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Proof step 12 from proof bits2bytes-fill (previous step)

m * 8 = 0, # bits < 8 ⊦ bits = [], bits2bytes(bits) = i2b(bits2int(mklist(bits.first, 8 - # bits) + bits)) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ # bits ≤ 8 → bits2bytes(bits) = i2b(bits2int(bits)) '
Proof step 14:
# bits ≤ 8, m * 8 = 0, # bits < 8 ⊦ bits = [], i2b(bits2int(bits)) ' = i2b(bits2int(mklist(bits.first, 8 - # bits) + bits)) '

Rule argument

name: bits2bytes-base rotate: F subst: [bits] → [bits]

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m; Used terms: bits