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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="intpro_1.html#K1" title="INTPRO_1:func.1">MC-wff</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> is  <a href="intpro_1.html#V10" title="INTPRO_1:attr.10">S4_theory</a>  implies  <a href="intpro_1.html#K14" title="INTPRO_1:func.14">S4-Taut</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:136"/><span class="lab"><font color="Green" title="E104">A1</font></span>: 
<font color="Maroon" title="c1">T</font> is  <a href="intpro_1.html#V10" title="INTPRO_1:attr.10">S4_theory</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="intpro_1.html#K14" title="INTPRO_1:func.14">S4-Taut</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font></span><br/>

<a NAME="E2:136"/>
 <a href="intpro_1.html#K14" title="INTPRO_1:func.14">S4-Taut</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="intpro_1.html#K13" title="INTPRO_1:func.13">CnS4</a> <font color="Maroon" title="c1">T</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="intpro_1.html#T90" target="_self" onmouseover="rs('intpro_1/T90')" onmouseout="rh()">Th90</a>, <a class="ref" href="xboole_1.html#T2" onmouseover="rs('xboole_1/T2')" onmouseout="rh()">XBOOLE_1:2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:136"/>
 <a href="intpro_1.html#K14" title="INTPRO_1:func.14">S4-Taut</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:136"><span class="lab"><font color="Green" title="E104">A1</font></span></a>, <a class="ref" href="intpro_1.html#T92" target="_self" onmouseover="rs('intpro_1/T92')" onmouseout="rh()">Th92</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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