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<b>let </b><font color="Maroon" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="relat_2.html#D1" title="RELAT_2:def.1">RELAT_2:def 1</a>,<a class="ref" href="pcs_0.html#D9" target="_self" title="PCS_0:def.9">PCS_0:def 9</a><br/>

<b>assume </b><a NAME="E1:214_1_1"/><i><font color="Green" title="E70">A1</font></i>: 
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span>
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c6">x</font> = <font color="Maroon" title="c5">x</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c3">P</font> ;<br/>
<a NAME="E3:214_1_1"/><i><font color="Green" title="E71">A2</font></i>: 
<font color="Maroon" title="c6">x</font> is <a href="pcs_0.html#V21" title="PCS_0:attr.21">pcs-self-coherent</a>
 
<b>by </b><i><a class="txt" href="pcs_0.html#E1:214_1_1"><i><font color="Green" title="E70">A1</font></i></a>, <a class="ref" href="pcs_0.html#D44" target="_self" title="PCS_0:def.44">Def44</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="214_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">a</font>, <font color="Maroon" title="c8">b</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>assume </b><a NAME="E1:214_1_1_1"/><i><font color="Green" title="E72">A3</font></i>: 
( <font color="Maroon" title="c7">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">x</font> &amp; <font color="Maroon" title="c8">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">x</font> )
 ;<br/><b>reconsider </b><font color="Maroon" title="c9">a1</font> = <font color="Maroon" title="c7">a</font>, <font color="Maroon" title="c10">b1</font> = <font color="Maroon" title="c8">b</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">P</font> <b>by </b><i><a class="txt" href="pcs_0.html#E1:214_1_1_1"><i><font color="Green" title="E72">A3</font></i></a></i>;<br/><a NAME="E3:214_1_1_1"/>
<font color="Maroon" title="c9">a1</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Maroon" title="c10">b1</font>
 <b>by </b><i><a class="txt" href="pcs_0.html#E3:214_1_1"><i><font color="Green" title="E71">A2</font></i></a>, <a class="txt" href="pcs_0.html#E1:214_1_1_1"><i><font color="Green" title="E72">A3</font></i></a>, <a class="ref" href="pcs_0.html#D43" target="_self" title="PCS_0:def.43">Def43</a></i>;<br/><b>hence </b><a NAME="E4:214_1_1_1"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pcs_0.html#U1" title="PCS_0:sel.1">ToleranceRel</a> of <font color="Maroon" title="c3">P</font>
 <b>by </b><i><a class="ref" href="pcs_0.html#D7" target="_self" title="PCS_0:def.7">Def7</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:214_1_1"/>
<span class="p1"><a href="pcs_0.html#NK13" title="PCS_0:NK.13">[^</a><span class="default">,</span><a href="pcs_0.html#NK13" title="PCS_0:NK.13">^]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pcs_0.html#U1" title="PCS_0:sel.1">ToleranceRel</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span>
 <b>by </b><i><a class="txt" href="pcs_0.html#E1:214_1_1"><i><font color="Green" title="E70">A1</font></i></a>, <a class="ref" href="pcs_0.html#D46" target="_self" title="PCS_0:def.46">Def46</a></i>;<br/>


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