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<span class="kw">let </span><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" 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"> ( <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#K26" title="ZF_LANG:func.26">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K11" title="ZF_LANG:func.11">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K27" title="ZF_LANG:func.27">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> )</span><br/>

<span class="kw">assume </span><a NAME="E1:62"/><span class="lab"><font color="Green" title="E41">A1</font></span>: 
<font color="Maroon" title="c1">H</font> is  <a href="zf_lang.html#V10" title="ZF_LANG:attr.10">biconditional</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"> <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#K26" title="ZF_LANG:func.26">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K11" title="ZF_LANG:func.11">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K27" title="ZF_LANG:func.27">the_right_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span></span><br/>

<a NAME="E2:62"/><span class="kw">then </span>
 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#K26" title="ZF_LANG:func.26">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K11" title="ZF_LANG:func.11">&lt;=&gt;</a> <font color="Olive" title="b1">F</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zf_lang.html#D37" target="_self" onmouseover="rs('zf_lang/D37')" onmouseout="rh()">Def37</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:62"/>
<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#K26" title="ZF_LANG:func.26">the_left_side_of</a> <font color="Maroon" title="c1">H</font></span>)</span> <a href="zf_lang.html#K11" title="ZF_LANG:func.11">&lt;=&gt;</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K27" title="ZF_LANG:func.27">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="#E1:62"><span class="lab"><font color="Green" title="E41">A1</font></span></a>, <a class="ref" href="zf_lang.html#D38" target="_self" onmouseover="rs('zf_lang/D38')" onmouseout="rh()">Def38</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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