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Proof step 216 from proof int2bytes-rec-pos-any (previous step)

i→n(i * 8) % 8 = 0, # int2bits(j % 2 ^ (i * 8)) = m * 8 + n, 0 ≤ bytes2int(bits2bytes(int2bits(j % 2 ^ (i * 8)))), m * 8 + n < i→n(i * 8), 0 < i, 2 ^ (i * 8) ≤ j, 0 ≤ j % 2 ^ (i * 8), m < i→n(i), n < 8 ⊦ mklist(false, i→n(i * 8) - m * 8 + n) + int2bits(j % 2 ^ (i * 8)) = [], i→n(i * 8) + 1 = m * 8 + n, m * 8 + n = i→n(i * 8), i = 0, bits2bytes(mklist(false, i→n(i * 8) - m * 8 + n) + int2bits(j % 2 ^ (i * 8))) = mklist(i2b(0), i→n(i) - m + 1) + bits2bytes(int2bits(j % 2 ^ (i * 8))), n = 0

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: i→n(i * 8) - m * 8 + n = 8 * (i→n(i) -1 - m) + (8 - n)

Additional information

Used formulas: i→n(i * 8) - m * 8 + n = 8 * (i→n(i) -1 - m) + (8 - n)