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<span class="kw">let </span><font color="Maroon" title="c1">L</font> be    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">L</font> is  <a href="roughs_1.html#V2" title="ROUGHS_1:attr.2">with_equivalence</a>  implies <font color="Maroon" title="c1">L</font> is  <a href="roughs_1.html#V3" title="ROUGHS_1:attr.3">with_tolerance</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:23_1_1"/>
<font color="Maroon" title="c1">L</font> is  <a href="roughs_1.html#V2" title="ROUGHS_1:attr.2">with_equivalence</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">L</font> is  <a href="roughs_1.html#V3" title="ROUGHS_1:attr.3">with_tolerance</a> </span><br/>

<a NAME="E2:23_1_1"/><span class="kw">then </span>
the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L</font> is   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="roughs_1.html#D2" target="_self" title="ROUGHS_1:def.2">Def2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:23_1_1"/>
<font color="Maroon" title="c1">L</font> is  <a href="roughs_1.html#V3" title="ROUGHS_1:attr.3">with_tolerance</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="roughs_1.html#D3" target="_self" title="ROUGHS_1:def.3">Def3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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