<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c2">X2</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">S1</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">X1</font><br/>  for <font color="Olive" title="b2">S2</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c2">X2</font><br/>  for <font color="Olive" title="b3">F</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Olive" title="b1">S1</font>,<font color="Olive" title="b2">S2</font>)</span>)</span><br/>  for <font color="Olive" title="b4">Fy</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b2">S2</font><br/>  for <font color="Olive" title="b5">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b3">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b4">Fy</font> &amp; (  for <font color="Olive" title="b6">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b6">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b4">Fy</font> holds <br/><font color="Olive" title="b4">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b6">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b6">n</font></span>)</span>,<font color="Olive" title="b5">p</font>) ) holds <br/> <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b3">F</font></span>)</span>,<font color="Olive" title="b5">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b4">Fy</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">S1</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">X1</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">S2</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c2">X2</font><br/>  for <font color="Olive" title="b2">F</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Maroon" title="c3">S1</font>,<font color="Olive" title="b1">S2</font>)</span>)</span><br/>  for <font color="Olive" title="b3">Fy</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">S2</font><br/>  for <font color="Olive" title="b4">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b3">Fy</font> &amp; (  for <font color="Olive" title="b5">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b5">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b3">Fy</font> holds <br/><font color="Olive" title="b3">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b5">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b5">n</font></span>)</span>,<font color="Olive" title="b4">p</font>) ) holds <br/> <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b2">F</font></span>)</span>,<font color="Olive" title="b4">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b3">Fy</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">S2</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c2">X2</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">F</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Maroon" title="c3">S1</font>,<font color="Maroon" title="c4">S2</font>)</span>)</span><br/>  for <font color="Olive" title="b2">Fy</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c4">S2</font><br/>  for <font color="Olive" title="b3">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">Fy</font> &amp; (  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b4">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b2">Fy</font> holds <br/><font color="Olive" title="b2">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b4">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Olive" title="b1">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b4">n</font></span>)</span>,<font color="Olive" title="b3">p</font>) ) holds <br/> <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b1">F</font></span>)</span>,<font color="Olive" title="b3">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b2">Fy</font></span><br/><span class="kw">let </span><font color="Maroon" title="c5">F</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="prob_1.html#K9" title="PROB_1:func.9">sigma</a> <span class="p1">(<span class="default"><a href="measur10.html#K3" title="MEASUR10:func.3">measurable_rectangles</a> (<font color="Maroon" title="c3">S1</font>,<font color="Maroon" title="c4">S2</font>)</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">  for <font color="Olive" title="b1">Fy</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c4">S2</font><br/>  for <font color="Olive" title="b2">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c5">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">Fy</font> &amp; (  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">Fy</font> holds <br/><font color="Olive" title="b1">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b3">n</font></span>)</span>,<font color="Olive" title="b2">p</font>) ) holds <br/> <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c5">F</font></span>)</span>,<font color="Olive" title="b2">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Olive" title="b1">Fy</font></span><br/><span class="kw">let </span><font color="Maroon" title="c6">Fy</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c4">S2</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">p</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c5">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">Fy</font> &amp; (  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">Fy</font> holds <br/><font color="Maroon" title="c6">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b2">n</font></span>)</span>,<font color="Olive" title="b1">p</font>) ) holds <br/> <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c5">F</font></span>)</span>,<font color="Olive" title="b1">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c6">Fy</font></span><br/><span class="kw">let </span><font color="Maroon" title="c7">p</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"> (  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c5">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">Fy</font> &amp; (  for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b1">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">Fy</font> holds <br/><font color="Maroon" title="c6">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b1">n</font></span>)</span>,<font color="Maroon" title="c7">p</font>) ) implies  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c5">F</font></span>)</span>,<font color="Maroon" title="c7">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c6">Fy</font> )</span><br/>











<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:60"/><span class="lab"><font color="Green" title="E44">A1</font></span>: 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c5">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">Fy</font>
 <span class="kw">and </span><br/><a NAME="E2:60"/><span class="lab"><font color="Green" title="E45">A2</font></span>: 
 for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b1">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">Fy</font> holds <br/><font color="Maroon" title="c6">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b1">n</font></span>)</span>,<font color="Maroon" title="c7">p</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="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c5">F</font></span>)</span>,<font color="Maroon" title="c7">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c6">Fy</font></span><br/>

<a NAME="E3:60"/><span class="lab"><font color="Green" title="E46">A3</font></span>: 
 <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Maroon" title="c5">F</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c5">F</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#D4" onmouseover="rs('card_3/D4')" onmouseout="rh()">CARD_3:def 4</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c8">F1</font> = <font color="Maroon" title="c5">F</font> as    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T24" onmouseover="rs('finseq_2/T24')" onmouseout="rh()">FINSEQ_2:24</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c9">F1y</font> = <font color="Maroon" title="c6">Fy</font> as    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <font color="Maroon" title="c2">X2</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T24" onmouseover="rs('finseq_2/T24')" onmouseout="rh()">FINSEQ_2:24</a></span>;<br/>
<a NAME="E6:60"/>
 for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b1">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c9">F1y</font> holds <br/><font color="Maroon" title="c9">F1y</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K7" title="MEASUR11:func.7">X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c8">F1</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Olive" title="b1">n</font></span>)</span>,<font color="Maroon" title="c7">p</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="60_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c10">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"> ( <font color="Maroon" title="c10">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c9">F1y</font> implies <font color="Maroon" title="c9">F1y</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K7" title="MEASUR11:func.7">X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c8">F1</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font></span>)</span>,<font color="Maroon" title="c7">p</font>) )</span><br/>

<span class="kw">assume </span><a NAME="E1:60_1"/>
<font color="Maroon" title="c10">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c9">F1y</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="c9">F1y</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K7" title="MEASUR11:func.7">X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c8">F1</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font></span>)</span>,<font color="Maroon" title="c7">p</font>)</span><br/>

<a NAME="E2:60_1"/><span class="kw">then </span>
<font color="Maroon" title="c6">Fy</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c5">F</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font></span>)</span>,<font color="Maroon" title="c7">p</font>)
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:60"><span class="lab"><font color="Green" title="E45">A2</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:60_1"/>
<font color="Maroon" title="c9">F1y</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K7" title="MEASUR11:func.7">X-section</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c8">F1</font> <a href="prob_3.html#K8" title="PROB_3:func.8">.</a> <font color="Maroon" title="c10">n</font></span>)</span>,<font color="Maroon" title="c7">p</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"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E7:60"/><span class="kw">then </span>
 <a href="measur11.html#K7" title="MEASUR11:func.7">X-section</a> (<span class="p1">(<span class="default"><a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <span class="p2">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Maroon" title="c8">F1</font></span>)</span></span>)</span>,<font color="Maroon" title="c7">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Maroon" title="c9">F1y</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:60"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="ref" href="measur11.html#T28" target="_self" onmouseover="rs('measur11/T28')" onmouseout="rh()">Th22</a></span>;<br/>
<span class="kw">hence </span><a NAME="E8:60"/>
 <a href="measur11.html#K9" title="MEASUR11:func.9">Measurable-X-section</a> (<span class="p1">(<span class="default"><a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c5">F</font></span>)</span>,<font color="Maroon" title="c7">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measur11.html#K2" title="MEASUR11:func.2">Union</a> <font color="Maroon" title="c6">Fy</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:60"><span class="lab"><font color="Green" title="E46">A3</font></span></a>, <a class="ref" href="card_3.html#D4" onmouseover="rs('card_3/D4')" onmouseout="rh()">CARD_3:def 4</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>
