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Why does the definition of (:+:) use the pipe character "|", but the definition of (:*:) uses the ":*:" operator?

Is that a typo (copied from, or is there a reason for the difference?

-- | Sums: encode choice between constructors
infixr 5 :+:
data (:+:) f g p = L1 (f p) | R1 (g p)
-- | Products: encode multiple arguments to constructors
infixr 6 :*:
data (:*:) f g p = f p :*: g p

Is it just fallout from of "asymmetry" in Haskell language spec, where Sum types need the pipe to separate the alternations, but Product types are written with the factors simply adjacent without a separator? (and then it looks pretty to use infix constructor ":*:" instead of a prefix constructor "P")