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<span class="kw">set </span><font color="Maroon" title="c4">V</font> =  <a href="polnot_1.html#K20" title="POLNOT_1:func.20">Polish-expression-set</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c5">n</font> = <font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">f</font> =  <a href="polnot_1.html#K12" title="POLNOT_1:func.12">Polish-operation</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span>,<font color="Maroon" title="c3">t</font>);<br/>
<a NAME="E1:116_1_1"/><span class="lab"><font color="Green" title="E67">A1</font></span>: 
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="polnot_1.html#K12" title="POLNOT_1:func.12">Polish-operation</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span>,<font color="Maroon" title="c3">t</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="polnot_1.html#K20" title="POLNOT_1:func.20">Polish-expression-set</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>)</span>)</span> <a href="polnot_1.html#K4" title="POLNOT_1:func.4">^^</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#D1" onmouseover="rs('funct_2/D1')" onmouseout="rh()">FUNCT_2:def 1</a></span>;<br/>
<a NAME="E2:116_1_1"/>
 for <font color="Olive" title="b1">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="polnot_1.html#K20" title="POLNOT_1:func.20">Polish-expression-set</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>)</span>)</span> <a href="polnot_1.html#K4" title="POLNOT_1:func.4">^^</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span> holds <br/><span class="p1">(<span class="default"><a href="polnot_1.html#K12" title="POLNOT_1:func.12">Polish-operation</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span>,<font color="Maroon" title="c3">t</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="polnot_1.html#K20" title="POLNOT_1:func.20">Polish-expression-set</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="polnot_1.html#T39" target="_self" onmouseover="rs('polnot_1/T39')" onmouseout="rh()">Th39</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:116_1_1"/>
 <a href="polnot_1.html#K12" title="POLNOT_1:func.12">Polish-operation</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span>,<font color="Maroon" title="c3">t</font>) is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><span class="p2">(<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> <a href="polnot_1.html#K4" title="POLNOT_1:func.4">^^</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">A</font> <a href="polnot_1.html#K14" title="POLNOT_1:func.14">.</a> <font color="Maroon" title="c3">t</font></span>)</span></span>)</span>,<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="txt" href="#E1:116_1_1"><span class="lab"><font color="Green" title="E67">A1</font></span></a>, <a class="ref" href="funct_2.html#T3" onmouseover="rs('funct_2/T3')" onmouseout="rh()">FUNCT_2:3</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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