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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</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">A</font>, <font color="Olive" title="b2">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">n</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">n</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b2">B</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<font color="Olive" title="b3">n</font>)</span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c3">B</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</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">  for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c2">A</font>,<font color="Olive" title="b1">n</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c3">B</font>,<font color="Olive" title="b1">n</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">B</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<font color="Olive" title="b1">n</font>)</span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c4">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</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"> <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c3">B</font>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">B</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span><br/>







<span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c3">B</font>,<font color="Maroon" title="c4">n</font>)</span>)</span> = 
 <a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">B</font></span>)</span>,<font color="Maroon" title="c4">n</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo3.html#T17" target="_self" onmouseover="rs('fintopo3/T17')" onmouseout="rh()">Th17</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">B</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo3.html#T27" target="_self" onmouseover="rs('fintopo3/T27')" onmouseout="rh()">Th27</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:30"/>
<span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Maroon" title="c3">B</font>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">B</font></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a></span>)</span>,<font color="Maroon" title="c4">n</font>)</span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</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"> verum</span><br/>


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