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Proof step 138 from proof fix-bits2bytes (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 139:
⊦ # bits % 8 = 0 ∧ bits ≠ [] → # bits2bytes(bits) = # bits / 8
Proof step 140:
# bits % 8 = 0 ∧ bits ≠ [], # bits % 8 = 0, # bits < n * 8, # bits ≤ 8 * (n - 1), # bits / 8 < n, bits.first ⊦ n * 8 = # bits, bits = [], mklist(i2b(~1), n - # bits / 8) = bits2bytes(mklist(true, n * 8 - # bits))

Rule argument

name: bits2bytes-len-01 rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits