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Proof step 56 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 57:
⊦ m * n = n * m
Proof step 58:
# 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 = []

Rule argument

seq: ⊦ m * n = n * m subst: [n, m] → [8, n0] rotate: F spec: nat-mult inst: name: mult-c

Additional information

Used terms: 8, n0