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1. Definition & Example

the 5 Posets of size 3
  ([],3)   ([(1,2)],3)   ([(0,1),(0,2)],3)   ([(0,2),(2,1)],3)   ([(0,2),(1,2)],3)

2. Additional information

2.1. Notations

2.2. Extensions of Posets

3. References

[Bru10]   R. Brualdi, Partial orders and equivalence relations, Combinatorics Fifth Edition (2010).

[Sta10]   R. Stanley, Enumerative Combinatorics Vol 1, Second edition, Cambridge Studies in Advanced Mathematics (2011).

[Wei14]   E. Weisstein, Cover relation, Math World (2014).

4. Sage examples

5. Technical information for database usage