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<span class="kw">let </span><font color="Maroon" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="yellow_1.html#D3" title="YELLOW_1:def.3">YELLOW_1:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">proj2</a> <span class="p1">(<span class="default"><a href="pcs_0.html#K18" title="PCS_0:func.18">MSSet</a> (<font color="Maroon" title="c3">P</font>,<font color="Maroon" title="c4">Q</font>)</span>)</span> or <font color="Maroon" title="c5">x</font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:122_1_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="pcs_0.html#K18" title="PCS_0:func.18">MSSet</a> (<font color="Maroon" title="c3">P</font>,<font color="Maroon" title="c4">Q</font>)</span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c5">x</font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> </span><br/>

<a NAME="E2:122_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c3">P</font>,<font color="Maroon" title="c4">Q</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T64" title="FUNCT_4:th.64">FUNCT_4:64</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:122_1_1"/>
<font color="Maroon" title="c5">x</font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></span>; <a class="txt" 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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