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<a NAME="E1:32_1"/><i><font color="Green" title="E19">A4</font></i>: 
for <font color="Olive" title="b1">o</font> being  <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Maroon">F<sub>1</sub></font>()<br/> for <font color="Olive" title="b2">p</font> being   <a href="msaterm.html#M1" title="MSATERM:mode.1">ArgumentSeq</a> of  <a href="msaterm.html#K2" title="MSATERM:func.2">Sym</a> <font color="Olive" title="b1">o</font>,<span class="p1">(<span class="default">the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon">F<sub>3</sub></font>()</span>)</span>  st ( for <font color="Olive" title="b3">t</font> being  <a href="msaterm.html#NM3" title="MSATERM:NM.3">c-Term</a> of <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()  st <font color="Olive" title="b3">t</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Olive" title="b2">p</font> holds <br/><font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b3">t</font>] ) holds <br/><font color="Maroon">P<sub>1</sub></font>[<span class="p1">(<span class="default"><a href="msaterm.html#K2" title="MSATERM:func.2">Sym</a> <font color="Olive" title="b1">o</font>,<span class="p2">(<span class="default">the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="pboole.html#K2" title="PBOOLE:func.2">\/</a> <font color="Maroon">F<sub>3</sub></font>()</span>)</span></span>)</span> <a href="msaterm.html#K6" title="MSATERM:func.6">-tree</a> <font color="Olive" title="b2">p</font>]
 
<b>by </b><i><a class="txt" href="msaterm.html#E3:32"><i><font color="Green" title="E18">A3</font></i></a></i>;<br/>
<div><i><font color="Green" title="E20">A5</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" title="c1">s</font> be   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Maroon">F<sub>1</sub></font>();<br/><b>let </b><font color="Maroon" title="c2">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon">F<sub>2</sub></font>() <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">s</font>;<br/><a NAME="E1:32_1_1"/>
<font color="Maroon">P<sub>1</sub></font>[<font color="Maroon" title="c2">x</font> <a href="msaterm.html#K4" title="MSATERM:func.4">-term</a> <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()]
 <b>by </b><i><a class="txt" href="msaterm.html#E1:32"><i><font color="Green" title="E16">A1</font></i></a></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" title="TREES_4:func.1">root-tree</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c1">s</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>]
 ;<br/></div><b>end;</b></div>
<div><i><font color="Green" title="E21">A6</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" title="c1">s</font> be   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Maroon">F<sub>1</sub></font>();<br/><b>let </b><font color="Maroon" title="c2">v</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">s</font>;<br/><a NAME="E1:32_1_2"/>
<font color="Maroon">P<sub>1</sub></font>[<font color="Maroon" title="c2">v</font> <a href="msaterm.html#K5" title="MSATERM:func.5">-term</a> <font color="Maroon">F<sub>2</sub></font>()]
 <b>by </b><i><a class="txt" href="msaterm.html#E2:32"><i><font color="Green" title="E17">A2</font></i></a></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" title="TREES_4:func.1">root-tree</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c2">v</font>,<font color="Maroon" title="c1">s</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>]
 ;<br/></div><b>end;</b></div>
<a NAME="E4:32_1"/>
for <font color="Olive" title="b1">t</font> being  <a href="msaterm.html#NM3" title="MSATERM:NM.3">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" title="b1">t</font>]
 
<b>from </b><i><a class="ref" href="msaterm.html#S2" target="_self" title="MSATERM:sch.2">MSATERM:sch 2</a>(<a class="txt" href="msaterm.html#E2:32_1"><i><font color="Green" title="E20">A5</font></i></a>, <a class="txt" href="msaterm.html#E3:32_1"><i><font color="Green" title="E21">A6</font></i></a>, <a class="txt" href="msaterm.html#E1:32_1"><i><font color="Green" title="E19">A4</font></i></a>);<br/></i>
<b>hence </b><a NAME="E5:32_1"/>
for <font color="Olive" title="b1">t</font> being  <a href="msaterm.html#NM3" title="MSATERM:NM.3">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" title="b1">t</font>]
 ;<br/>


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