<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">S1</font>, <font color="Maroon" title="c2">S2</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="circcomb.html#V1" title="CIRCCOMB:attr.1">unsplit</a>   <a href="circcomb.html#V2" title="CIRCCOMB:attr.2">gate`1=arity</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"> for <font color="Olive" title="b1">A1</font> being   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> of <font color="Maroon" title="c1">S1</font><br/> for <font color="Olive" title="b2">A2</font> being   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> of <font color="Maroon" title="c2">S2</font>  st <font color="Olive" title="b1">A1</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Olive" title="b1">A1</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  &amp; <font color="Olive" title="b2">A2</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Olive" title="b2">A2</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  holds <br/><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></span><br/><span class="kw">let </span><font color="Maroon" title="c3">A1</font> be    <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</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#L3" title="MSUALG_1:struct.3">MSAlgebra</a> of <font color="Maroon" title="c2">S2</font>  st <font color="Maroon" title="c3">A1</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Maroon" title="c3">A1</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  &amp; <font color="Olive" title="b1">A2</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Olive" title="b1">A2</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  holds <br/><font color="Maroon" title="c3">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Olive" title="b1">A2</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">A2</font> be    <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</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"> ( <font color="Maroon" title="c3">A1</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Maroon" title="c3">A1</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  &amp; <font color="Maroon" title="c4">A2</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Maroon" title="c4">A2</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  implies <font color="Maroon" title="c3">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Maroon" title="c4">A2</font> )</span><br/>





<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:107"/><span class="lab"><font color="Green" title="E55">A1</font></span>: 
( <font color="Maroon" title="c3">A1</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Maroon" title="c3">A1</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a>  )
 <span class="kw">and </span><br/><a NAME="E2:107"/><span class="lab"><font color="Green" title="E56">A2</font></span>: 
( <font color="Maroon" title="c4">A2</font> is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a>  &amp; <font color="Maroon" title="c4">A2</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</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">A1</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a> <font color="Maroon" title="c4">A2</font></span><br/>

<span class="kw">thus </span><a NAME="E3:107"/>
( <font color="Maroon" title="c1">S1</font> <a href="circcomb.html#R1" title="CIRCCOMB:pred.1">tolerates</a> <font color="Maroon" title="c2">S2</font> &amp; the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c3">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="c4">A2</font> &amp; the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <font color="Maroon" title="c3">A1</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a> the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <font color="Maroon" title="c4">A2</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:107"><span class="lab"><font color="Green" title="E55">A1</font></span></a>, <a class="txt" href="#E2:107"><span class="lab"><font color="Green" title="E56">A2</font></span></a>, <a class="ref" href="circcomb.html#T55" target="_self" title="CIRCCOMB:th.55">Th55</a>, <a class="ref" href="circcomb.html#T56" target="_self" title="CIRCCOMB:th.56">Th56</a>, <a class="ref" href="circcomb.html#T67" target="_self" title="CIRCCOMB:th.67">Th67</a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="circcomb.html#D3" target="_self" title="CIRCCOMB:def.3">CIRCCOMB:def 3</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/>


</div>
