2data Parity : Nat -> Type where
4 Odd : Parity (S (n + n))
6parity : (n:Nat) -> Parity n
8parity (S Z) = Odd {n=Z}
9parity (S (S k)) with (parity k)
10 parity (S (S (j + j))) | Even = Even {n=S j}
11 parity (S (S (S (j + j)))) | Odd = Odd {n=S j}
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