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Proof step 7 from proof n2s-empty (previous step)

n→s(n / 10) = "", n→s(n % 10) = "", 10 ≤ n, ∀ n0. n0 < n → n→s(n0) = "" → false ⊦ n = 0

User applied rule apply induction

And closed the goal!

Rule argument

subst: [n0] → [n / 10]

Additional information

Used simplifier rules: ⊦ ¬ m < n ↔ n ≤ m;%m0 ≠ 0 ⊦ n ≤ m / m0 ↔ n * m0 ≤ m;% ⊦ n ≠ 0 → (m * n ≤ n ↔ m ≤ 1);% ⊦ m0 * m * n = (m0 * m) * n;% ⊦ m * n = n * m; Used terms: n / 10