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<b>let </b><font color="Maroon" title="c1">V</font>, <font color="Maroon" title="c2">C</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font>, <font color="Maroon" title="c5">c</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="substlat.html#K5" title="SUBSTLAT:func.5">SubstLatt</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">C</font></span>)</span>;<br/>





<b>reconsider </b><font color="Maroon" title="c6">a'</font> = <font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c7">b'</font> = <font color="Maroon" title="c4">b</font>, <font color="Maroon" title="c8">c'</font> = <font color="Maroon" title="c5">c</font> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="substlat.html#K1" title="SUBSTLAT:func.1">SubstitutionSet</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">C</font> <b>by </b><i><a class="ref" href="substlat.html#D4" target="_self" title="SUBSTLAT:def.4">Def4</a></i>;<br/>
<b>set </b><font color="Maroon" title="c9">G</font> =  <a href="substlat.html#K5" title="SUBSTLAT:func.5">SubstLatt</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">C</font>;<br/>
<font color="Maroon" title="c3">a</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">b</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Maroon" title="c5">c</font></span>)</span> = 
the <a href="lattices.html#U2" title="LATTICES:sel.2">L_join</a> of <span class="p1">(<span class="default"><a href="substlat.html#K5" title="SUBSTLAT:func.5">SubstLatt</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">C</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c3">a</font>,<span class="p1">(<span class="default"><a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p2">(<span class="default"><font color="Maroon" title="c7">b'</font> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c8">c'</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="substlat.html#D4" target="_self" title="SUBSTLAT:def.4">Def4</a></i>
<br/>.= 
 <a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p3">(<span class="default"><font color="Maroon" title="c7">b'</font> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c8">c'</font></span>)</span></span>)</span> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c6">a'</font></span>)</span>
<b>by </b><i><a class="ref" href="substlat.html#D4" target="_self" title="SUBSTLAT:def.4">Def4</a></i>
<br/>.= 
 <a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">a'</font> <a href="finsub_1.html#K1" title="FINSUB_1:func.1">\/</a> <span class="p2">(<span class="default"><font color="Maroon" title="c7">b'</font> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c8">c'</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="substlat.html#T13" target="_self" title="SUBSTLAT:th.13">Th13</a></i>
<br/>.= 
 <a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">a'</font> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c7">b'</font></span>)</span> <a href="finsub_1.html#K1" title="FINSUB_1:func.1">\/</a> <font color="Maroon" title="c8">c'</font></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T4" title="XBOOLE_1:th.4">XBOOLE_1:4</a></i>
<br/>.= 
 <a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p3">(<span class="default"><font color="Maroon" title="c6">a'</font> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c7">b'</font></span>)</span></span>)</span> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c8">c'</font></span>)</span>
<b>by </b><i><a class="ref" href="substlat.html#T13" target="_self" title="SUBSTLAT:th.13">Th13</a></i>
<br/>.= 
the <a href="lattices.html#U2" title="LATTICES:sel.2">L_join</a> of <span class="p1">(<span class="default"><a href="substlat.html#K5" title="SUBSTLAT:func.5">SubstLatt</a> <font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">C</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <span class="p1">(<span class="default"><a href="substlat.html#K3" title="SUBSTLAT:func.3">mi</a> <span class="p2">(<span class="default"><font color="Maroon" title="c6">a'</font> <a href="substlat.html#K2" title="SUBSTLAT:func.2">\/</a> <font color="Maroon" title="c7">b'</font></span>)</span></span>)</span>,<font color="Maroon" title="c8">c'</font>
<b>by </b><i><a class="ref" href="substlat.html#D4" target="_self" title="SUBSTLAT:def.4">Def4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Maroon" title="c4">b</font></span>)</span> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Maroon" title="c5">c</font>
<b>by </b><i><a class="ref" href="substlat.html#D4" target="_self" title="SUBSTLAT:def.4">Def4</a></i>
;<br/>
<b>hence </b><a NAME="E3:42"/>
<font color="Maroon" title="c3">a</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">b</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Maroon" title="c5">c</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Maroon" title="c4">b</font></span>)</span> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Maroon" title="c5">c</font>
 ;<br/>


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