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<b>thus </b><a NAME="E1:25_1_1"/>
( ex <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ex <font color="Olive">b<sub>2</sub></font> being  <a href="funct_2.html#NM1">Function</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> , <a href="numbers.html#K5">NAT</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <a href="cqc_lang.html#K9">VERUM</a>  <a href="hidden.html#R1">=</a> 0 &amp; ( for <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> <br/>for <font color="Olive">b<sub>5</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="qc_lang1.html#K2">bound_QC-variables</a> <br/>for <font color="Olive">b<sub>6</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/>for <font color="Olive">b<sub>7</sub></font> being  <a href="cqc_lang.html#NM2">CQC-variable_list</a> of <font color="Olive">b<sub>6</sub></font><br/>for <font color="Olive">b<sub>8</sub></font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">b<sub>6</sub></font> holds <br/>( <font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>8</sub></font> <a href="cqc_lang.html#K8">!</a> <font color="Olive">b<sub>7</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">b<sub>6</sub></font>,<font color="Olive">b<sub>8</sub></font>,<font color="Olive">b<sub>7</sub></font>) &amp; <font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>3</sub></font>) &amp; <font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="cqc_lang.html#K11">'&amp;'</a> <font color="Olive">b<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>) &amp; <font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Olive">b<sub>5</sub></font>,<font color="Olive">b<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>4</sub></font>(<font color="Olive">b<sub>5</sub></font>,<font color="Olive">b<sub>2</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>3</sub></font>) ) ) ) &amp; ( for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  st ex <font color="Olive">b<sub>3</sub></font> being  <a href="funct_2.html#NM1">Function</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> , <a href="numbers.html#K5">NAT</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <a href="cqc_lang.html#K9">VERUM</a>  <a href="hidden.html#R1">=</a> 0 &amp; ( for <font color="Olive">b<sub>4</sub></font>, <font color="Olive">b<sub>5</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> <br/>for <font color="Olive">b<sub>6</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="qc_lang1.html#K2">bound_QC-variables</a> <br/>for <font color="Olive">b<sub>7</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/>for <font color="Olive">b<sub>8</sub></font> being  <a href="cqc_lang.html#NM2">CQC-variable_list</a> of <font color="Olive">b<sub>7</sub></font><br/>for <font color="Olive">b<sub>9</sub></font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">b<sub>7</sub></font> holds <br/>( <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>9</sub></font> <a href="cqc_lang.html#K8">!</a> <font color="Olive">b<sub>8</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">b<sub>7</sub></font>,<font color="Olive">b<sub>9</sub></font>,<font color="Olive">b<sub>8</sub></font>) &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Olive">b<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>) &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>4</sub></font> <a href="cqc_lang.html#K11">'&amp;'</a> <font color="Olive">b<sub>5</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>5</sub></font>) &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Olive">b<sub>6</sub></font>,<font color="Olive">b<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>4</sub></font>(<font color="Olive">b<sub>6</sub></font>,<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>) ) ) ) &amp; ex <font color="Olive">b<sub>3</sub></font> being  <a href="funct_2.html#NM1">Function</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> , <a href="numbers.html#K5">NAT</a>  st <br/>( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <a href="cqc_lang.html#K9">VERUM</a>  <a href="hidden.html#R1">=</a> 0 &amp; ( for <font color="Olive">b<sub>4</sub></font>, <font color="Olive">b<sub>5</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> <br/>for <font color="Olive">b<sub>6</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="qc_lang1.html#K2">bound_QC-variables</a> <br/>for <font color="Olive">b<sub>7</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <br/>for <font color="Olive">b<sub>8</sub></font> being  <a href="cqc_lang.html#NM2">CQC-variable_list</a> of <font color="Olive">b<sub>7</sub></font><br/>for <font color="Olive">b<sub>9</sub></font> being  <a href="qc_lang1.html#NM6">QC-pred_symbol</a> of <font color="Olive">b<sub>7</sub></font> holds <br/>( <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>9</sub></font> <a href="cqc_lang.html#K8">!</a> <font color="Olive">b<sub>8</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive">b<sub>7</sub></font>,<font color="Olive">b<sub>9</sub></font>,<font color="Olive">b<sub>8</sub></font>) &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Olive">b<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>) &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>4</sub></font> <a href="cqc_lang.html#K11">'&amp;'</a> <font color="Olive">b<sub>5</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>3</sub></font>(<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>5</sub></font>) &amp; <font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Olive">b<sub>6</sub></font>,<font color="Olive">b<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>4</sub></font>(<font color="Olive">b<sub>6</sub></font>,<font color="Olive">b<sub>3</sub></font> <a href="recdef_1.html#K1">.</a> <font color="Olive">b<sub>4</sub></font>) ) ) ) holds <br/><font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>2</sub></font> ) )
 <b>from </b><i><a class="ref" href="cqc_lang.html#S4">CQC_LANG:sch 4</a>();</i><br/>


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