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<a NAME="E1:12_1"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">F<sub>1</sub></font>()<br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#M1">Element</a> of <span class="p1">(<span class="default"><a href="equation.html#K4">Equations</a> <font color="Maroon">F<sub>1</sub></font>()</span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> st ( for <font color="Olive">b<sub>3</sub></font> being <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">F<sub>1</sub></font>() st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">b<sub>3</sub></font>] holds <br/><font color="Olive">b<sub>3</sub></font> <a href="equation.html#R1">|=</a> <font color="Olive">b<sub>2</sub></font> ) holds <br/><font color="Maroon">F<sub>2</sub></font>() <a href="equation.html#R1">|=</a> <font color="Olive">b<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="birkhoff.html#E2:12"><i><font color="Green">E4</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:12_1"/>
<font color="Maroon">P<sub>2</sub></font>[<font color="Maroon">F<sub>2</sub></font>()]
 <b>by </b><i><a class="txt" href="birkhoff.html#E1:12"><i><font color="Green">E3</font></i></a></i>;<br/>


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