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<span class="kw">consider </span><font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c2">B</font> being  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>
<span class="kw">take </span><font color="Maroon" title="c3">P</font> =  <a href="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> <font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">B</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">P</font> is  <a href="funct_1.html#V4" title="FUNCT_1:attr.4">functional</a>  &amp; <font color="Maroon" title="c3">P</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  &amp; not <font color="Maroon" title="c3">P</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:38_1_1"/>
<font color="Maroon" title="c3">P</font> is  <a href="funct_1.html#V4" title="FUNCT_1:attr.4">functional</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">P</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  &amp; not <font color="Maroon" title="c3">P</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E3:38_1_1"/>
<font color="Maroon" title="c3">P</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="pre_poly.html#T17" target="_self" title="PRE_POLY:th.17">Th5</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not <font color="Maroon" title="c3">P</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> </span><br/>

<span class="kw">thus </span><a NAME="E4:38_1_1"/>
not <font color="Maroon" title="c3">P</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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