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Proof step 4 from proof pot-zero (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ n ^ (m + 1) = n ^ m * n
Proof step 6:
m ^ n0 * m = 0, ∀ m. m ^ n0 = 0 → m = 0 ⊦ m = 0

Rule argument

spec: inst: name: rec-01 seq: ⊦ n ^ (m + 1) = n ^ m * n subst: [m, n] → [n0, m] flags: rewrite, current

Additional information

Used terms: n0, m