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Proof step 22 from proof bits2bytes-mklist (previous step)

n % 8 = 0, 8 < n, ∀ n0. n0 < n → n0 % 8 = 0 → n0 = 0 ∨ bits2bytes(mklist(false, n0)) = mklist(i2b(0), n0 / 8) ⊦ bits2bytes(mklist(false, n - 8)) + i2b(0) ' = mklist(i2b(0), n / 8)

User applied rule apply induction

And obtained the following new goals

Rule argument

subst: [n0] → [n - 8]

Additional information

Used simplifier rules: ⊦ m < n → ¬ n < m;% ⊦ ¬ m ≤ n ↔ n < m;%n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0;% ⊦ ¬ m < n ↔ n ≤ m;% ⊦ m + n ≤ m ↔ n = 0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: n - 8