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<b>let </b><font color="Maroon" title="c1">z</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</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">C</font> being <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> holds <br/> ( <font color="Maroon" title="c1">z</font> is    <a href="abcmiz_1.html#M3" title="ABCMIZ_1:mode.3">quasi-type</a> of <font color="Olive" title="b1">C</font> iff  ex <font color="Olive" title="b2">A</font> being <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <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="Olive" title="b1">C</font></span>)</span> ex <font color="Olive" title="b3">q</font> being <a href="abcmiz_1.html#V9" title="ABCMIZ_1:attr.9">pure</a>  <a href="abcmiz_1.html#M1" title="ABCMIZ_1:mode.1">expression</a> of <font color="Olive" title="b1">C</font>, <a href="abcmiz_1.html#K12" title="ABCMIZ_1:func.12">a_Type</a> <font color="Olive" title="b1">C</font> st <font color="Maroon" title="c1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">q</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> )</span><br/><b>let </b><font color="Maroon" title="c2">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"> ( <font color="Maroon" title="c1">z</font> is    <a href="abcmiz_1.html#M3" title="ABCMIZ_1:mode.3">quasi-type</a> of <font color="Maroon" title="c2">C</font> iff  ex <font color="Olive" title="b1">A</font> being <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <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="c2">C</font></span>)</span> ex <font color="Olive" title="b2">q</font> being <a href="abcmiz_1.html#V9" title="ABCMIZ_1:attr.9">pure</a>  <a href="abcmiz_1.html#M1" title="ABCMIZ_1:mode.1">expression</a> of <font color="Maroon" title="c2">C</font>, <a href="abcmiz_1.html#K12" title="ABCMIZ_1:func.12">a_Type</a> <font color="Maroon" title="c2">C</font> st <font color="Maroon" title="c1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">q</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> )</span><br/>



<a NAME="E1:148"/>
( <font color="Maroon" title="c1">z</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="abcmiz_1.html#K39" title="ABCMIZ_1:func.39">QuasiTypes</a> <font color="Maroon" title="c2">C</font> iff  ex <font color="Olive" title="b1">t</font> being   <a href="abcmiz_1.html#M1" title="ABCMIZ_1:mode.1">expression</a> of <font color="Maroon" title="c2">C</font>, <a href="abcmiz_1.html#K12" title="ABCMIZ_1:func.12">a_Type</a> <font color="Maroon" title="c2">C</font> ex <font color="Olive" title="b2">A</font> being <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <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="c2">C</font></span>)</span> st <br/>( <font color="Maroon" title="c1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b2">A</font>,<font color="Olive" title="b1">t</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp; <font color="Olive" title="b1">t</font> is <a href="abcmiz_1.html#V9" title="ABCMIZ_1:attr.9">pure</a> ) )
 
;<br/>
<b>hence </b><a NAME="E2:148"/>
( <font color="Maroon" title="c1">z</font> is    <a href="abcmiz_1.html#M3" title="ABCMIZ_1:mode.3">quasi-type</a> of <font color="Maroon" title="c2">C</font> iff  ex <font color="Olive" title="b1">A</font> being <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <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="c2">C</font></span>)</span> ex <font color="Olive" title="b2">q</font> being <a href="abcmiz_1.html#V9" title="ABCMIZ_1:attr.9">pure</a>  <a href="abcmiz_1.html#M1" title="ABCMIZ_1:mode.1">expression</a> of <font color="Maroon" title="c2">C</font>, <a href="abcmiz_1.html#K12" title="ABCMIZ_1:func.12">a_Type</a> <font color="Maroon" title="c2">C</font> st <font color="Maroon" title="c1">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">q</font></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#D43" target="_self" title="ABCMIZ_1:def.43">QUASITYPE</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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