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<b>let </b><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c3">B</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">A</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c3">B</font> implies  <a href="funct_7.html#K1" title="FUNCT_7:func.1">In</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K1" title="FUNCT_7:func.1">In</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c3">B</font> )</span><br/>





<b>assume </b><a NAME="E1:36"/><i><font color="Green" title="E12">A1</font></i>: 
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">A</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c3">B</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="funct_7.html#K1" title="FUNCT_7:func.1">In</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K1" title="FUNCT_7:func.1">In</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c3">B</font></span><br/>

<a NAME="E2:36"/><b>then </b><i><font color="Green" title="E13">A2</font></i>: 
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">B</font>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E3:36"/>
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">A</font>
 
<b>by </b><i><a class="txt" href="#E1:36"><i><font color="Green" title="E12">A1</font></i></a>, <a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</a></i>;<br/>
<b>hence </b> <a href="funct_7.html#K1" title="FUNCT_7:func.1">In</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">A</font> = 
<font color="Maroon" title="c1">x</font>
<b>by </b><i><a class="ref" href="funct_7.html#D1" target="_self" title="FUNCT_7:def.1">Def1</a></i>
<br/>.= 
 <a href="funct_7.html#K1" title="FUNCT_7:func.1">In</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c3">B</font>
<b>by </b><i><a class="txt" href="#E2:36"><i><font color="Green" title="E13">A2</font></i></a>, <a class="ref" href="funct_7.html#D1" target="_self" title="FUNCT_7:def.1">Def1</a></i>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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