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<b>let </b><font color="Maroon" title="c21">F</font> be   <a href="realset2.html#NM2" title="REALSET2:NM.2">Field</a>;<br/><b>let </b><font color="Maroon" title="c22">a</font>, <font color="Maroon" title="c23">b</font>, <font color="Maroon" title="c24">c</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="realset2.html#K2" title="REALSET2:func.2">suppf</a> <font color="Maroon" title="c21">F</font>;<br/>



<a NAME="E1:51"/><i><font color="Green" title="E69">A1</font></i>: 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="realset2.html#K4" title="REALSET2:func.4">ndf</a> <font color="Maroon" title="c21">F</font>
 
<b>by </b><i><a class="ref" href="realset2.html#D14" target="_self" title="REALSET2:def.14">Def14</a></i>;<br/>
<i><font color="Green" title="E70">A2</font></i>: <span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span></span>)</span>,<font color="Maroon" title="c24">c</font> = 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span>,<font color="Maroon" title="c24">c</font></span>)</span>
<b>by </b><i><a class="ref" href="realset2.html#T4" target="_self" title="REALSET2:th.4">Th4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c24">c</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="realset2.html#T5" target="_self" title="REALSET2:th.5">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p1">(<span class="default"><a href="realset2.html#K4" title="REALSET2:func.4">ndf</a> <font color="Maroon" title="c21">F</font></span>)</span>
<b>by </b><i><a class="ref" href="realset2.html#D14" target="_self" title="REALSET2:def.14">Def14</a></i>
<br/>.= 
<font color="Maroon" title="c23">b</font>
<b>by </b><i><a class="ref" href="realset2.html#T6" target="_self" title="REALSET2:th.6">Th6</a></i>
;<br/>
<span class="p1">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="realset2.html#E1:51"><i><font color="Green" title="E69">A1</font></i></a>, <a class="ref" href="realset2.html#T6" target="_self" title="REALSET2:th.6">Th6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="realset2.html#T4" target="_self" title="REALSET2:th.4">Th4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c23">b</font></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="realset2.html#E2:51"><i><font color="Green" title="E70">A2</font></i></a>, <a class="ref" href="realset2.html#T3" target="_self" title="REALSET2:th.3">Th3</a></i>
;<br/>
<b>hence </b><a NAME="E4:51"/>
<span class="p1">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c23">b</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c24">c</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="realset2.html#K3" title="REALSET2:func.3">odf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c23">b</font></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">compf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">omf</a> <font color="Maroon" title="c21">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c22">a</font>,<font color="Maroon" title="c24">c</font></span>)</span></span>)</span>
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