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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</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="parsp_1.html#K7" title="PARSP_1:func.7">PRs</a> <font color="Maroon" title="c1">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="tarski.html#D3" onmouseover="rs('tarski/D3')" onmouseout="rh()">TARSKI:def 3</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"> (  not <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="parsp_1.html#K7" title="PARSP_1:func.7">PRs</a> <font color="Maroon" title="c1">F</font> or <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> )</span><br/>



<a NAME="E1:29"/>
 <a href="parsp_1.html#K6" title="PARSP_1:func.6">4C_3</a> <font color="Maroon" title="c1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>
 
;<br/>
<span class="kw">hence </span><a NAME="E2:29"/>
(  not <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="parsp_1.html#K7" title="PARSP_1:func.7">PRs</a> <font color="Maroon" title="c1">F</font> or <font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p2"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span>,<span class="p3">(<span class="default"><a href="parsp_1.html#K5" title="PARSP_1:func.5">C_3</a> <font color="Maroon" title="c1">F</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="parsp_1.html#D9" target="_self" onmouseover="rs('parsp_1/D9')" onmouseout="rh()">Def8</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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