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

<span class="kw">let </span><font color="Maroon" title="c4">O1</font> be   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Maroon" title="c1">X</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="c4">O1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">F1</font> <a href="mmlquery.html#K20" title="MMLQUERY:func.20">OR</a> <font color="Maroon" title="c3">F2</font> implies <font color="Maroon" title="c4">O1</font> is  <a href="mmlquery.html#V1" title="MMLQUERY:attr.1">filtering</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:57_1_1"/><span class="lab"><font color="Green" title="E20">A1</font></span>: 
<font color="Maroon" title="c4">O1</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Maroon" title="c2">F1</font> <a href="mmlquery.html#K20" title="MMLQUERY:func.20">OR</a> <font color="Maroon" title="c3">F2</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="c4">O1</font> is  <a href="mmlquery.html#V1" title="MMLQUERY:attr.1">filtering</a> </span><br/>

<a NAME="E2:57_1_1"/>
( <font color="Maroon" title="c2">F1</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a>  <a href="relat_1.html#K4" title="RELAT_1:func.4">id</a> <font color="Maroon" title="c1">X</font> &amp; <font color="Maroon" title="c3">F2</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a>  <a href="relat_1.html#K4" title="RELAT_1:func.4">id</a> <font color="Maroon" title="c1">X</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="mmlquery.html#D21" target="_self" onmouseover="rs('mmlquery/D21')" onmouseout="rh()">Def21</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:57_1_1"/>
<font color="Maroon" title="c4">O1</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a>  <a href="relat_1.html#K4" title="RELAT_1:func.4">id</a> <font color="Maroon" title="c1">X</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:57_1_1"><span class="lab"><font color="Green" title="E20">A1</font></span></a>, <a class="ref" href="xboole_1.html#T8" onmouseover="rs('xboole_1/T8')" onmouseout="rh()">XBOOLE_1:8</a></span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="mmlquery.html#D21" target="_self" onmouseover="rs('mmlquery/D21')" onmouseout="rh()">MMLQUERY:def 21</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/>


</div>
