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Proof step 53 from proof fix-bits2bytes-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 54:
⊦ n ≠ 0 → (m % n = 0 ↔ (∃ n0. m = n0 * n))
Proof step 55:
8 ≠ 0, ∃ n0. # bits = n0 * 8, # bits ≤ 8 * n, n ≤ # bits / 8 ⊦ bits = [], fix(n, bits2bytes(bits)) = bits2bytes(mklist(bits.first, n * 8 - # bits) + bits), n = 0

Rule argument

seq: ⊦ n ≠ 0 → (m % n = 0 ↔ (∃ n0. m = n0 * n)) subst: [n, m] → [8, # bits] rotate: F spec: nat-div inst: name: modex

Additional information

Used terms: 8, # bits