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<span class="kw">let </span><font color="Maroon" title="c1">S1</font>, <font color="Maroon" title="c2">S2</font>, <font color="Maroon" title="c3">S</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msafree2.html#V2" title="MSAFREE2:attr.2">Circuit-like</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <font color="Maroon" title="c2">S2</font> &amp; <font color="Maroon" title="c3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">S1</font> <a href="circcomb.html#K2" title="CIRCCOMB:func.2">+*</a> <font color="Maroon" title="c2">S2</font> implies for <font color="Olive" title="b1">A1</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c1">S1</font><br/> for <font color="Olive" title="b2">A2</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c2">S2</font><br/> for <font color="Olive" title="b3">A</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c3">S</font>  st <font color="Olive" title="b1">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Olive" title="b2">A2</font> &amp; <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">A1</font> <a href="circcomb.html#K3" title="CIRCCOMB:func.3">+*</a> <font color="Olive" title="b2">A2</font> holds <br/>for <font color="Olive" title="b4">n1</font>, <font color="Olive" title="b5">n2</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><br/> for <font color="Olive" title="b6">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b3">A</font><br/> for <font color="Olive" title="b7">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b1">A1</font><br/> for <font color="Olive" title="b8">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b2">A2</font>  st <font color="Olive" title="b7">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b7">s1</font>,<font color="Olive" title="b4">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b8">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b6">s</font>,<font color="Olive" title="b4">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b8">s2</font>,<font color="Olive" title="b5">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b6">s</font>,<span class="p1">(<span class="default"><font color="Olive" title="b4">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b5">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  )</span><br/>

<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:43"/><span class="lab"><font color="Green" title="E15">A1</font></span>: 
 <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <font color="Maroon" title="c2">S2</font>
 <span class="kw">and </span><br/><a NAME="E2:43"/><span class="lab"><font color="Green" title="E16">A2</font></span>: 
<font color="Maroon" title="c3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">S1</font> <a href="circcomb.html#K2" title="CIRCCOMB:func.2">+*</a> <font color="Maroon" title="c2">S2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">A1</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c1">S1</font><br/> for <font color="Olive" title="b2">A2</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c2">S2</font><br/> for <font color="Olive" title="b3">A</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c3">S</font>  st <font color="Olive" title="b1">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Olive" title="b2">A2</font> &amp; <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">A1</font> <a href="circcomb.html#K3" title="CIRCCOMB:func.3">+*</a> <font color="Olive" title="b2">A2</font> holds <br/>for <font color="Olive" title="b4">n1</font>, <font color="Olive" title="b5">n2</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><br/> for <font color="Olive" title="b6">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b3">A</font><br/> for <font color="Olive" title="b7">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b1">A1</font><br/> for <font color="Olive" title="b8">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b2">A2</font>  st <font color="Olive" title="b7">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b7">s1</font>,<font color="Olive" title="b4">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b8">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b6">s</font>,<font color="Olive" title="b4">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b8">s2</font>,<font color="Olive" title="b5">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b6">s</font>,<span class="p1">(<span class="default"><font color="Olive" title="b4">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b5">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/>

<span class="kw">let </span><font color="Maroon" title="c4">A1</font> be   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c1">S1</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">A2</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c2">S2</font><br/> for <font color="Olive" title="b2">A</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c3">S</font>  st <font color="Maroon" title="c4">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Olive" title="b1">A2</font> &amp; <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">A1</font> <a href="circcomb.html#K3" title="CIRCCOMB:func.3">+*</a> <font color="Olive" title="b1">A2</font> holds <br/>for <font color="Olive" title="b3">n1</font>, <font color="Olive" title="b4">n2</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><br/> for <font color="Olive" title="b5">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b2">A</font><br/> for <font color="Olive" title="b6">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font><br/> for <font color="Olive" title="b7">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b1">A2</font>  st <font