Every finite nearlattice with at least 83 times 2 to the (n minus 8) subnearlattices is planar, and for n at least 9 this bound is sharp.
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Planar semilattices and nearlattices with eighty-three subnearlattices
Every finite nearlattice with at least 83 times 2 to the (n minus 8) subnearlattices is planar, and for n at least 9 this bound is sharp.