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<span class="kw">let </span><font color="Maroon" title="c1">H</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</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="c1">H</font> is  <a href="qc_lang2.html#V3" title="QC_LANG2:attr.3">biconditional</a>  implies <font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K13" title="QC_LANG2:func.13">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="qc_lang2.html#K4" title="QC_LANG2:func.4">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K14" title="QC_LANG2:func.14">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> )</span><br/>

<span class="kw">given </span><font color="Maroon" title="c2">F</font>, <font color="Maroon" title="c3">G</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</a> <span class="kw"> such that </span><a NAME="E2:52"/><span class="lab"><font color="Green" title="E17">A1</font></span>: 
<font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">F</font> <a href="qc_lang2.html#K4" title="QC_LANG2:func.4">&lt;=&gt;</a> <font color="Maroon" title="c3">G</font>
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="qc_lang2.html#D12" target="_self" title="QC_LANG2:def.12">QC_LANG2:def 12</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="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K13" title="QC_LANG2:func.13">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="qc_lang2.html#K4" title="QC_LANG2:func.4">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K14" title="QC_LANG2:func.14">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span></span><br/>

<a NAME="E3:52"/>
 <a href="qc_lang2.html#K13" title="QC_LANG2:func.13">the_left_side_of</a> <font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">F</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:52"><span class="lab"><font color="Green" title="E17">A1</font></span></a>, <a class="ref" href="qc_lang2.html#T47" target="_self" title="QC_LANG2:th.47">Th47</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:52"/>
<font color="Maroon" title="c1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K13" title="QC_LANG2:func.13">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="qc_lang2.html#K4" title="QC_LANG2:func.4">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="qc_lang2.html#K14" title="QC_LANG2:func.14">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:52"><span class="lab"><font color="Green" title="E17">A1</font></span></a>, <a class="ref" href="qc_lang2.html#T47" target="_self" title="QC_LANG2:th.47">Th47</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/>


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