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Proof step 94 from proof fix-bits2bytes-01 (previous step)

# bits = m * 8 + n0, (m * 8 + n0) % 8 = 0, m < n, # bits2bytes(bits) < n, n0 < 8 ⊦ n0 = 0, n * 8 = m * 8 + n0, bits = [], mklist(i2b(0), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes(mklist(false, (n - 1 - m) * 8) + mklist(false, 8 - n0) + bits), bits.first, ((8 - n0) + m * 8 + n0) % 8 = 0 ∧ (n - 1 - m) * 8 ≠ 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

Used simplifier rules: n ≠ 0 ⊦ (m + n0 * n) % n = m % n;% ⊦ m < n → m % n = m;% ⊦ m0 * m * n = (m0 * m) * n;% ⊦ m * n = n * m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: m * 8, n0, 8