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<b>consider </b><font color="Maroon">c<sub>2</sub></font> being  <a href="msualg_1.html#V1">strict</a> non <a href="msualg_1.html#V2">void</a> <a href="catalg_1.html#NM1">Signature</a>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="60_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:60_1_1_1"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="struct_0.html#V3">empty</a> or  not <font color="Maroon">c<sub>1</sub></font> is <a href="struct_0.html#V3">empty</a> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="60_1_1_1_1"><b>suppose </b></a><a NAME="E1:60_1_1_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="struct_0.html#V3">empty</a>
 ;<br/><div class="add"><a NAME="E2:60_1_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> is    <a href="algspec1.html#M2" target="_self">Extension</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="algspec1.html#T53" target="_self">Th53</a></i>;<br/><b>hence </b><a NAME="E3:60_1_1_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="algspec1.html#M2" target="_self">Extension</a> of <font color="Maroon">c<sub>1</sub></font> st <br/>( not <font color="Olive">b<sub>1</sub></font> is <a href="struct_0.html#V3">empty</a> &amp; not <font color="Olive">b<sub>1</sub></font> is <a href="msualg_1.html#V2">void</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="msualg_1.html#V1">strict</a> )
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="60_1_1_1_2"><b>suppose </b></a><a NAME="E1:60_1_1_1_2"/>
not <font color="Maroon">c<sub>1</sub></font> is <a href="struct_0.html#V3">empty</a>
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>1</sub></font> as  non <a href="struct_0.html#V3">empty</a> <a href="catalg_1.html#NM1">Signature</a> ;<br/><b>reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font> <a href="circcomb.html#K3">+*</a> <font color="Maroon">c<sub>3</sub></font> as    <a href="algspec1.html#M2" target="_self">Extension</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="algspec1.html#T50" target="_self">Th50</a></i>;<br/><b>take </b>
<font color="Maroon">c<sub>4</sub></font>
;<br/><b>consider </b><font color="Maroon">c<sub>5</sub></font> being   <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>6</sub></font> being   <a href="msualg_1.html#NM2">OperSymbol</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><a NAME="E5:60_1_1_1_2"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> &amp; the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="circcomb.html#D2">CIRCCOMB:def 2</a></i>;<br/><b>hence </b><a NAME="E6:60_1_1_1_2"/>
not the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>4</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="struct_0.html#D1">STRUCT_0:def 1</a><br/><a NAME="E7:60_1_1_1_2"/>
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>2</sub></font> &amp; the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>2</sub></font> <a href="xboole_0.html#K2">\/</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="circcomb.html#D2">CIRCCOMB:def 2</a></i>;<br/><b>hence </b><a NAME="E8:60_1_1_1_2"/>
the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="msualg_1.html#D5">MSUALG_1:def 5</a><br/><b>thus </b><a NAME="E9:60_1_1_1_2"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="msualg_1.html#V1">strict</a>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

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