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<span class="kw">consider </span><font color="Maroon" title="c3">t</font> being   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a><span class="kw"> such that </span><br/><a NAME="E2:86_4_1"/><span class="lab"><font color="Green" title="E41">A1</font></span>: 
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <font color="Maroon" title="c3">t</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="grzlog_1.html#T33" target="_self" onmouseover="rs('grzlog_1/T33')" onmouseout="rh()">Th88</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">u</font> being   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a><span class="kw"> such that </span><br/><a NAME="E4:86_4_1"/><span class="lab"><font color="Green" title="E42">A2</font></span>: 
<font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <font color="Maroon" title="c4">u</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="grzlog_1.html#T33" target="_self" onmouseover="rs('grzlog_1/T33')" onmouseout="rh()">Th88</a></span>;<br/>
<span class="kw">take </span>
 <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Maroon" title="c4">u</font></span>)</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">  ex <font color="Olive" title="b1">t</font>, <font color="Olive" title="b2">u</font> being   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a> st <br/>( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <font color="Olive" title="b1">t</font> &amp; <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <font color="Olive" title="b2">u</font> &amp;  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Maroon" title="c4">u</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b2">u</font></span>)</span> )</span><br/>

<span class="kw">thus </span><a NAME="E5:86_4_1"/>
 ex <font color="Olive" title="b1">t</font>, <font color="Olive" title="b2">u</font> being   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a> st <br/>( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <font color="Olive" title="b1">t</font> &amp; <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <font color="Olive" title="b2">u</font> &amp;  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Maroon" title="c4">u</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="grzlog_1.html#K34" title="GRZLOG_1:func.34">LD-EqClassOf</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Olive" title="b2">u</font></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:86_4_1"><span class="lab"><font color="Green" title="E41">A1</font></span></a>, <a class="txt" href="#E4:86_4_1"><span class="lab"><font color="Green" title="E42">A2</font></span></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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