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Proof step 131 from proof int2bytes-rec-neg-05 (previous step)

0 < i, j + 2 ^ (i * 8 - 1) < 0, j + 2 ^ (i * 8) ≤ 0, j + 2 ^ (i * 8) < i, j < 0, j % 2 ^ (i * 8) < 0, # int2bits(j % 2 ^ (i * 8)) ≤ i→n(i * 8) ⊦ i→n(i * 8) + 1 = # int2bits(j % 2 ^ (i * 8)), 2 ^ (i * 8) = 0, j % 2 ^ (i * 8) = 0, bits2bytes(int2bits(j / 2 ^ (i * 8) - 1) + mklist(true, i→n(i * 8) - # int2bits(j % 2 ^ (i * 8))) + int2bits(j % 2 ^ (i * 8))) = bits2bytes(int2bits(j / 2 ^ (i * 8) - 1)) + fix(i→n(i) + 1, int2bytes(j % 2 ^ (i * 8))).rest, ((i→n(i * 8) - # int2bits(j % 2 ^ (i * 8))) + # int2bits(j % 2 ^ (i * 8))) % 8 = 0

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)), i→n(i * 8)] rotate: F spec: nat inst: name: prop-07

Additional information

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