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Proof step 58 from proof fix-bits2bytes-01 (previous step)

# bits = 8 * n0, 8 * n0 ≤ 8 * n, n ≤ n0 ⊦ n = 0, fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - 8 * n0) + bits), bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 59:
⊦ m0 ≠ 0 → (m0 * m ≤ m0 * n ↔ m ≤ n)
Proof step 60:
8 ≠ 0, # bits = 8 * n0, n0 ≤ n, n ≤ n0 ⊦ n = 0, fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - 8 * n0) + bits), bits = []

Rule argument

seq: ⊦ m0 ≠ 0 → (m0 * m ≤ m0 * n ↔ m ≤ n) subst: [n, m, m0] → [n, n0, 8] rotate: F spec: nat-mult inst: name: le

Additional information

Used terms: n, n0, 8