map length (tiers :: [[ Nat3 ]])  =  [1,1,1]

length (list :: [ Nat3 ])  =  3

allUnique (list :: [ Nat3 ])  =  True

ratioRepetitions (list :: [ Nat3 ])  =  0 % 1

tiers :: [Nat3]  =
  [ [0]
  , [1]
  , [2]
  ]