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Proof step 13 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ # bits % 8 ≠ 0 → # bits2bytes(bits) = # bits / 8 + 1
Proof step 15:
# bits % 8 ≠ 0, n ≤ # bits / 8 + 1, # bits ≤ 8 * n ⊦ n = 0, bits = [], fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - # bits) + bits), # bits % 8 = 0

Rule argument

name: bits2bytes-len-02 rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits