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<b>consider </b><font color="Maroon" title="c1">n</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>;<br/>
<b>consider </b><font color="Maroon" title="c2">p</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Maroon" title="c1">n</font>;<br/>
<b>take </b><font color="Maroon" title="c3">P</font> = <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">p</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>;<br/>

<b>thus </b><a NAME="E3:32_1_1"/>
<font color="Maroon" title="c3">P</font> is <a href="matrix_2.html#V1" title="MATRIX_2:attr.1">permutational</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1_1_1"><b>proof </b></a><div class="add">

<b>take </b>
<font color="Maroon" title="c1">n</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="matrix_2.html#D9" target="_self" title="MATRIX_2:def.9">MATRIX_2:def 9</a><br/>

<b>let </b><font color="Maroon" title="c4">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>assume </b><a NAME="E1:32_1_1_1"/>
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">P</font>
 ;<br/>

<b>hence </b><a NAME="E2:32_1_1_1"/>
<font color="Maroon" title="c4">x</font> is   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Maroon" title="c1">n</font>
 <b>by </b><i><a class="ref" href="tarski.html#D1" title="TARSKI:def.1">TARSKI:def 1</a></i>;<br/>


</div><b>end;</b></div>

<b>thus </b><a NAME="E4:32_1_1"/>
not <font color="Maroon" title="c3">P</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ;<br/>


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