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

<b>let </b><font color="Maroon" title="c17">F</font> be   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Field</a>;<br/><b>let </b><font color="Maroon" title="c18">a</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c17">F</font>) <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c17">F</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>;<br/><b>let </b><font color="Maroon" title="c19">b</font>, <font color="Maroon" title="c20">c</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c17">F</font>);<br/>





<b>reconsider </b><font color="Maroon" title="c21">x</font> = <font color="Maroon" title="c18">a</font>, <font color="Maroon" title="c22">y</font> = <font color="Maroon" title="c19">b</font>, <font color="Maroon" title="c23">z</font> = <font color="Maroon" title="c20">c</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c17">F</font> ;<br/>
<b>assume </b><a NAME="E2:47"/><i><font color="Green" title="E39">A1</font></i>: 
<font color="Maroon" title="c18">a</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c19">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">a</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c20">c</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c24">ra</font> = <span class="p1">(<span class="default"><a href="realset2.html#K7" title="REALSET2:func.7">revf</a> <font color="Maroon" title="c17">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c18">a</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c17">F</font> <b>by </b><i><a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</a></i>;<br/>
<font color="Maroon" title="c19">b</font> = 
<span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Maroon" title="c17">F</font></span>)</span> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c19">b</font>
<b>by </b><i><a class="ref" href="realset2.html#T25" target="_self" title="REALSET2:th.25">Th25</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="realset2.html#K4" title="REALSET2:func.4">omf</a> <font color="Maroon" title="c17">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">nmf</a> <font color="Maroon" title="c17">F</font></span>)</span>,<font color="Maroon" title="c19">b</font>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c21">x</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c24">ra</font></span>)</span> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c19">b</font>
<b>by </b><i><a class="ref" href="realset2.html#D18" target="_self" title="REALSET2:def.18">Def18</a></i>
<br/>.= 
<font color="Maroon" title="c24">ra</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c21">x</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c20">c</font></span>)</span>
<b>by </b><i><a class="txt" href="realset2.html#E2:47"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="realset2.html#T23" target="_self" title="REALSET2:th.23">Th23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c21">x</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c24">ra</font></span>)</span> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c20">c</font>
<b>by </b><i><a class="ref" href="realset2.html#T23" target="_self" title="REALSET2:th.23">Th23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="realset2.html#K4" title="REALSET2:func.4">omf</a> <font color="Maroon" title="c17">F</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><a href="realset2.html#K5" title="REALSET2:func.5">nmf</a> <font color="Maroon" title="c17">F</font></span>)</span>,<font color="Maroon" title="c20">c</font>
<b>by </b><i><a class="ref" href="realset2.html#D18" target="_self" title="REALSET2:def.18">Def18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Maroon" title="c17">F</font></span>)</span> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <font color="Maroon" title="c20">c</font>

<br/>.= 
<font color="Maroon" title="c20">c</font>
<b>by </b><i><a class="ref" href="realset2.html#T25" target="_self" title="REALSET2:th.25">Th25</a></i>
;<br/>
<b>hence </b><a NAME="E5:47"/>
<font color="Maroon" title="c19">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c20">c</font>
 ;<br/>


</div>
