN_1:mode.1">NonatomicND</a> of <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</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">  <a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">D</font>,<font color="Maroon" title="c3">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">D</font></span><br/>





<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="97_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:97_1"/>
(  not <font color="Maroon" title="c3">D</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c2">A</font> or <font color="Maroon" title="c3">D</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c2">A</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="97_1_1"><span class="kw">suppose </span></a><a NAME="E1:97_1_1"/><span class="lab"><font color="Green" title="E54">A1</font></span>: 
 not <font color="Maroon" title="c3">D</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c2">A</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">  <a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">D</font>,<font color="Maroon" title="c3">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">D</font></span><br/><div class="add"><a NAME="E2:97_1_1"/>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Maroon" title="c3">D</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Maroon" title="c3">D</font>
 ;<br/><span class="kw">hence </span><a NAME="E3:97_1_1"/>
 <a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">D</font>,<font color="Maroon" title="c3">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">D</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:97_1_1"><span class="lab"><font color="Green" title="E54">A1</font></span></a>, <a class="ref" href="nomin_1.html#T65" target="_self" onmouseover="rs('nomin_1/T65')" onmouseout="rh()">Th65</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/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="97_1_2"><span class="kw">suppose </span></a><a NAME="E1:97_1_2"/><span class="lab"><font color="Green" title="E54">A2</font></span>: 
<font color="Maroon" title="c3">D</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c2">A</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">  <a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">D</font>,<font color="Maroon" title="c3">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">D</font></span><br/><div class="add"><a NAME="E2:97_1_2"/>
<font color="Maroon" title="c3">D</font> is    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="nomin_1.html#D6" target="_self" onmouseover="rs('nomin_1/D6')" onmouseout="rh()">Def6</a></span>;<br/><span class="kw">hence </span><a NAME="E3:97_1_2"/>
 <a href="nomin_1.html#K16" title="NOMIN_1:func.16">global_overlapping</a> (<font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">D</font>,<font color="Maroon" title="c3">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">D</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:97_1_2"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="ref" href="nomin_1.html#D16" target="_self" onmouseover="rs('nomin_1/D16')" onmouseout="rh()">Def16</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/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

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