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<b>let </b><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">y</font>, <font color="Maroon" title="c3">z</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> ;<br/>

<b>set </b><font color="Maroon" title="c4">S</font> =  <a href="gfacirc1.html#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font>;<br/>
<b>set </b><font color="Maroon" title="c5">S1</font> =  <a href="gfacirc1.html#K46" title="GFACIRC1:func.46">GFA3AdderStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font>;<br/>
<b>set </b><font color="Maroon" title="c6">S2</font> =  <a href="gfacirc1.html#K43" title="GFACIRC1:func.43">GFA3CarryStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font>;<br/>
<a NAME="E1:180"/><i><font color="Green" title="E100">A1</font></i>: 
( not  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K46" title="GFACIRC1:func.46">GFA3AdderStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> is <a href="facirc_1.html#V2" title="FACIRC_1:attr.2">with_pair</a> &amp;  <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K46" title="GFACIRC1:func.46">GFA3AdderStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> is   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> )
 
<b>by </b><i><a class="ref" href="facirc_1.html#T58" title="FACIRC_1:th.58">FACIRC_1:58</a>, <a class="ref" href="facirc_1.html#T59" title="FACIRC_1:th.59">FACIRC_1:59</a></i>;<br/>
<a NAME="E2:180"/><i><font color="Green" title="E101">A2</font></i>: 
( not  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K43" title="GFACIRC1:func.43">GFA3CarryStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> is <a href="facirc_1.html#V2" title="FACIRC_1:attr.2">with_pair</a> &amp;  <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K43" title="GFACIRC1:func.43">GFA3CarryStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> is   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> )
 
<b>by </b><i><a class="ref" href="gfacirc1.html#T125" target="_self" title="GFACIRC1:th.125">Th125</a>, <a class="ref" href="gfacirc1.html#T128" target="_self" title="GFACIRC1:th.128">Th128</a></i>;<br/>
<a NAME="E3:180"/>
(  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K46" title="GFACIRC1:func.46">GFA3AdderStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> &amp;  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K43" title="GFACIRC1:func.43">GFA3CarryStr</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> )
 
<b>by </b><i><a class="ref" href="facirc_1.html#T57" title="FACIRC_1:th.57">FACIRC_1:57</a>, <a class="ref" href="gfacirc1.html#T132" target="_self" title="GFACIRC1:th.132">Th132</a></i>;<br/>
<b>hence </b> <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K49" title="GFACIRC1:func.49">BitGFA3Str</a> <font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span>)</span> = 
<span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>
<b>by </b><i><a class="txt" href="gfacirc1.html#E1:180"><i><font color="Green" title="E100">A1</font></i></a>, <a class="txt" href="gfacirc1.html#E2:180"><i><font color="Green" title="E101">A2</font></i></a>, <a class="ref" href="facirc_1.html#T7" title="FACIRC_1:th.7">FACIRC_1:7</a></i>
<br/>.= 
<span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font>,<font color="Maroon" title="c3">z</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>

;<br/><br/>


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