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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   <a href="polnot_1.html#NM3" title="POLNOT_1:NM.3">Polish-language</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">  for <font color="Olive" title="b1">A</font> being    <a href="polnot_1.html#M1" title="POLNOT_1:mode.1">Polish-arity-function</a> of <font color="Maroon" title="c1">T</font><br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="polnot_1.html#K19" title="POLNOT_1:func.19">Polish-expression-hierarchy</a> (<font color="Maroon" title="c1">T</font>,<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">n</font>) is <font color="Maroon" title="c1">T</font> <a href="polnot_1.html#V6" title="POLNOT_1:attr.6">-headed</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">A</font> be    <a href="polnot_1.html#M1" title="POLNOT_1:mode.1">Polish-arity-function</a> of <font color="Maroon" title="c1">T</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">  for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="polnot_1.html#K19" title="POLNOT_1:func.19">Polish-expression-hierarchy</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<font color="Olive" title="b1">n</font>) is <font color="Maroon" title="c1">T</font> <a href="polnot_1.html#V6" title="POLNOT_1:attr.6">-headed</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</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">  <a href="polnot_1.html#K19" title="POLNOT_1:func.19">Polish-expression-hierarchy</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">n</font>) is <font color="Maroon" title="c1">T</font> <a href="polnot_1.html#V6" title="POLNOT_1:attr.6">-headed</a> </span><br/>





<span class="kw">reconsider </span><font color="Maroon" title="c4">U</font> =  <a href="polnot_1.html#K19" title="POLNOT_1:func.19">Polish-expression-hierarchy</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">n</font>) as   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="polnot_1.html#K21" title="POLNOT_1:func.21">Polish-WFF-set</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>)</span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="polnot_1.html#T26" target="_self" onmouseover="rs('polnot_1/T26')" onmouseout="rh()">Th26</a></span>;<br/>
<a NAME="E2:133"/>
 <a href="polnot_1.html#K21" title="POLNOT_1:func.21">Polish-WFF-set</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>) is <font color="Maroon" title="c1">T</font> <a href="polnot_1.html#V6" title="POLNOT_1:attr.6">-headed</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="polnot_1.html#T65" target="_self" onmouseover="rs('polnot_1/T65')" onmouseout="rh()">Th65</a></span>;<br/>
<a NAME="E3:133"/><span class="kw">then </span>
<font color="Maroon" title="c4">U</font> is <font color="Maroon" title="c1">T</font> <a href="polnot_1.html#V6" title="POLNOT_1:attr.6">-headed</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E4:133"/>
 <a href="polnot_1.html#K19" title="POLNOT_1:func.19">Polish-expression-hierarchy</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">n</font>) is <font color="Maroon" title="c1">T</font> <a href="polnot_1.html#V6" title="POLNOT_1:attr.6">-headed</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"> verum</span><br/>


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