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<b>let </b><font color="Maroon">F</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> ;<br/><b>let </b><font color="Maroon">G1</font> be    <a href="qc_lang4.html#M1" target="_self">Subformula</a> of <font color="Maroon">F</font>;<br/><b>let </b><font color="Maroon">G2</font> be    <a href="qc_lang4.html#M1" target="_self">Subformula</a> of <font color="Maroon">F</font>;<br/>





<a NAME="E1:73"/><i><font color="Green">E22</font></i>: 
<span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">t</font> <a href="finseq_1.html#K8">^</a> <font color="Olive">s</font></span>)</span> where <font color="Olive">t</font> is    <a href="qc_lang4.html#M2" target="_self">Entry_Point_in_Subformula_Tree</a> of <font color="Maroon">G1</font>, <font color="Olive">s</font> is    <a href="trees_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="qc_lang4.html#K2" target="_self">tree_of_subformulae</a> <font color="Maroon">G1</font></span>)</span> : <font color="Olive">s</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G1</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G2</font> </span>}</span>  <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">t</font> <a href="finseq_1.html#K8">^</a> <font color="Olive">s</font></span>)</span> where <font color="Olive">t</font> is    <a href="trees_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="qc_lang4.html#K2" target="_self">tree_of_subformulae</a> <font color="Maroon">F</font></span>)</span>, <font color="Olive">s</font> is    <a href="trees_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="qc_lang4.html#K2" target="_self">tree_of_subformulae</a> <font color="Maroon">G1</font></span>)</span> : ( <font color="Olive">t</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G1</font> &amp; <font color="Olive">s</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G1</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G2</font> ) </span>}</span> 
 
<b>by </b><i><a class="ref" href="qc_lang4.html#T15" target="_self">Th15</a></i>;<br/>
<a NAME="E2:73"/>
<span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">t</font> <a href="finseq_1.html#K8">^</a> <font color="Olive">s</font></span>)</span> where <font color="Olive">t</font> is    <a href="trees_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="qc_lang4.html#K2" target="_self">tree_of_subformulae</a> <font color="Maroon">F</font></span>)</span>, <font color="Olive">s</font> is    <a href="trees_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="qc_lang4.html#K2" target="_self">tree_of_subformulae</a> <font color="Maroon">G1</font></span>)</span> : ( <font color="Olive">t</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G1</font> &amp; <font color="Olive">s</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G1</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G2</font> ) </span>}</span>  <a href="tarski.html#R1">c=</a> <font color="Maroon">F</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G2</font>
 
<b>by </b><i><a class="ref" href="qc_lang4.html#T9" target="_self">Th9</a></i>;<br/>
<b>hence </b><a NAME="E3:73"/>
<span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">t</font> <a href="finseq_1.html#K8">^</a> <font color="Olive">s</font></span>)</span> where <font color="Olive">t</font> is    <a href="qc_lang4.html#M2" target="_self">Entry_Point_in_Subformula_Tree</a> of <font color="Maroon">G1</font>, <font color="Olive">s</font> is    <a href="trees_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="qc_lang4.html#K2" target="_self">tree_of_subformulae</a> <font color="Maroon">G1</font></span>)</span> : <font color="Olive">s</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G1</font> <a href="qc_lang4.html#K3" target="_self">-entry_points_in_subformula_tree_of</a> <font color="Maroon">G2</font> </span>}</span>  <a href="tarski.html#R1">c=</a>  <a href="qc_lang4.html#K4" target="_self">entry_points_in_subformula_tree</a> <font color="Maroon">G2</font>
 <b>by </b><i/>;<br/>


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