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<span class="kw">let </span><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">X</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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">a</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">X</font> implies  <a href="toler_1.html#NK1" title="TOLER_1:NK.1">Total</a> <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="coh_sp.html#K15" title="COH_SP:func.15">Toler_on_subsets</a> <font color="Maroon" title="c2">X</font> )</span><br/>



<span class="kw">set </span><font color="Maroon" title="c3">F</font> = <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="coh_sp.html#K14" title="COH_SP:func.14">Toler</a> <font color="Olive" title="b1">Y</font></span>)</span> where <font color="Olive" title="b1">Y</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c2">X</font> : verum </span> } </span> ;<br/>
<span class="kw">assume </span><a NAME="E1:54"/>
<font color="Maroon" title="c1">a</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">X</font>
 ; <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="toler_1.html#NK1" title="TOLER_1:NK.1">Total</a> <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="coh_sp.html#K15" title="COH_SP:func.15">Toler_on_subsets</a> <font color="Maroon" title="c2">X</font></span><br/>

<a NAME="E2:54"/><span class="kw">then </span><span class="lab"><font color="Green" title="E29">A1</font></span>: 
 <a href="coh_sp.html#K14" title="COH_SP:func.14">Toler</a> <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="coh_sp.html#K14" title="COH_SP:func.14">Toler</a> <font color="Olive" title="b1">Y</font></span>)</span> where <font color="Olive" title="b1">Y</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c2">X</font> : verum </span> } </span> 
 
;<br/>
<a NAME="E3:54"/>
 <a href="toler_1.html#NK1" title="TOLER_1:NK.1">Total</a> <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="coh_sp.html#K14" title="COH_SP:func.14">Toler</a> <font color="Maroon" title="c1">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="coh_sp.html#D16" target="_self" onmouseover="rs('coh_sp/D16')" onmouseout="rh()">Def15</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:54"/>
 <a href="toler_1.html#NK1" title="TOLER_1:NK.1">Total</a> <font color="Maroon" title="c1">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="coh_sp.html#K15" title="COH_SP:func.15">Toler_on_subsets</a> <font color="Maroon" title="c2">X</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:54"><span class="lab"><font color="Green" title="E29">A1</font></span></a>, <a class="ref" href="tarski.html#D4" onmouseover="rs('tarski/D4')" onmouseout="rh()">TARSKI:def 4</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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