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Proof step 198 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 199:
⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0
Proof step 200:
n - 1 - m = 0 ∨ 8 = 0, # bits = n0 + m * 8, m < n, # bits2bytes(bits) < n, bits.first, n0 < 8 ⊦ n0 = 0, n * 8 = # bits, bits = [], mklist(i2b(~1), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes(mklist(true, 8 - n0) + bits)

Rule argument

seq: ⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0 subst: [m, m0] → [8, n - 1 - m] rotate: F spec: nat-mult inst: name: zero-01

Additional information

Used terms: 8, n - 1 - m