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Proof step 8 from proof bits2bytes-len-02 (previous step)

n < 8 ⊦ (m * 8 + n - 1) / 8 = m, n = 0, bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ n ≤ n0 → m + n0 - n = m + (n0 - n)
Proof step 10:
1 ≤ n, n < 8 ⊦ (m * 8 + (n - 1)) / 8 = m, n = 0, bits = []

Rule argument

seq: ⊦ n ≤ n0 → m + n0 - n = m + (n0 - n) subst: [n, n0, m] → [1, n, m * 8] rotate: F spec: nat inst: name: add-03

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < 1 ↔ m = 0; Used terms: 1, n, m * 8