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Proof step 5 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ # bytes < n ∧ 0 ≤ bytes2int(bytes) → fix(n, bytes) = mklist(i2b(0), n - # bytes) + bytes
Proof step 7:
¬(# bits2bytes(bits) < n ∧ 0 ≤ bytes2int(bits2bytes(bits))), # bits ≤ 8 * n ⊦ n = 0, bits = [], fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - # bits) + bits), ¬ n ≤ # bits2bytes(bits) ∧ bits.first
Proof step 72:
# bits2bytes(bits) < n ∧ 0 ≤ bytes2int(bits2bytes(bits)), # bits ≤ 8 * n ⊦ n = 0, bits = [], mklist(i2b(0), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes(mklist(bits.first, n * 8 - # bits) + bits), ¬ n ≤ # bits2bytes(bits) ∧ bits.first

Rule argument

name: fix-pos rotate: F subst: [bytes, n] → [bits2bytes(bits), n]

Additional information

Used terms: bits2bytes(bits), n