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<b>let </b><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">b</font> be  non <a href="facirc_1.html#V1" title="FACIRC_1:attr.1">pair</a>  <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> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <font color="Maroon" title="c2">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>,<a href="twoscomp.html#K15" title="TWOSCOMP:func.15">xor2a</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>,<a href="twoscomp.html#K3" title="TWOSCOMP:func.3">and2a</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> )</span><br/>

<b>set </b><font color="Maroon" title="c3">p</font> = <span class="p1"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>;<br/>
<b>set </b><font color="Maroon" title="c4">S1</font> =  <a href="twoscomp.html#K34" title="TWOSCOMP:func.34">CompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font>;<br/>
<b>set </b><font color="Maroon" title="c5">S2</font> =  <a href="twoscomp.html#K37" title="TWOSCOMP:func.37">IncrementStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font>;<br/>
<a NAME="E1:46"/>
( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K34" title="TWOSCOMP:func.34">CompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <font color="Maroon" title="c2">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K34" title="TWOSCOMP:func.34">CompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>,<a href="twoscomp.html#K15" title="TWOSCOMP:func.15">xor2a</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K34" title="TWOSCOMP:func.34">CompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K37" title="TWOSCOMP:func.37">IncrementStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <font color="Maroon" title="c2">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K37" title="TWOSCOMP:func.37">IncrementStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>,<a href="twoscomp.html#K3" title="TWOSCOMP:func.3">and2a</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K37" title="TWOSCOMP:func.37">IncrementStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="facirc_1.html#T43" title="FACIRC_1:th.43">FACIRC_1:43</a></i>;<br/>
<b>hence </b><a NAME="E2:46"/>
( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <font color="Maroon" title="c2">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>,<a href="twoscomp.html#K15" title="TWOSCOMP:func.15">xor2a</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K6" title="FACIRC_1:func.6">&lt;*</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span><a href="facirc_1.html#K6" title="FACIRC_1:func.6">*&gt;</a></span>,<a href="twoscomp.html#K3" title="TWOSCOMP:func.3">and2a</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="twoscomp.html#K40" title="TWOSCOMP:func.40">BitCompStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">b</font></span>)</span> )
 <b>by </b><i><a class="ref" href="facirc_1.html#T20" title="FACIRC_1:th.20">FACIRC_1:20</a></i>; <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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