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<span class="kw">deffunc </span><font color="Maroon">H<sub>1</sub></font>(   <a href="ringcat1.html#M2" title="RINGCAT1:mode.2">Element</a> of <font color="Maroon" title="c1">V</font>) <span class="kw">-&gt; </span>  <a href="ringcat1.html#V2" title="RINGCAT1:attr.2">strict</a>   <a href="ringcat1.html#M3" title="RINGCAT1:mode.3">Element</a> of  <a href="ringcat1.html#K10" title="RINGCAT1:func.10">Morphs</a> <font color="Maroon" title="c1">V</font> =  <a href="ringcat1.html#K13" title="RINGCAT1:func.13">ID</a> $1;<br/>
<span class="kw">consider </span><font color="Maroon" title="c2">F</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon" title="c1">V</font>,<span class="p1">(<span class="default"><a href="ringcat1.html#K10" title="RINGCAT1:func.10">Morphs</a> <font color="Maroon" title="c1">V</font></span>)</span><span class="kw"> such that </span><br/><a NAME="E2:64_3_1"/><span class="lab"><font color="Green" title="E38">A7</font></span>: 
 for <font color="Olive" title="b1">G</font> being    <a href="ringcat1.html#M2" title="RINGCAT1:mode.2">Element</a> of <font color="Maroon" title="c1">V</font> holds  <font color="Maroon" title="c2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">G</font>)
 <span class="kw">from</span> <span class="lab"><a class="ref" href="funct_2.html#S4" title="FUNCT_2:sch.4">FUNCT_2:sch 4</a>();<br/></span>
<span class="kw">take </span>
<font color="Maroon" title="c2">F</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">G</font> being    <a href="ringcat1.html#M2" title="RINGCAT1:mode.2">Element</a> of <font color="Maroon" title="c1">V</font> holds  <font color="Maroon" title="c2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringcat1.html#K13" title="RINGCAT1:func.13">ID</a> <font color="Olive" title="b1">G</font></span><br/>

<span class="kw">thus </span><a NAME="E3:64_3_1"/>
 for <font color="Olive" title="b1">G</font> being    <a href="ringcat1.html#M2" title="RINGCAT1:mode.2">Element</a> of <font color="Maroon" title="c1">V</font> holds  <font color="Maroon" title="c2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringcat1.html#K13" title="RINGCAT1:func.13">ID</a> <font color="Olive" title="b1">G</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:64_3_1"><span class="lab"><font color="Green" title="E38">A7</font></span></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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