color="Olive" title="b6">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b6">s1</font>,<font color="Olive" title="b3">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b7">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b5">s</font>,<font color="Olive" title="b3">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b7">s2</font>,<font color="Olive" title="b4">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b5">s</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b4">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c5">A2</font> be   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c2">S2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">A</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c3">S</font>  st <font color="Maroon" title="c4">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Maroon" title="c5">A2</font> &amp; <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">A1</font> <a href="circcomb.html#K3" title="CIRCCOMB:func.3">+*</a> <font color="Maroon" title="c5">A2</font> holds <br/>for <font color="Olive" title="b2">n1</font>, <font color="Olive" title="b3">n2</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><br/> for <font color="Olive" title="b4">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b1">A</font><br/> for <font color="Olive" title="b5">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font><br/> for <font color="Olive" title="b6">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font>  st <font color="Olive" title="b5">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b5">s1</font>,<font color="Olive" title="b2">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b6">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b4">s</font>,<font color="Olive" title="b2">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b6">s2</font>,<font color="Olive" title="b3">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b4">s</font>,<span class="p1">(<span class="default"><font color="Olive" title="b2">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c6">A</font> be   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Maroon" title="c3">S</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="c4">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Maroon" title="c5">A2</font> &amp; <font color="Maroon" title="c6">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">A1</font> <a href="circcomb.html#K3" title="CIRCCOMB:func.3">+*</a> <font color="Maroon" title="c5">A2</font> implies for <font color="Olive" title="b1">n1</font>, <font color="Olive" title="b2">n2</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><br/> for <font color="Olive" title="b3">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c6">A</font><br/> for <font color="Olive" title="b4">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font><br/> for <font color="Olive" title="b5">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font>  st <font color="Olive" title="b4">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b4">s1</font>,<font color="Olive" title="b1">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b5">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b3">s</font>,<font color="Olive" title="b1">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b5">s2</font>,<font color="Olive" title="b2">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b3">s</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  )</span><br/>





<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E3:43"/><span class="lab"><font color="Green" title="E17">A3</font></span>: 
<font color="Maroon" title="c4">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Maroon" title="c5">A2</font>
 <span class="kw">and </span><br/><a NAME="E4:43"/><span class="lab"><font color="Green" title="E18">A4</font></span>: 
<font color="Maroon" title="c6">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">A1</font> <a href="circcomb.html#K3" title="CIRCCOMB:func.3">+*</a> <font color="Maroon" title="c5">A2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">n1</font>, <font color="Olive" title="b2">n2</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><br/> for <font color="Olive" title="b3">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c6">A</font><br/> for <font color="Olive" title="b4">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font><br/> for <font color="Olive" title="b5">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font>  st <font color="Olive" title="b4">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b4">s1</font>,<font color="Olive" title="b1">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b5">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b3">s</font>,<font color="Olive" title="b1">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b5">s2</font>,<font color="Olive" title="b2">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b3">s</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/>

