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<a NAME="E1:41_1_1"/>
( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">S</font> <a href="substut1.html#K18" title="SUBSTUT1:func.18">`1</a></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">S</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> <font color="Maroon" title="c1">A</font> &amp; <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">S9</font> <a href="substut1.html#K18" title="SUBSTUT1:func.18">`1</a></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">S9</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> <font color="Maroon" title="c1">A</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#T10" target="_self" onmouseover="rs('substut1/T10')" onmouseout="rh()">Th10</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:41_1_1"/>
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">S</font> <a href="substut1.html#K18" title="SUBSTUT1:func.18">`1</a></span>)</span> <a href="qc_lang1.html#K14" title="QC_LANG1:func.14">'&amp;'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">S9</font> <a href="substut1.html#K18" title="SUBSTUT1:func.18">`1</a></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c2">S</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> <font color="Maroon" title="c1">A</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:41"><span class="lab"><font color="Green" title="E17">A1</font></span></a>, <a class="ref" href="substut1.html#D16" target="_self" onmouseover="rs('substut1/D16')" onmouseout="rh()">Def16</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/>


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