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<a NAME="E1:32_1"/><i><font color="Green">E45</font></i>: 
for <font color="Olive">o</font> being  <a href="msualg_1.html#NM2">OperSymbol</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive">p</font> being   <a href="msaterm.html#M1" target="_self">ArgumentSeq</a> of  <a href="msaterm.html#K2" target="_self">Sym</a> <font color="Olive">o</font>,<span class="p1">(<span class="default">the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="pboole.html#K2">\/</a> <font color="Maroon">F<sub>3</sub></font>()</span>)</span>  st ( for <font color="Olive">t</font> being  <a href="msaterm.html#NM3">c-Term</a> of <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()  st <font color="Olive">t</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <font color="Olive">p</font> holds <br/><font color="Maroon">P<sub>1</sub></font>[<font color="Olive">t</font>] ) holds <br/><font color="Maroon">P<sub>1</sub></font>[<span class="p1">(<span class="default"><a href="msaterm.html#K2" target="_self">Sym</a> <font color="Olive">o</font>,<span class="p2">(<span class="default">the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="pboole.html#K2">\/</a> <font color="Maroon">F<sub>3</sub></font>()</span>)</span></span>)</span> <a href="msaterm.html#K6" target="_self">-tree</a> <font color="Olive">p</font>]
 
<b>by </b><i/>;<br/>
<div><i><font color="Green">E51</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">s</font> be   <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">F<sub>1</sub></font>();<br/><b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font>;<br/><a NAME="E1:32_1_1"/>
<font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">x</font> <a href="msaterm.html#K4" target="_self">-term</a> <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()]
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E2:32_1_1"/>
<font color="Maroon">P<sub>1</sub></font>[ <a href="trees_4.html#K1">root-tree</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">s</font></span><a href="tarski.html#K4">]</a></span>]
 ;<br/></div><b>end;</b></div>
<div><i><font color="Green">E52</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">s</font> be   <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">F<sub>1</sub></font>();<br/><b>let </b><font color="Maroon">v</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font>;<br/><a NAME="E1:32_1_2"/>
<font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">v</font> <a href="msaterm.html#K5" target="_self">-term</a> <font color="Maroon">F<sub>2</sub></font>()]
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E2:32_1_2"/>
<font color="Maroon">P<sub>1</sub></font>[ <a href="trees_4.html#K1">root-tree</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">v</font>,<font color="Maroon">s</font></span><a href="tarski.html#K4">]</a></span>]
 ;<br/></div><b>end;</b></div>
<a NAME="E4:32_1"/>
for <font color="Olive">t</font> being  <a href="msaterm.html#NM3">c-Term</a> of <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>() holds  <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">t</font>]
 
<b>from </b><i><a class="ref" href="msaterm.html#S2" target="_self">MSATERM:sch 2</a>(, , );<br/></i>
<b>hence </b><a NAME="E5:32_1"/>
for <font color="Olive">t</font> being  <a href="msaterm.html#NM3">c-Term</a> of <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>() holds  <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">t</font>]
 ;<br/>


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