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<b>let </b><font color="Maroon">p</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon">A</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">J</font> be    <a href="valuat_1.html#M1">interpretation</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">v</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="valuat_1.html#K2">Valuations_in</a> <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">Sub</font> be   <a href="substut1.html#NM1">CQC_Substitution</a>;<br/>









<a NAME="E1:39"/>
( <font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="sublemma.html#R1">|=</a> <span class="p1"><a href="substut2.html#K2">[</a><span class="default"><font color="Maroon">p</font>,<font color="Maroon">Sub</font></span><a href="substut2.html#K2">]</a></span> iff <font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="valuat_1.html#R1">|=</a> <span class="p1"><a href="substut2.html#K2">[</a><span class="default"><font color="Maroon">p</font>,<font color="Maroon">Sub</font></span><a href="substut2.html#K2">]</a></span> <a href="sublemma.html#K2">`1</a>  )
 
<b>by </b><i><a class="ref" href="sublemma.html#D3">SUBLEMMA:def 3</a></i>;<br/>
<b>hence </b><a NAME="E2:39"/>
( <font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="sublemma.html#R1">|=</a> <span class="p1"><a href="substut2.html#K2">[</a><span class="default"><font color="Maroon">p</font>,<font color="Maroon">Sub</font></span><a href="substut2.html#K2">]</a></span> iff <font color="Maroon">J</font>,<font color="Maroon">v</font> <a href="valuat_1.html#R1">|=</a> <font color="Maroon">p</font> )
 <b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>


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