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<span class="kw">thus </span><a NAME="E1:83_3_2"/>
 ex <font color="Olive" title="b1">C9</font> being   <a href="altcat_1.html#V6" title="ALTCAT_1:attr.6">strict</a>   <a href="yellow18.html#V4" title="YELLOW18:attr.4">concrete</a>  <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a> st <br/>(  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">C9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font> &amp; (  for <font color="Olive" title="b2">a</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C9</font><br/>  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow18.html#K3" title="YELLOW18:func.3">the_carrier_of</a> <font color="Olive" title="b2">a</font> iff ( <font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b2">a</font>) &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">x</font>] ) ) ) &amp; (  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">C</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds <br/> ( <font color="Olive" title="b4">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Olive" title="b1">C9</font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) iff ( <font color="Olive" title="b4">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> (<span class="p1">(<span class="default"><font color="Olive" title="b1">C9</font> <a href="yellow18.html#K3" title="YELLOW18:func.3">-carrier_of</a> <font color="Olive" title="b2">a</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b1">C9</font> <a href="yellow18.html#K3" title="YELLOW18:func.3">-carrier_of</a> <font color="Olive" title="b3">b</font></span>)</span>) &amp; <font color="Maroon">S<sub>2</sub></font>[<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">f</font>] ) ) ) )
 <span class="kw">from</span> <span class="lab"><a class="ref" href="yellow18.html#S18" target="_self" onmouseover="rs('yellow18/S18')" onmouseout="rh()">YELLOW18:sch 18</a>(<a class="txt" href="#E1:83"><span class="lab"><font color="Green" title="E37">A1</font></span></a>, <a class="txt" href="#E2:83"><span class="lab"><font color="Green" title="E38">A13</font></span></a>);</span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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