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<span class="kw">let </span><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">y</font> be   <a href="zf_lang.html#NM1" title="ZF_LANG:NM.1">Variable</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="zf_model.html#K2" title="ZF_MODEL:func.2">Free</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="zf_lang.html#K3" title="ZF_LANG:func.3">'='</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span></span><br/>



<a NAME="E1:44"/><span class="lab"><font color="Green" title="E14">A1</font></span>: 
 <a href="zf_lang.html#K18" title="ZF_LANG:func.18">Var2</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="zf_lang.html#K3" title="ZF_LANG:func.3">'='</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">y</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zf_lang1.html#T1" target="_self" onmouseover="rs('zf_lang1/T1')" onmouseout="rh()">Th1</a></span>;<br/>
<a NAME="E2:44"/>
( <font color="Maroon" title="c1">x</font> <a href="zf_lang.html#K3" title="ZF_LANG:func.3">'='</a> <font color="Maroon" title="c2">y</font> is  <a href="zf_lang.html#V2" title="ZF_LANG:attr.2">being_equality</a>  &amp;  <a href="zf_lang.html#K17" title="ZF_LANG:func.17">Var1</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="zf_lang.html#K3" title="ZF_LANG:func.3">'='</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zf_lang1.html#T1" target="_self" onmouseover="rs('zf_lang1/T1')" onmouseout="rh()">Th1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:44"/>
 <a href="zf_model.html#K2" title="ZF_MODEL:func.2">Free</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="zf_lang.html#K3" title="ZF_LANG:func.3">'='</a> <font color="Maroon" title="c2">y</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:44"><span class="lab"><font color="Green" title="E14">A1</font></span></a>, <a class="ref" href="zf_model.html#T1" onmouseover="rs('zf_model/T1')" onmouseout="rh()">ZF_MODEL:1</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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