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<b>let </b><font color="Maroon" title="c1">C</font> be  <a href="abcmiz_1.html#V3" title="ABCMIZ_1:attr.3">initialized</a> <a href="abcmiz_1.html#NM5" title="ABCMIZ_1:NM.5">ConstructorSignature</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">f</font> being  <a href="abcmiz_1.html#NM13" title="ABCMIZ_1:NM.13">valuation</a> of <font color="Maroon" title="c1">C</font><br/> for <font color="Olive" title="b2">T</font> being   <a href="abcmiz_1.html#M3" title="ABCMIZ_1:mode.3">quasi-type</a> of <font color="Maroon" title="c1">C</font><br/> for <font color="Olive" title="b3">a</font> being  <a href="abcmiz_1.html#NM10" title="ABCMIZ_1:NM.10">quasi-adjective</a> of <font color="Maroon" title="c1">C</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b3">a</font> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <font color="Olive" title="b2">T</font></span>)</span> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Olive" title="b1">f</font></span>)</span> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">T</font> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Olive" title="b1">f</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c2">f</font> be   <a href="abcmiz_1.html#NM13" title="ABCMIZ_1:NM.13">valuation</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">T</font> being   <a href="abcmiz_1.html#M3" title="ABCMIZ_1:mode.3">quasi-type</a> of <font color="Maroon" title="c1">C</font><br/> for <font color="Olive" title="b2">a</font> being  <a href="abcmiz_1.html#NM10" title="ABCMIZ_1:NM.10">quasi-adjective</a> of <font color="Maroon" title="c1">C</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Maroon" title="c2">f</font></span>)</span> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">T</font> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c3">T</font> be    <a href="abcmiz_1.html#M3" title="ABCMIZ_1:mode.3">quasi-type</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">a</font> being  <a href="abcmiz_1.html#NM10" title="ABCMIZ_1:NM.10">quasi-adjective</a> of <font color="Maroon" title="c1">C</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Maroon" title="c2">f</font></span>)</span> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">T</font> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c4">a</font> be   <a href="abcmiz_1.html#NM10" title="ABCMIZ_1:NM.10">quasi-adjective</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Maroon" title="c2">f</font></span>)</span> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">T</font> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><br/>







<a NAME="E1:271"/>
<font color="Maroon" title="c4">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="abcmiz_1.html#K38" title="ABCMIZ_1:func.38">QuasiAdjs</a> <font color="Maroon" title="c1">C</font>
 
;<br/>
<b>then reconsider </b><font color="Maroon" title="c5">A</font> = <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c4">a</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> as   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="abcmiz_1.html#K38" title="ABCMIZ_1:func.38">QuasiAdjs</a> <font color="Maroon" title="c1">C</font></span>)</span> <b>by </b><i><a class="ref" href="zfmisc_1.html#T37" title="ZFMISC_1:th.37">ZFMISC_1:37</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font> = 
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="abcmiz_1.html#K41" title="ABCMIZ_1:func.41">adjs</a> <span class="p4">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <font color="Maroon" title="c3">T</font></span>)</span></span>)</span> <a href="abcmiz_1.html#K63" title="ABCMIZ_1:func.63">at</a> <font color="Maroon" title="c2">f</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="abcmiz_1.html#K42" title="ABCMIZ_1:func.42">the_base_of</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K62" title="ABCMIZ_1:func.62">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
<b>by </b><i><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c5">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p4">(<span class="default"><a href="abcmiz_1.html#K41" title="ABCMIZ_1:func.41">adjs</a> <font color="Maroon" title="c3">T</font></span>)</span></span>)</span> <a href="abcmiz_1.html#K63" title="ABCMIZ_1:func.63">at</a> <font color="Maroon" title="c2">f</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="abcmiz_1.html#K42" title="ABCMIZ_1:func.42">the_base_of</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K62" title="ABCMIZ_1:func.62">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
<b>by </b><i><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c5">A</font> <a href="abcmiz_1.html#K63" title="ABCMIZ_1:func.63">at</a> <font color="Maroon" title="c2">f</font></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="abcmiz_1.html#K41" title="ABCMIZ_1:func.41">adjs</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K63" title="ABCMIZ_1:func.63">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="abcmiz_1.html#K42" title="ABCMIZ_1:func.42">the_base_of</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K62" title="ABCMIZ_1:func.62">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
<b>by </b><i><a class="ref" href="abcmiz_1.html#T145" target="_self" title="ABCMIZ_1:th.145">ThZ1</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="abcmiz_1.html#K41" title="ABCMIZ_1:func.41">adjs</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K63" title="ABCMIZ_1:func.63">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="abcmiz_1.html#K42" title="ABCMIZ_1:func.42">the_base_of</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K62" title="ABCMIZ_1:func.62">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
<b>by </b><i><a class="ref" href="abcmiz_1.html#T144" target="_self" title="ABCMIZ_1:th.144">ThZ0</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p3">(<span class="default"><a href="abcmiz_1.html#K41" title="ABCMIZ_1:func.41">adjs</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">T</font> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="abcmiz_1.html#K42" title="ABCMIZ_1:func.42">the_base_of</a> <font color="Maroon" title="c3">T</font></span>)</span> <a href="abcmiz_1.html#K62" title="ABCMIZ_1:func.62">at</a> <font color="Maroon" title="c2">f</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
<b>by </b><i><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="abcmiz_1.html#K61" title="ABCMIZ_1:func.61">at</a> <font color="Maroon" title="c2">f</font></span>)</span> <a href="abcmiz_1.html#K43" title="ABCMIZ_1:func.43">ast</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">T</font> <a href="abcmiz_1.html#K64" title="ABCMIZ_1:func.64">at</a> <font color="Maroon" title="c2">f</font></span>)</span>
<b>by </b><i><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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