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Proof step 2 from proof n2s-zero (previous step)

n→s(n) = "0" ⊦ n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 10 ≤ n → n→s(n) = n→s(n / 10) + n→s(n % 10)
Proof step 4:
¬ 10 ≤ n, n→s(n) = "0" ⊦ n = 0
Proof step 77:
10 ≤ n, n→s(n / 10) + n→s(n % 10) = "0" ⊦ n = 0

Rule argument

spec: inst: name: n2s-rec seq: ⊦ 10 ≤ n → n→s(n) = n→s(n / 10) + n→s(n % 10) subst: [n] → [n] flags: rewrite, current

Additional information

Used terms: n