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Proof step 204 from proof int2bytes-rec-neg-05 (previous step)

((8 * i→n(i) - # int2bits(j % 2 ^ (i * 8))) + # int2bits(j % 2 ^ (i * 8))) % 8 = 0, 0 ≤ i, # int2bits(j % 2 ^ (i * 8)) ≤ 8 * i→n(i), j % 2 ^ (i * 8) < 0, j + 2 ^ (i * 8) < i, j + 2 ^ (i * 8) ≤ 0, j + 2 ^ (i * 8 - 1) < 0, 0 < i ⊦ bits2bytes(mklist(true, 8 * i→n(i) - # int2bits(j % 2 ^ (i * 8))) + int2bits(j % 2 ^ (i * 8))) = fix(i→n(i) + 1, bits2bytes(int2bits(j % 2 ^ (i * 8)))).rest, j % 2 ^ (i * 8) = 0, mklist(true, 8 * i→n(i) - # int2bits(j % 2 ^ (i * 8))) + int2bits(j % 2 ^ (i * 8)) = [], 1 + 8 * i→n(i) = # int2bits(j % 2 ^ (i * 8))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ n < m → (m - n) + n = m subst: [n, m] → [# int2bits(j % 2 ^ (i * 8)), 8 * i→n(i)] rotate: F spec: nat inst: name: prop-07

Additional information

Used terms: # int2bits(j % 2 ^ (i * 8)), 8 * i→n(i)