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<b>consider </b><font color="Maroon">A</font> being  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> , <font color="Maroon">J</font> being    <a href="valuat_1.html#M1">interpretation</a> of <font color="Maroon">A</font>, <font color="Maroon">v</font> being    <a href="fraenkel.html#M2">Element</a> of  <a href="valuat_1.html#K2">Valuations_in</a> <font color="Maroon">A</font>;<br/>
<a NAME="E2:19"/>
<font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="valuat_1.html#R1">|=</a>  <a href="cqc_lang.html#K9">VERUM</a> 
 
<b>by </b><i><a class="ref" href="valuat_1.html#T44">VALUAT_1:44</a></i>;<br/>
<a NAME="E3:19"/><b>then </b>
for <font color="Olive">p</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a>   st <font color="Olive">p</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><a href="cqc_lang.html#K9">VERUM</a> </span><a href="domain_1.html#K6">}</a></span> holds <br/><font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="valuat_1.html#R1">|=</a> <font color="Olive">p</font>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E4:19"/><b>then </b>
<font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="calcul_1.html#R6">|=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><a href="cqc_lang.html#K9">VERUM</a> </span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="calcul_1.html#D11">CALCUL_1:def 11</a></i>;<br/>
<b>hence </b><a NAME="E5:19"/>
<span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><a href="cqc_lang.html#K9">VERUM</a> </span><a href="domain_1.html#K6">}</a></span> is <a href="henmodel.html#V1" target="_self">Consistent</a>
 <b>by </b><i/>;<br/>


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