Exploring Partially ordered sets Ordered by the subset
Exploring Partially ordered sets Ordered by the subset relation
4: Pow({a, b, c, d}) {a, b, c, d} {a, c, d} {b, c, d} {d} {b, d} 1 x 4 {a, b, d} {a, d} {b, c} {a, c} {b} {a, b} {a} 4 x 3 4 x 2 4 x 1 1 x 0 {Ø}
5: Pow({a, b, c, d, e}) {a, b, c, d, e} {c, d, e} {b, d, e} {c, d} {e} {a, c, d, e} {b, c, d} {b, d} {a, d} {d} 1 X 5 {a, b, d, e} {a, c} {Ø} {a, b, c, e} {a, b, c, d} 5 X 4 {a, c, e} {a, c, d} {a, b, e} {a, b, d} {a, b, c} 10 X 3 {c, e} {b, c} {b, e} {a, b} 10 X 2 {b} {a} 5 X 1 1 X 0
6: Pow({a, b, c, d, e, f}) {a, b, c, d, e, f} {c, d, e, f} {b, d, e, f} {a, c, d, e, f} {b, c, e, f} {a, b, d, e, f} {b, c, d, e} {a, d, e, f} {a, c, e, f} {d, e, f} {c, d, e} {b, e, f} {b, d, e} {e, f} {d, f} {c, f} {d, e} {c, e} {b, c, f} {b, c, e} {c, d} {b, f} 1 X 6 {a, b, c, e, f} {a, c, d, e} {a, b, e, f} {b, c, d} {a, e, f} {b, e} {a, b, c, d, f} {b, d} {a, b, d, f} {a, b, c, d, e} {a, b, c, f} 6 X 5 {a, b, c, e} {a, b, c, d} {a, d, f} {a, d, e} {a, c, f} {a, c, d} {a, b, f} {a, b, e} {a, b, d} {a, b, c} {a, f} {a, e} {a, d} {a, c} 15 X 4 20 X 3 {a, b} 15 X 2 6 X 1 {f} {e} {d} {c} {b} {a} 1 X 0 {Ø}
7: Pow({a, b, c, d, e, f, g}) {a, b, c, d, e, f, g} {c, d, e, {b, d, e, f, g} {d, e, f, g} {c, d, e, g} {d, f, {d, g} e, f} {b, c, e, f, g} {a, c, d, e, f, g} {b, c, d, e, g} {b, e, f, g} {b, d, e, g} {c, f, {c, g} e, g} {c, e, f} {c, d, g} {c, d, e, f} {f, g} {e, f} {g} {b, d, e, f} {b, c, f, g} {c, d, f} {b, c, e, g} {c, d, e} {d, g} {d, f} {a, b, d, e, f, g} {a, d, e, f, g} {b, c, e, f} {a, c, e, f, g} {b, c, d, g} {a, c, d, f, g} {b, c, d, f} {b, f, {b, g} e, f} {b, c, d, e} {b, d, g} {d, e} {c, g} {c, f} {e} 1 X 7 {a, b, c, e, f, g} {a, c, d, e, g} {a, e, f, g} {b, d, f} {c, e} {a, d, f, g} {b, d, e} {a, b, e, f, g} {a, c, d, e, f} {a, c, f, g} {a, d, e, g} {b, c, g} c, f} {c, d} {Ø} {a, b, c, d, f, g} {a, d, e, f} {b, c, e} {a, b, d, f, g} {a, b, d, e, g} {a, c, e, f} {b, c, d} {a, f, g} {b, f} {b, e} {c} {a, b, c, d, e, g} {a, b, d, e, f} {a, b, c, f, g} {a, c, d, f} {a, c, d, e} {a, b, f, g} {a, e, f} {a, d, g} {a, d, f} {b, d} {b, c} {a, g} {b} {a, b, c, e, g} {a, b, e, g} {a, d, e} {a, f} {a, b, e, f} {a, c, g} {a, b, c, d, e, f} {a, b, c, d, g} {a, b, d, f} {a, c, f} c, e} {a, d} {a, c, d} 7 X 6 {a, b, c, d, f} {a, b, d, e} {a, b, g} {a, b, c, d, e} {a, b, c, g} {a, b, c, f} {a, b, e} {a, c} {a, b} 21 X 5 {a, b, c, e} {a, b, c, d} 35 X 4 {a, b, d} b, c} 35 X 3 21 X 2 7 X 1 1 X 0
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