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First failed attempt (this poset is not a lattice) triangle inequality fails for the three .5 nodes in the middle
Second attempt Our lattice consists of sets, with intersection and union. I show them by Venn diagrams here... The same three middle sets fail the triangle inequality for the same reasons as before. But now it is surely a lattice, right?
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2 | second attempt | ||
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First failed attempt (this poset is not a lattice) triangle inequality fails for the three .5 nodes in the middle
Second attempt Our lattice consists of sets, with intersection and union. I show them by Venn diagrams here... The same three middle sets fail the triangle inequality for the same reasons as before. But now it is surely a lattice, right?
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triangle inequality fails for the three .5 nodes in the middle
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