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<span class="kw">let </span><font color="Maroon" title="c5">y</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <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">y</font> is <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V8" title="FOMODEL4:attr.8">-provable</a>  implies <font color="Maroon" title="c5">y</font> is <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V8" title="FOMODEL4:attr.8">-provable</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:50_1_1"/>
<font color="Maroon" title="c5">y</font> is <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V8" title="FOMODEL4:attr.8">-provable</a> 
 ; <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">y</font> is <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V8" title="FOMODEL4:attr.8">-provable</a> </span><br/>

<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">seqt</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <span class="kw"> such that </span><br/><a NAME="E3:50_1_1"/><span class="lab"><font color="Green" title="E18">B0</font></span>: 
( <font color="Maroon" title="c6">seqt</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">x</font> &amp; <font color="Maroon" title="c6">seqt</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">y</font> &amp; <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c6">seqt</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is <font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V7" title="FOMODEL4:attr.7">-derivable</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="fomodel4.html#D13" target="_self" title="FOMODEL4:def.13">DefProvable2</a></span>;<br/>
<a NAME="E4:50_1_1"/>
( <font color="Maroon" title="c6">seqt</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">X</font> &amp; <font color="Maroon" title="c6">seqt</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">y</font> &amp; <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c6">seqt</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is <font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V7" title="FOMODEL4:attr.7">-derivable</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:50_1_1"><span class="lab"><font color="Green" title="E18">B0</font></span></a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:50_1_1"/>
<font color="Maroon" title="c5">y</font> is <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c2">D</font> <a href="fomodel4.html#V8" title="FOMODEL4:attr.8">-provable</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="fomodel4.html#D13" target="_self" title="FOMODEL4:def.13">DefProvable2</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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