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<b>thus </b><a NAME="E1:11_1_1"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="hidden.html#M1">set</a>  st <br/>( ( for <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font> being  <a href="zf_lang.html#NM1">Variable</a> holds <br/>( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="zf_lang.html#K4">'='</a> <font color="Olive">b<sub>4</sub></font></span>)</span>,<font color="Maroon">H<sub>7</sub></font>(<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font>)</span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="zf_lang.html#K5">'in'</a> <font color="Olive">b<sub>4</sub></font></span>)</span>,<font color="Maroon">H<sub>8</sub></font>(<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font>)</span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> ) ) &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Olive">b<sub>1</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> &amp; ( for <font color="Olive">b<sub>3</sub></font> being  <a href="zf_lang.html#NM2">ZF-formula</a><br/>for <font color="Olive">b<sub>4</sub></font> being   <a href="hidden.html#M1">set</a>  st <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> holds <br/>( ( <font color="Olive">b<sub>3</sub></font> <a href="zf_lang.html#NR1" target="_self">is_equality</a>  implies <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>7</sub></font>( <a href="zf_lang.html#K18">Var1</a> <font color="Olive">b<sub>3</sub></font>, <a href="zf_lang.html#K19">Var2</a> <font color="Olive">b<sub>3</sub></font>) ) &amp; ( <font color="Olive">b<sub>3</sub></font> <a href="zf_lang.html#NR2" target="_self">is_membership</a>  implies <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>8</sub></font>( <a href="zf_lang.html#K18">Var1</a> <font color="Olive">b<sub>3</sub></font>, <a href="zf_lang.html#K19">Var2</a> <font color="Olive">b<sub>3</sub></font>) ) &amp; ( <font color="Olive">b<sub>3</sub></font> is <a href="zf_lang.html#V4">negative</a> implies ex <font color="Olive">b<sub>5</sub></font> being   <a href="hidden.html#M1">set</a>  st <br/>( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>9</sub></font>(<font color="Olive">b<sub>5</sub></font>) &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="zf_lang.html#K20">the_argument_of</a> <font color="Olive">b<sub>3</sub></font></span>)</span>,<font color="Olive">b<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> ) ) &amp; ( <font color="Olive">b<sub>3</sub></font> is <a href="zf_lang.html#V5">conjunctive</a> implies ex <font color="Olive">b<sub>5</sub></font>, <font color="Olive">b<sub>6</sub></font> being   <a href="hidden.html#M1">set</a>  st <br/>( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>10</sub></font>(<font color="Olive">b<sub>5</sub></font>,<font color="Olive">b<sub>6</sub></font>) &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="zf_lang.html#K21">the_left_argument_of</a> <font color="Olive">b<sub>3</sub></font></span>)</span>,<font color="Olive">b<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="zf_lang.html#K22">the_right_argument_of</a> <font color="Olive">b<sub>3</sub></font></span>)</span>,<font color="Olive">b<sub>6</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> ) ) &amp; ( <font color="Olive">b<sub>3</sub></font> is <a href="zf_lang.html#V6">universal</a> implies ex <font color="Olive">b<sub>5</sub></font> being   <a href="hidden.html#M1">set</a>  st <br/>( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">H<sub>11</sub></font>( <a href="zf_lang.html#K23">bound_in</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>5</sub></font>) &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="zf_lang.html#K24">the_scope_of</a> <font color="Olive">b<sub>3</sub></font></span>)</span>,<font color="Olive">b<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Olive">b<sub>2</sub></font> ) ) ) ) )
 <b>from </b><i><a class="ref" href="zf_model.html#S1" target="_self">ZF_MODEL:sch 1</a>();</i><br/>


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