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<span class="kw">let </span><font color="Maroon" title="c1">t</font>, <font color="Maroon" title="c2">u</font>, <font color="Maroon" title="c3">v</font> be   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-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">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Maroon" title="c2">u</font> is  <a href="grzlog_1.html#V10" title="GRZLOG_1:attr.10">LD-provable</a>  implies <span class="p1">(<span class="default"><font color="Maroon" title="c1">t</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">u</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> is  <a href="grzlog_1.html#V10" title="GRZLOG_1:attr.10">LD-provable</a>  )</span><br/>





<span class="kw">assume </span><a NAME="E1:73"/><span class="lab"><font color="Green" title="E35">A1</font></span>: 
<font color="Maroon" title="c1">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Maroon" title="c2">u</font> is  <a href="grzlog_1.html#V10" title="GRZLOG_1:attr.10">LD-provable</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"> <span class="p1">(<span class="default"><font color="Maroon" title="c1">t</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">u</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> is  <a href="grzlog_1.html#V10" title="GRZLOG_1:attr.10">LD-provable</a> </span><br/>

<a NAME="E2:73"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">t</font> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <font color="Maroon" title="c2">u</font></span>)</span> <a href="grzlog_1.html#K19" title="GRZLOG_1:func.19">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">t</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">u</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span></span>)</span> is  <a href="grzlog_1.html#V10" title="GRZLOG_1:attr.10">LD-provable</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E3:73"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">t</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="grzlog_1.html#K17" title="GRZLOG_1:func.17">'='</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">u</font> <a href="grzlog_1.html#K16" title="GRZLOG_1:func.16">'&amp;'</a> <font color="Maroon" title="c3">v</font></span>)</span> is  <a href="grzlog_1.html#V10" title="GRZLOG_1:attr.10">LD-provable</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:73"><span class="lab"><font color="Green" title="E35">A1</font></span></a>, <a class="ref" href="grzlog_1.html#T22" target="_self" onmouseover="rs('grzlog_1/T22')" onmouseout="rh()">Th62</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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