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Proof step 3 from proof pot-zero (previous step)

∀ m. m ^ n0 = 0 → m = 0, m ^ n0 +1 = 0 ⊦ m = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
m ^ (n0 + 1) = 0, ∀ m. m ^ n0 = 0 → m = 0 ⊦ m = 0

Rule argument

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2