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

<span class="kw">let </span><font color="Maroon" title="c1">ap</font>, <font color="Maroon" title="c2">bm</font>, <font color="Maroon" title="c3">cp</font> be   non  <a href="xtuple_0.html#V1" title="XTUPLE_0:attr.1">pair</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">z</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds   <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K25" title="GFACIRC1:func.25">BitGFA1Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K37" title="GFACIRC1:func.37">BitGFA2Str</a> (<font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font>,<font color="Olive" title="b3">z</font>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">y</font>, <font color="Maroon" title="c6">z</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K25" title="GFACIRC1:func.25">BitGFA1Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K37" title="GFACIRC1:func.37">BitGFA2Str</a> (<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c6">z</font>)</span>)</span></span><br/>



<span class="kw">set </span><font color="Maroon" title="c7">S1</font> =  <a href="gfacirc1.html#K25" title="GFACIRC1:func.25">BitGFA1Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cp</font>);<br/>
<a NAME="E1:28"/>
 <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K25" title="GFACIRC1:func.25">BitGFA1Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> is  <a href="facirc_1.html#NV2" title="FACIRC_1:NV.2">without_pairs</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="gfacirc1.html#T67" onmouseover="rs('gfacirc1/T67')" onmouseout="rh()">GFACIRC1:67</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:28"/>
 <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K25" title="GFACIRC1:func.25">BitGFA1Str</a> (<font color="Maroon" title="c1">ap</font>,<font color="Maroon" title="c2">bm</font>,<font color="Maroon" title="c3">cp</font>)</span>)</span> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <span class="p1">(<span class="default"><a href="gfacirc1.html#K37" title="GFACIRC1:func.37">BitGFA2Str</a> (<font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>,<font color="Maroon" title="c6">z</font>)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="facirc_1.html#T5" onmouseover="rs('facirc_1/T5')" onmouseout="rh()">FACIRC_1:5</a>, <a class="ref" href="gfacirc1.html#T96" onmouseover="rs('gfacirc1/T96')" onmouseout="rh()">GFACIRC1:96</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
