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Proof step 24 from proof fix-bits2bytes-01 (previous step)

# bits = 8 * m + n0, n0 < 8, # bits ≤ 8 * m + 8 ⊦ bits = [], n0 = 0, fix(m + 1, bits2bytes(bits)) = bits2bytes(mklist(bits.first, 8 * m + 8 - # bits) + bits)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ # bytes ≥ n → fix(n, bytes) = lastn(n, bytes)
Proof step 26:
¬ # bits2bytes(bits) ≥ m + 1, # bits = 8 * m + n0, n0 < 8, # bits ≤ 8 * m + 8 ⊦ bits = [], n0 = 0, fix(m + 1, bits2bytes(bits)) = bits2bytes(mklist(bits.first, 8 * m + 8 - # bits) + bits)
Proof step 33:
# bits2bytes(bits) ≥ m + 1, # bits = 8 * m + n0, n0 < 8, # bits ≤ 8 * m + 8 ⊦ bits = [], n0 = 0, lastn(m + 1, bits2bytes(bits)) = bits2bytes(mklist(bits.first, 8 * m + 8 - # bits) + bits)

Rule argument

name: fix-longer rotate: F subst: [bytes, n] → [bits2bytes(bits), m + 1]

Additional information

Used terms: bits2bytes(bits), m + 1