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<b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="struct_0.html#L1">1-sorted</a> ;<br/>

<b>assume </b><a NAME="E1:8_1_1"/>
<font color="Maroon">S</font> is <a href="realset2.html#V3">trivial</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">T</font> = <font color="Maroon">S</font> as  non <a href="struct_0.html#V3">empty</a> <a href="realset2.html#V3">trivial</a>  <a href="struct_0.html#L1">1-sorted</a>  ;<br/>
<b>assume </b><a NAME="E3:8_1_1"/>
not <font color="Maroon">S</font> is <a href="scmring1.html#V1" target="_self">good</a>
 ;<br/>

<a NAME="E4:8_1_1"/><b>then </b><i><font color="Green">E42</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  or the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="scmring1.html#K1" target="_self">SCM-Instr</a> <font color="Maroon">S</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E5:8_1_1"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font> is <a href="realset1.html#V1">trivial</a>
 
;<br/>
<b>hence </b><a NAME="E6:8_1_1"/>
contradiction
 <b>by </b><i/>;<br/>


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