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Proof step 35 from proof ushort-band-shift (previous step)

256 + i * 256 + (j0 - 1) = 256 * (i + 1) + (j0 - 1), 1 + i * 256 + (j0 - 1) = i * 256 + j0, s2i(sho) = (i * 256 + (j0 - 1)) * 256, i * 256 + (j0 - 1) < 0, ~256 ≤ i * 256 + (j0 - 1), abs(j0) < 256, i * 256 + (j0 - 1) < ~1, j0 ≤ 0, i ≤ 0 ⊦ 255 + j0 = (256 + i * 256 + (j0 - 1)) % 256

User applied rule insert equation

And obtained the following new goals

Proof step 36:
1 + i * 256 + (j0 - 1) = i * 256 + j0, s2i(sho) = (i * 256 + (j0 - 1)) * 256, i * 256 + (j0 - 1) < 0, ~256 ≤ i * 256 + (j0 - 1), abs(j0) < 256, i * 256 + (j0 - 1) < ~1, j0 ≤ 0, i ≤ 0 ⊦ 255 + j0 = (256 * (i + 1) + (j0 - 1)) % 256

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: ⊦ i * j = j * i;