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<b>let </b><font color="Maroon" title="c4">T1</font>, <font color="Maroon" title="c5">T2</font> be  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a> <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Maroon" title="c1">S</font>;<br/>

<b>assume </b><a NAME="E1:78_1_2"/><i><font color="Green" title="E44">A5</font></i>: 
( the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c4">T1</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSSet</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font> &amp; ( for <font color="Olive" title="b1">o</font> being  <a href="osalg_1.html#NM2" title="OSALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c1">S</font> holds   <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> <font color="Olive" title="b1">o</font>,<font color="Maroon" title="c4">T1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> <font color="Olive" title="b1">o</font>,<font color="Maroon" title="c4">T1</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">z1</font> ) )
 ;<br/>

<b>assume </b><a NAME="E2:78_1_2"/><i><font color="Green" title="E45">A6</font></i>: 
( the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c5">T2</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSSet</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font> &amp; ( for <font color="Olive" title="b1">o</font> being  <a href="osalg_1.html#NM2" title="OSALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c1">S</font> holds   <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> <font color="Olive" title="b1">o</font>,<font color="Maroon" title="c5">T2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> <font color="Olive" title="b1">o</font>,<font color="Maroon" title="c5">T2</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">z1</font> ) )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="78_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c6">o1</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>assume </b><a NAME="E1:78_1_2_1"/><i><font color="Green" title="E46">A7</font></i>: 
<font color="Maroon" title="c6">o1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">OperSymbols</a> of <font color="Maroon" title="c1">S</font>
 ;<br/><b>reconsider </b><font color="Maroon" title="c7">o</font> = <font color="Maroon" title="c6">o1</font> as   <a href="osalg_1.html#NM2" title="OSALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c1">S</font> <b>by </b><i><a class="txt" href="osalg_1.html#E1:78_1_2_1"><i><font color="Green" title="E46">A7</font></i></a></i>;<br/><b>thus </b>the <a href="msualg_1.html#U5" title="MSUALG_1:sel.5">Charact</a> of <font color="Maroon" title="c4">T1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">o1</font> = 
 <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> <font color="Maroon" title="c7">o</font>,<font color="Maroon" title="c4">T1</font>
<b>by </b><i><a class="ref" href="msualg_1.html#D11" title="MSUALG_1:def.11">MSUALG_1:def 11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> <font color="Maroon" title="c7">o</font>,<font color="Maroon" title="c4">T1</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">z1</font>
<b>by </b><i><a class="txt" href="osalg_1.html#E1:78_1_2"><i><font color="Green" title="E44">A5</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSSet</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font></span>)</span> <a href="pboole.html#K6" title="PBOOLE:func.6">#</a> </span>)</span> <a href="pboole.html#K7" title="PBOOLE:func.7">*</a> the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">Arity</a> of <font color="Maroon" title="c1">S</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">o</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">z1</font>
<b>by </b><i><a class="txt" href="osalg_1.html#E1:78_1_2"><i><font color="Green" title="E44">A5</font></i></a>, <a class="ref" href="msualg_1.html#D9" title="MSUALG_1:def.9">MSUALG_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> <font color="Maroon" title="c7">o</font>,<font color="Maroon" title="c5">T2</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">z1</font>
<b>by </b><i><a class="txt" href="osalg_1.html#E2:78_1_2"><i><font color="Green" title="E45">A6</font></i></a>, <a class="ref" href="msualg_1.html#D9" title="MSUALG_1:def.9">MSUALG_1:def 9</a></i>
<br/>.= 
 <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> <font color="Maroon" title="c7">o</font>,<font color="Maroon" title="c5">T2</font>
<b>by </b><i><a class="txt" href="osalg_1.html#E2:78_1_2"><i><font color="Green" title="E45">A6</font></i></a></i>
<br/>.= 
the <a href="msualg_1.html#U5" title="MSUALG_1:sel.5">Charact</a> of <font color="Maroon" title="c5">T2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">o1</font>
<b>by </b><i><a class="ref" href="msualg_1.html#D11" title="MSUALG_1:def.11">MSUALG_1:def 11</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:78_1_2"/>
<font color="Maroon" title="c4">T1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">T2</font>
 <b>by </b><i><a class="txt" href="osalg_1.html#E1:78_1_2"><i><font color="Green" title="E44">A5</font></i></a>, <a class="txt" href="osalg_1.html#E2:78_1_2"><i><font color="Green" title="E45">A6</font></i></a>, <a class="ref" href="pboole.html#T3" title="PBOOLE:th.3">PBOOLE:3</a></i>;<br/>


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