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<b>let </b><font color="Maroon" title="c1">H</font> be   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">H</font> is <a href="zf_lang.html#V10" title="ZF_LANG:attr.10">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="zf_lang.html#K27" title="ZF_LANG:func.27">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K12" title="ZF_LANG:func.12">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K28" title="ZF_LANG:func.28">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> )</span><br/>

<b>assume </b><a NAME="E1:65"/><i><font color="Green" title="E51">A1</font></i>: 
<font color="Maroon" title="c1">H</font> is <a href="zf_lang.html#V10" title="ZF_LANG:attr.10">biconditional</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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="zf_lang.html#K27" title="ZF_LANG:func.27">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K12" title="ZF_LANG:func.12">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K28" title="ZF_LANG:func.28">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span></span><br/>

<a NAME="E2:65"/><b>then </b>
 ex <font color="Olive" title="b1">F</font> being  <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st <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="zf_lang.html#K27" title="ZF_LANG:func.27">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K12" title="ZF_LANG:func.12">&lt;=&gt;</a> <font color="Olive" title="b1">F</font>
 
<b>by </b><i><a class="ref" href="zf_lang.html#D37" target="_self" title="ZF_LANG:def.37">Def37</a></i>;<br/>
<b>hence </b><a NAME="E3:65"/>
<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="zf_lang.html#K27" title="ZF_LANG:func.27">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K12" title="ZF_LANG:func.12">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K28" title="ZF_LANG:func.28">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span>
 <b>by </b><i><a class="txt" href="zf_lang.html#E1:65"><i><font color="Green" title="E51">A1</font></i></a>, <a class="ref" href="zf_lang.html#D38" target="_self" title="ZF_LANG:def.38">Def38</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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