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<span class="kw">let </span><font color="Maroon" title="c1">S1</font>, <font color="Maroon" title="c2">S2</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">S1</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">S2</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a>  implies  <a href="substut1.html#K29" title="SUBSTUT1:func.29">Sub_the_right_argument_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K21" title="SUBSTUT1:func.21">Sub_&amp;</a> (<font color="Maroon" title="c1">S1</font>,<font color="Maroon" title="c2">S2</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">S2</font> )</span><br/>



<span class="kw">assume </span><a NAME="E1:64"/><span class="lab"><font color="Green" title="E36">A1</font></span>: 
<font color="Maroon" title="c1">S1</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">S2</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="substut1.html#K29" title="SUBSTUT1:func.29">Sub_the_right_argument_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K21" title="SUBSTUT1:func.21">Sub_&amp;</a> (<font color="Maroon" title="c1">S1</font>,<font color="Maroon" title="c2">S2</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">S2</font></span><br/>

<a NAME="E2:64"/><span class="kw">then </span>
 <a href="substut1.html#K21" title="SUBSTUT1:func.21">Sub_&amp;</a> (<font color="Maroon" title="c1">S1</font>,<font color="Maroon" title="c2">S2</font>) is  <a href="substut1.html#V6" title="SUBSTUT1:attr.6">Sub_conjunctive</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#T13" target="_self" title="SUBSTUT1:th.13">Th13</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:64"/>
 <a href="substut1.html#K29" title="SUBSTUT1:func.29">Sub_the_right_argument_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K21" title="SUBSTUT1:func.21">Sub_&amp;</a> (<font color="Maroon" title="c1">S1</font>,<font color="Maroon" title="c2">S2</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">S2</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:64"><span class="lab"><font color="Green" title="E36">A1</font></span></a>, <a class="ref" href="substut1.html#D32" target="_self" title="SUBSTUT1:def.32">Def32</a></span>; <a class="txt" 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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