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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">T</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="coh_sp.html#K17" title="COH_SP:func.17">TOL</a> <font color="Maroon" title="c1">X</font> holds <br/> ( <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">T</font> <a href="coh_sp.html#K18" title="COH_SP:func.18">`2</a></span>)</span> &amp;  <a href="coh_sp.html#K22" title="COH_SP:func.22">dom</a> <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">T</font> &amp;  <a href="coh_sp.html#K23" title="COH_SP:func.23">cod</a> <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">T</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">T</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="coh_sp.html#K17" title="COH_SP:func.17">TOL</a> <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">T</font> <a href="coh_sp.html#K18" title="COH_SP:func.18">`2</a></span>)</span> &amp;  <a href="coh_sp.html#K22" title="COH_SP:func.22">dom</a> <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">T</font> &amp;  <a href="coh_sp.html#K23" title="COH_SP:func.23">cod</a> <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">T</font> )</span><br/>



<a NAME="E1:76"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3">(<span class="default"><a href="coh_sp.html#K22" title="COH_SP:func.22">dom</a> <span class="p4">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="coh_sp.html#K23" title="COH_SP:func.23">cod</a> <span class="p4">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c2">T</font>,<font color="Maroon" title="c2">T</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">T</font> <a href="coh_sp.html#K18" title="COH_SP:func.18">`2</a></span>)</span></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="coh_sp.html#T42" target="_self" title="COH_SP:th.42">Th43</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:76"/>
( <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">T</font> <a href="coh_sp.html#K18" title="COH_SP:func.18">`2</a></span>)</span> &amp;  <a href="coh_sp.html#K22" title="COH_SP:func.22">dom</a> <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">T</font> &amp;  <a href="coh_sp.html#K23" title="COH_SP:func.23">cod</a> <span class="p1">(<span class="default"><a href="coh_sp.html#K24" title="COH_SP:func.24">id$</a> <font color="Maroon" title="c2">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">T</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="coh_sp.html#E31"><span class="lab"><font color="Green" title="E16">Lm2</font></span></a>, <a class="ref" href="zfmisc_1.html#T27" title="ZFMISC_1:th.27">ZFMISC_1:27</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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