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<span class="kw">deffunc </span><font color="Maroon">H<sub>1</sub></font>(   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ) <span class="kw">-&gt; </span>  <a href="xboolean.html#V1" title="XBOOLEAN:attr.1">boolean</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  = <font color="Maroon">F<sub>3</sub></font>($1,<font color="Maroon">F<sub>2</sub></font>());<br/>
<a NAME="E1:93_1"/><span class="lab"><font color="Green" title="E72">A1</font></span>: 
 for <font color="Olive" title="b1">s</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">s</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/><font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">s</font>) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="margrel1.html#K6" title="MARGREL1:func.6">BOOLEAN</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="margrel1.html#D12" title="MARGREL1:def.12">MARGREL1:def 12</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c1">IT</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon">F<sub>1</sub></font>(),<a href="margrel1.html#K6" title="MARGREL1:func.6">BOOLEAN</a><span class="kw"> such that </span><br/><a NAME="E3:93_1"/><span class="lab"><font color="Green" title="E73">A2</font></span>: 
 for <font color="Olive" title="b1">s</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">s</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/><font color="Maroon" title="c1">IT</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">s</font>)
 <span class="kw">from</span> <span class="lab"><a class="ref" href="funct_2.html#S2" title="FUNCT_2:sch.2">FUNCT_2:sch 2</a>(<a class="txt" href="#E1:93_1"><span class="lab"><font color="Green" title="E72">A1</font></span></a>);<br/></span>
<span class="kw">take </span>
<font color="Maroon" title="c1">IT</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">IT</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_1.html#K31" title="MODELC_1:func.31">ModelSP</a> <font color="Maroon">F<sub>1</sub></font>() &amp; (  for <font color="Olive" title="b1">s</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">s</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/>( <font color="Maroon">F<sub>3</sub></font>(<font color="Olive" title="b1">s</font>,<font color="Maroon">F<sub>2</sub></font>()) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K8" title="MARGREL1:func.8">TRUE</a>  iff <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">Fid</a> (<font color="Maroon" title="c1">IT</font>,<font color="Maroon">F<sub>1</sub></font>())</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K8" title="MARGREL1:func.8">TRUE</a>  ) ) )</span><br/>

<a NAME="E4:93_1"/>
<font color="Maroon" title="c1">IT</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_1.html#K31" title="MODELC_1:func.31">ModelSP</a> <font color="Maroon">F<sub>1</sub></font>()
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#T8" title="FUNCT_2:th.8">FUNCT_2:8</a></span>;<br/>
<a NAME="E5:93_1"/><span class="kw">then </span>
 <a href="modelc_1.html#K32" title="MODELC_1:func.32">Fid</a> (<font color="Maroon" title="c1">IT</font>,<font color="Maroon">F<sub>1</sub></font>()) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c1">IT</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_1.html#D41" target="_self" title="MODELC_1:def.41">Def43</a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:93_1"/>
( <font color="Maroon" title="c1">IT</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="modelc_1.html#K31" title="MODELC_1:func.31">ModelSP</a> <font color="Maroon">F<sub>1</sub></font>() &amp; (  for <font color="Olive" title="b1">s</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">s</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/>( <font color="Maroon">F<sub>3</sub></font>(<font color="Olive" title="b1">s</font>,<font color="Maroon">F<sub>2</sub></font>()) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K8" title="MARGREL1:func.8">TRUE</a>  iff <span class="p1">(<span class="default"><a href="modelc_1.html#K32" title="MODELC_1:func.32">Fid</a> (<font color="Maroon" title="c1">IT</font>,<font color="Maroon">F<sub>1</sub></font>())</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K8" title="MARGREL1:func.8">TRUE</a>  ) ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:93_1"><span class="lab"><font color="Green" title="E73">A2</font></span></a>, <a class="ref" href="funct_2.html#T8" title="FUNCT_2:th.8">FUNCT_2:8</a></span>; <a class="txt" 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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