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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>assume </b><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:()"><i><font color="Red">::  thesis: </font></i></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"/><b>then </b>
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>
 
<b>by </b><i><a class="ref" href="roughs_1.html#D2" target="_self" title="ROUGHS_1:def.2">Def2</a></i>;<br/>
<b>hence </b><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>
 <b>by </b><i><a class="ref" href="roughs_1.html#D3" target="_self" title="ROUGHS_1:def.3">Def3</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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