no goals
n : ℕ
⊢ 0 + n < ack 0 n
simp
no goals
m : ℕ
⊢ m + 1 + 0 < ack (m + 1) 0
simpa using add_lt_ack m 1
no goals
m n : ℕ
⊢ m + 1 + n + 1 ≤ m + (m + n + 2)
linarith
m n : ℕ
⊢ m + n + 2 = m + 1 + n + 1
m n : ℕ
⊢ m + n + 2 = succ (m + 1 + n)
rw [succ_eq_add_one]
no goals
m n : ℕ
⊢ m + n + 2 = m + 1 + n + 1
ring_nf