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Proof step 10 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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ # bits % 8 = 0 ∧ bits ≠ [] → # bits2bytes(bits) = # bits / 8
Proof step 12:
¬(# bits % 8 = 0 ∧ bits ≠ []), n ≤ # bits2bytes(bits), # bits ≤ 8 * n ⊦ n = 0, bits = [], fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - # bits) + bits)
Proof step 52:
# bits % 8 = 0 ∧ bits ≠ [], n ≤ # bits / 8, # bits ≤ 8 * n ⊦ n = 0, bits = [], fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - # bits) + bits)

Rule argument

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

Additional information

Used terms: bits