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<b>let </b><font color="Maroon" title="c1">p</font>, <font color="Maroon" title="c2">q</font>, <font color="Maroon" title="c3">r</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="nat_lat.html#K3" title="NAT_LAT:func.3">Nat_Lattice</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c1">p</font>,<span class="p1">(<span class="default"><a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c3">r</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <span class="p1">(<span class="default"><a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">q</font></span>)</span>,<font color="Maroon" title="c3">r</font></span><br/>





<b>set </b><font color="Maroon" title="c4">s</font> = <font color="Maroon" title="c2">q</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Maroon" title="c3">r</font>;<br/>
<b>thus </b><a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c1">p</font>,<span class="p1">(<span class="default"><a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c2">q</font>,<font color="Maroon" title="c3">r</font></span>)</span> = 
<font color="Maroon" title="c1">p</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">q</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Maroon" title="c3">r</font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Maroon" title="c2">q</font></span>)</span> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Maroon" title="c3">r</font>
<b>by </b><i><a class="ref" href="newton.html#T56" title="NEWTON:th.56">NEWTON:56</a></i>
<br/>.= 
<a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <span class="p1">(<span class="default"><a href="nat_lat.html#K2" title="NAT_LAT:func.2">lcmlat</a>  <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c1">p</font>,<font color="Maroon" title="c2">q</font></span>)</span>,<font color="Maroon" title="c3">r</font>

; <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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