<span class="kw">let </span><font color="Maroon" title="c7">n1</font>, <font color="Maroon" title="c8">n2</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c6">A</font><br/> for <font color="Olive" title="b2">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font><br/> for <font color="Olive" title="b3">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font>  st <font color="Olive" title="b2">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b2">s1</font>,<font color="Maroon" title="c7">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b3">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b1">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b3">s2</font>,<font color="Maroon" title="c8">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b1">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c9">s</font> be   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c6">A</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">s1</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font><br/> for <font color="Olive" title="b2">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font>  st <font color="Olive" title="b1">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b1">s1</font>,<font color="Maroon" title="c7">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b2">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b2">s2</font>,<font color="Maroon" title="c8">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c10">s9</font> be   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">s2</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font>  st <font color="Maroon" title="c10">s9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c10">s9</font>,<font color="Maroon" title="c7">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Olive" title="b1">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Olive" title="b1">s2</font>,<font color="Maroon" title="c8">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  holds <br/> <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c11">s99</font> be   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</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="c10">s9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c10">s9</font>,<font color="Maroon" title="c7">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  &amp; <font color="Maroon" title="c11">s99</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c11">s99</font>,<font color="Maroon" title="c8">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  implies  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  )</span><br/>







<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E5:43"/><span class="lab"><font color="Green" title="E19">A5</font></span>: 
( <font color="Maroon" title="c10">s9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c10">s9</font>,<font color="Maroon" title="c7">n1</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  )
 <span class="kw">and </span><br/><a NAME="E6:43"/><span class="lab"><font color="Green" title="E20">A6</font></span>: 
( <font color="Maroon" title="c11">s99</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> &amp;  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c11">s99</font>,<font color="Maroon" title="c8">n2</font> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> </span><br/>

<a NAME="E7:43"/><span class="lab"><font color="Green" title="E21">A7</font></span>: 
the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c4">A1</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a> the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c5">A2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:43"><span class="lab"><font color="Green" title="E17">A3</font></span></a>, <a class="ref" href="circcomb.html#D3" title="CIRCCOMB:def.3">CIRCCOMB:def 3</a></span>;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c12">s1</font> = <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font>, <font color="Maroon" title="c13">s0</font> = <font color="Maroon" title="c9">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> as   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c4">A1</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:43"><span class="lab"><font color="Green" title="E18">A4</font></span></a>, <a class="ref" href="circcomb.html#T33" title="CIRCCOMB:th.33">CIRCCOMB:33</a></span>;<br/>
<a NAME="E9:43"/><span class="lab"><font color="Green" title="E22">A8</font></span>: 
 <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span>,<font color="Maroon" title="c8">n2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="facirc_1.html#T13" title="FACIRC_1:th.13">FACIRC_1:13</a></span>;<br/>
<a NAME="E10:43"/><span class="kw">then </span><span class="lab"><font color="Green" title="E23">A9</font></span>: 
<span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c12">s1</font>,<font color="Maroon" title="c8">n2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:43"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="txt" href="#E2:43"><span class="lab"><font color="Green" title="E16">A2</font></span></a>, <a class="txt" href="#E3:43"><span class="lab"><font color="Green" title="E17">A3</font></span></a>, <a class="txt" href="#E4:43"><span class="lab"><font color="Green" title="E18">A4</font></span></a>, <a class="ref" href="circcmb2.html#T14" target="_self" title="CIRCCMB2:th.14">Th14</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c14">s2</font> = <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<font color="Maroon" title="c7">n1</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> as   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c5">A2</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:43"><span class="lab"><font color="Green" title="E18">A4</font></span></a>, <a class="txt" href="#E7:43"><span class="lab"><font color="Green" title="E21">A7</font></span></a>, <a class="ref" href="circcomb.html#T33" title="CIRCCOMB:th.33">CIRCCOMB:33</a></span>;<br/>
<a NAME="E12:43"/><span class="lab"><font color="Green" title="E24">A10</font></span>: 
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">S</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="circuit1.html#T4" title="CIRCUIT1:th.4">CIRCUIT1:4</a></span>;<br/>
<a NAME="E13:43"/><span class="lab"><font color="Green" title="E25">A11</font></span>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:43"><span class="lab"><font color="Green" title="E16">A2</font></span></a>, <a class="ref" href="circcomb.html#D2" title="CIRCCOMB:def.2">CIRCCOMB:def 2</a></span>;<br/>
