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Proof step 230 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 231:
⊦ bits ≠ [] ∧ # bits % 8 = n ∧ n ≠ 0 → bits2bytes(bits) = bits2bytes(mklist(bits.first, 8 - n) + bits)
Proof step 232:
¬(bits ≠ [] ∧ # bits % 8 = n0 ∧ n0 ≠ 0), # bits = m * 8 + n0, bits.first, n0 < 8, m < n, 1 + m < n ⊦ n0 = 0, mklist(true, 8 - n0) + bits = [], n * 8 = # bits, bits = [], bits2bytes(bits) = bits2bytes(mklist(true, 8 - n0) + bits)

Rule argument

name: bits2bytes-fill rotate: F subst: [bits, n] → [bits, n0]

Additional information

Used terms: bits, n0