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<b>consider </b><font color="Maroon" title="c2">i</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">i1</font> = <font color="Maroon" title="c1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 as   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> ;<br/>
<a NAME="E3:7_1_1"/>
<font color="Maroon" title="c2">i</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c3">i1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a> 
 
<b>by </b><i><a class="ref" href="rat_1.html#D1" title="RAT_1:def.1">RAT_1:def 1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c4">q</font> = <font color="Maroon" title="c2">i</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c3">i1</font> as   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a> <b>by </b><i><a class="ref" href="rat_1.html#D2" title="RAT_1:def.2">RAT_1:def 2</a></i>;<br/>
<a NAME="E5:7_1_1"/>
<font color="Maroon" title="c4">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="mesfunc1.html#K3" title="MESFUNC1:func.3">RAT_with_denominator</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="mesfunc1.html#D2" target="_self" title="MESFUNC1:def.2">Def2</a></i>;<br/>
<b>hence </b><a NAME="E6:7_1_1"/>
not  <a href="mesfunc1.html#K3" title="MESFUNC1:func.3">RAT_with_denominator</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <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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