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<span class="kw">let </span><font color="Maroon" title="c1">F</font>, <font color="Maroon" title="c2">H</font> be   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a>; <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"> ( <font color="Maroon" title="c2">H</font> is  <a href="zf_lang.html#V6" title="ZF_LANG:attr.6">universal</a>  implies ( <font color="Maroon" title="c1">F</font> <a href="zf_lang.html#R1" title="ZF_LANG:pred.1">is_immediate_constituent_of</a> <font color="Maroon" title="c2">H</font> iff <font color="Maroon" title="c1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K23" title="ZF_LANG:func.23">the_scope_of</a> <font color="Maroon" title="c2">H</font> ) )</span><br/>



<span class="kw">assume </span><a NAME="E1:72"/>
<font color="Maroon" title="c2">H</font> is  <a href="zf_lang.html#V6" title="ZF_LANG:attr.6">universal</a> 
 ; <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"> ( <font color="Maroon" title="c1">F</font> <a href="zf_lang.html#R1" title="ZF_LANG:pred.1">is_immediate_constituent_of</a> <font color="Maroon" title="c2">H</font> iff <font color="Maroon" title="c1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K23" title="ZF_LANG:func.23">the_scope_of</a> <font color="Maroon" title="c2">H</font> )</span><br/>

<a NAME="E2:72"/><span class="kw">then </span>
<font color="Maroon" title="c2">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K7" title="ZF_LANG:func.7">All</a> (<span class="p1">(<span class="default"><a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <font color="Maroon" title="c2">H</font></span>)</span>,<span class="p1">(<span class="default"><a href="zf_lang.html#K23" title="ZF_LANG:func.23">the_scope_of</a> <font color="Maroon" title="c2">H</font></span>)</span>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zf_lang.html#T44" target="_self" onmouseover="rs('zf_lang/T44')" onmouseout="rh()">Th44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:72"/>
( <font color="Maroon" title="c1">F</font> <a href="zf_lang.html#R1" title="ZF_LANG:pred.1">is_immediate_constituent_of</a> <font color="Maroon" title="c2">H</font> iff <font color="Maroon" title="c1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K23" title="ZF_LANG:func.23">the_scope_of</a> <font color="Maroon" title="c2">H</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="zf_lang.html#T54" target="_self" onmouseover="rs('zf_lang/T54')" onmouseout="rh()">Th54</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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