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Nov 30, 2015 at 13:16 comment added Richard Stanley Another reference is Section 3.4 of my book Enumerative Combinatorics, vol. 1, second edition.
Nov 30, 2015 at 4:59 comment added Sebastien Palcoux @DavidEppstein: if I'm not mistaken, this page does not precise that a length $n$ distributive lattice admits exactly $n$ join-irreducible elements. Anyway, I've found the more complete statement in the book Lattice theory of Garett Birkhoff, corollary 2 p59.
Nov 30, 2015 at 4:33 vote accept Sebastien Palcoux
Nov 29, 2015 at 17:31 comment added David Eppstein en.wikipedia.org/wiki/Birkhoff%27s_representation_theorem
Nov 29, 2015 at 14:25 history answered Richard Stanley CC BY-SA 3.0