rfl
case zero
R : Type u
inst✝¹ : CommRing R
inst✝ : IsDomain R
q : ℕ
hp : 1 < Nat.succ (Nat.succ q)
⊢ nat_valuation (Nat.succ (Nat.succ q)) Nat.zero = nat_valuation_aux (Nat.succ (Nat.succ q)) hp Nat.zero
no goals