775.lean:9:2: proof state
P Q : ℕ → ℕ → Prop,
p : P 0 0
⊢ Q 0 0

P Q : ℕ → ℕ → Prop,
a : ℕ,
v_0 : P 0 a → Q 0 a,
p : P 0 (succ a)
⊢ Q 0 (succ a)

P Q : ℕ → ℕ → Prop,
a : ℕ,
v_0 : ∀ m, P a m → Q a m,
p : P (succ a) 0
⊢ Q (succ a) 0

P Q : ℕ → ℕ → Prop,
a : ℕ,
v_0 : ∀ m, P a m → Q a m,
a_1 : ℕ,
v_0_1 : P (succ a) a_1 → Q (succ a) a_1,
p : P (succ a) (succ a_1)
⊢ Q (succ a) (succ a_1)

P Q : ℕ → ℕ → Prop,
n m : ℕ,
p : P n m
⊢ false