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<b>consider </b><font color="Maroon">F</font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="cqc_lang.html#K7" target="_self">CQC-WFF</a> ,<font color="Maroon">F<sub>1</sub></font>()<b> such that </b><br/><a NAME="E2:42_1"/><i><font color="Green">E43</font></i>: 
( <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <a href="cqc_lang.html#K9" target="_self">VERUM</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>() &amp; ( for <font color="Olive">r</font>, <font color="Olive">s</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7" target="_self">CQC-WFF</a> <br/> for <font color="Olive">x</font> being  <a href="qc_lang1.html#NM3">bound_QC-variable</a><br/> for <font color="Olive">k</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/> for <font color="Olive">l</font> being  <a href="cqc_lang.html#NM2">CQC-variable_list</a> of <font color="Olive">k</font><br/> for <font color="Olive">P</font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">k</font> holds <br/> ( <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">P</font> <a href="cqc_lang.html#K8" target="_self">!</a> <font color="Olive">l</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">k</font>,<font color="Olive">P</font>,<font color="Olive">l</font>) &amp; <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K10" target="_self">'not'</a> <font color="Olive">r</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>5</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <font color="Olive">r</font></span>)</span>) &amp; <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">r</font> <a href="cqc_lang.html#K11" target="_self">'&amp;'</a> <font color="Olive">s</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>6</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <font color="Olive">r</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <font color="Olive">s</font></span>)</span>) &amp; <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K15" target="_self">All</a> <font color="Olive">x</font>,<font color="Olive">r</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>7</sub></font>(<font color="Olive">x</font>,<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <font color="Olive">r</font></span>)</span>) ) ) )
 <b>from </b><i><a class="ref" href="cqc_lang.html#S2" target="_self">CQC_LANG:sch 2</a>();<br/></i>
<a NAME="E3:42_1"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K15" target="_self">All</a> <font color="Maroon">F<sub>8</sub></font>(),<font color="Maroon">F<sub>9</sub></font>()</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>7</sub></font>(<font color="Maroon">F<sub>8</sub></font>(),<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">F<sub>9</sub></font>()</span>)</span>)
 
<b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">G</font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="cqc_lang.html#K7" target="_self">CQC-WFF</a> ,<font color="Maroon">F<sub>1</sub></font>()<b> such that </b><br/><a NAME="E5:42_1"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon">F<sub>9</sub></font>()) <a href="hidden.html#R1">=</a> <font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">F<sub>9</sub></font>()
 <b>and </b><br/><a NAME="E6:42_1"/><i><font color="Green">E53</font></i>: 
( <font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <a href="cqc_lang.html#K9" target="_self">VERUM</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>() &amp; ( for <font color="Olive">r</font>, <font color="Olive">s</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7" target="_self">CQC-WFF</a> <br/> for <font color="Olive">x</font> being  <a href="qc_lang1.html#NM3">bound_QC-variable</a><br/> for <font color="Olive">k</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/> for <font color="Olive">l</font> being  <a href="cqc_lang.html#NM2">CQC-variable_list</a> of <font color="Olive">k</font><br/> for <font color="Olive">P</font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">k</font> holds <br/> ( <font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">P</font> <a href="cqc_lang.html#K8" target="_self">!</a> <font color="Olive">l</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">k</font>,<font color="Olive">P</font>,<font color="Olive">l</font>) &amp; <font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K10" target="_self">'not'</a> <font color="Olive">r</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>5</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <font color="Olive">r</font></span>)</span>) &amp; <font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Olive">r</font> <a href="cqc_lang.html#K11" target="_self">'&amp;'</a> <font color="Olive">s</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>6</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <font color="Olive">r</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <font color="Olive">s</font></span>)</span>) &amp; <font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K15" target="_self">All</a> <font color="Olive">x</font>,<font color="Olive">r</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>7</sub></font>(<font color="Olive">x</font>,<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="funct_2.html#K3">.</a> <font color="Olive">r</font></span>)</span>) ) ) )
 <b>by </b><i/>;<br/>
<a NAME="E7:42_1"/>
<font color="Maroon">F</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">G</font>
 
<b>from </b><i><a class="ref" href="cqc_lang.html#S3" target="_self">CQC_LANG:sch 3</a>(, );<br/></i>
<b>hence </b><a NAME="E8:42_1"/>
<font color="Maroon">F<sub>2</sub></font>(<span class="p1">(<span class="default"><a href="cqc_lang.html#K15" target="_self">All</a> <font color="Maroon">F<sub>8</sub></font>(),<font color="Maroon">F<sub>9</sub></font>()</span>)</span>) <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>7</sub></font>(<font color="Maroon">F<sub>8</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon">F<sub>9</sub></font>()))
 <b>by </b><i>, , , </i>;<br/>


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