<a NAME="E14:43"/><span class="lab"><font color="Green" title="E26">A12</font></span>: 
<font color="Maroon" title="c12">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c13">s0</font>,<font color="Maroon" title="c7">n1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:43"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="txt" href="#E2:43"><span class="lab"><font color="Green" title="E16">A2</font></span></a>, <a class="txt" href="#E3:43"><span class="lab"><font color="Green" title="E17">A3</font></span></a>, <a class="txt" href="#E4:43"><span class="lab"><font color="Green" title="E18">A4</font></span></a>, <a class="ref" href="circcmb2.html#T14" target="_self" title="CIRCCMB2:th.14">Th14</a></span>;<br/>
<a NAME="E15:43"/><span class="kw">then </span><span class="lab"><font color="Green" title="E27">A13</font></span>: 
<span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c14">s2</font>,<font color="Maroon" title="c8">n2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:43"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="txt" href="#E2:43"><span class="lab"><font color="Green" title="E16">A2</font></span></a>, <a class="txt" href="#E3:43"><span class="lab"><font color="Green" title="E17">A3</font></span></a>, <a class="txt" href="#E4:43"><span class="lab"><font color="Green" title="E18">A4</font></span></a>, <a class="txt" href="#E5:43"><span class="lab"><font color="Green" title="E19">A5</font></span></a>, <a class="txt" href="#E9:43"><span class="lab"><font color="Green" title="E22">A8</font></span></a>, <a class="ref" href="circcmb2.html#T19" target="_self" title="CIRCCMB2:th.19">Th19</a></span>;<br/>
<span class="kw">then </span> <a href="circuit2.html#K6" title="CIRCUIT2:func.6">Following</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="circuit2.html#K6" title="CIRCUIT2:func.6">Following</a> <span class="p2">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c14">s2</font>,<font color="Maroon" title="c8">n2</font></span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="circuit2.html#K6" title="CIRCUIT2:func.6">Following</a> <span class="p2">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c12">s1</font>,<font color="Maroon" title="c8">n2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:43"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="txt" href="#E2:43"><span class="lab"><font color="Green" title="E16">A2</font></span></a>, <a class="txt" href="#E3:43"><span class="lab"><font color="Green" title="E17">A3</font></span></a>, <a class="txt" href="#E4:43"><span class="lab"><font color="Green" title="E18">A4</font></span></a>, <a class="txt" href="#E10:43"><span class="lab"><font color="Green" title="E23">A9</font></span></a>, <a class="ref" href="circcomb.html#T40" title="CIRCCOMB:th.40">CIRCCOMB:40</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c14">s2</font>,<font color="Maroon" title="c8">n2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="circuit2.html#K6" title="CIRCUIT2:func.6">Following</a> <span class="p2">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c12">s1</font>,<font color="Maroon" title="c8">n2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:43"><span class="lab"><font color="Green" title="E20">A6</font></span></a>, <a class="ref" href="circuit2.html#D6" title="CIRCUIT2:def.6">CIRCUIT2:def 6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c14">s2</font>,<font color="Maroon" title="c8">n2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c12">s1</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c8">n2</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="facirc_1.html#T12" title="FACIRC_1:th.12">FACIRC_1:12</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c14">s2</font>,<font color="Maroon" title="c8">n2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c12">s1</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:43"><span class="lab"><font color="Green" title="E19">A5</font></span></a>, <a class="txt" href="#E14:43"><span class="lab"><font color="Green" title="E26">A12</font></span></a>, <a class="ref" href="circcmb2.html#T3" target="_self" title="CIRCCMB2:th.3">Th3</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c14">s2</font>,<font color="Maroon" title="c8">n2</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c12">s1</font>,<font color="Maroon" title="c8">n2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:43"><span class="lab"><font color="Green" title="E19">A5</font></span></a>, <a class="txt" href="#E14:43"><span class="lab"><font color="Green" title="E26">A12</font></span></a>, <a class="ref" href="circcmb2.html#T3" target="_self" title="CIRCCMB2:th.3">Th3</a></span>
<br/>.= 
 <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:43"><span class="lab"><font color="Green" title="E25">A11</font></span></a>, <a class="txt" href="#E12:43"><span class="lab"><font color="Green" title="E24">A10</font></span></a>, <a class="txt" href="#E10:43"><span class="lab"><font color="Green" title="E23">A9</font></span></a>, <a class="txt" href="#E15:43"><span class="lab"><font color="Green" title="E27">A13</font></span></a>, <a class="ref" href="funct_4.html#T74" title="FUNCT_4:th.74">FUNCT_4:74</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E17:43"/>
 <a href="facirc_1.html#K5" title="FACIRC_1:func.5">Following</a> <font color="Maroon" title="c9">s</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">n1</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Maroon" title="c8">n2</font></span>)</span> is  <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="circuit2.html#D6" title="CIRCUIT2:def.6">CIRCUIT2:def 6</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
