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<span class="kw">deffunc </span><font color="Maroon">H<sub>1</sub></font>(   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ,  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>,  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>) <span class="kw">-&gt; </span>   <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  = <span class="p1">(<span class="default"><a href="modelc_1.html#K4" title="MODELC_1:func.4">Castboolean</a> <span class="p2">(<span class="default">$2 <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> $1</span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K4" title="MODELC_1:func.4">Castboolean</a> <span class="p2">(<span class="default">$3 <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> $1</span>)</span></span>)</span>;<br/>
<a NAME="E1:132_1_2"/>
 for <font color="Olive" title="b1">h1</font>, <font color="Olive" title="b2">h2</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">h1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span> &amp; (  for <font color="Olive" title="b3">t</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font> holds <br/>( <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b3">t</font>, <a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c2">f</font>,<span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>), <a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c3">g</font>,<span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  iff <span class="p1">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Olive" title="b1">h1</font>,<span class="p2">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) ) &amp; <font color="Olive" title="b2">h2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span> &amp; (  for <font color="Olive" title="b3">t</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font> holds <br/>( <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b3">t</font>, <a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c2">f</font>,<span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>), <a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c3">g</font>,<span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  iff <span class="p1">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Olive" title="b2">h2</font>,<span class="p2">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) ) holds <br/><font color="Olive" title="b1">h1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">h2</font>
 
<span class="kw">from</span> <span class="lab"><a class="ref" href="modelc_1.html#S7" onmouseover="rs('modelc_1/S7')" onmouseout="rh()">MODELC_1:sch 7</a>();<br/></span>
<span class="kw">hence </span><a NAME="E2:132_1_2"/>
 for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <span class="p1">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>  st (  for <font color="Olive" title="b3">t</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font> holds <br/>( <span class="p1">(<span class="default"><a href="modelc_1.html#K4" title="MODELC_1:func.4">Castboolean</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c2">f</font>,<span class="p4">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font></span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K4" title="MODELC_1:func.4">Castboolean</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c3">g</font>,<span class="p4">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  iff <span class="p1">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Olive">b<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) ) &amp; (  for <font color="Olive" title="b3">t</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font> holds <br/>( <span class="p1">(<span class="default"><a href="modelc_1.html#K4" title="MODELC_1:func.4">Castboolean</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c2">f</font>,<span class="p4">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font></span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><a href="modelc_1.html#K4" title="MODELC_1:func.4">Castboolean</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Maroon" title="c3">g</font>,<span class="p4">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  iff <span class="p1">(<span class="default"><a href="modelc_1.html#K31" title="MODELC_1:func.31">Fid</a> (<font color="Olive">b<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) ) holds <br/><font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>2</sub></font>
 ; <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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