import NNG.Levels.Power.Level_1

Game "NNG"
World "Power"
Level 2
Title "zero_pow_succ"

open MyNat

Statement MyNat.zero_pow_succ
"For all naturals $m$, $0 ^{\\operatorname{succ} (m)} = 0$."
    (m : ℕ) : (0 : ℕ) ^ (succ m) = 0 := by
  rw [pow_succ]
  rw [mul_zero]
  rfl

LemmaTab "Pow"