suffices ∀ k (hk : k ≤ n), recComplete.aux (motive:=motive) ind n k hk = recCompleteWF (motive:=motive) ind k
  from this n n.le_refl
motive : Nat → Sort u
ind : (n : Nat) → ((k : Nat) → k < n → motive k) → motive n
n : Nat
⊢ recComplete ind n = recCompleteWF ind n
motive : Nat → Sort u
ind : (n : Nat) → ((k : Nat) → k < n → motive k) → motive n
n : Nat
⊢ ∀ (k : Nat) (hk : k ≤ n), recComplete.aux ind n k hk = recCompleteWF ind k